An isosceles triangle has no line of symmetry. Point of symmetry: The centroid (intersection of medians).

An isosceles triangle has no line of symmetry. Apr 28, 2022 · It depends on the type of triangle: -- scalene triangles have three sides of different length, and no lines of symmetry -- isoceles triangles have one line of symmetry that includes the apex -- equilateral triangles have three lines of symmetry, all bisectors through a vertex Apr 27, 2022 · A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle. Step by Step Solution: Step 1 Identify that an isosceles triangle has two equal sides and one unequal side. A scalene triangle has 0 lines of symmetry. -improvement: an isosceles triangle actually has three lines of symmetry, equal to the number of sides. Proof: Because there is an odd number of vertices, one of them must lie on the line of symmetry. Thus, the answer is option 2: Isosceles Triangle. LINE OF SYMMETRY OF A FIGURE: This is an isosceles triangle. This line of symmetry can be thought of as a reflection across itself that takes the isosceles Apr 28, 2022 · For a right isosceles triangle (45-45-90), there is one line of symmetry that bisects the hypotenuse. Every line bisects a side. A scalene triangle has no lines of symmetry. In a scalene triangle, all sides are unequal and all angles are unequal. Other shapes, like squares and circles, have multiple lines of symmetry, making them different from the isosceles triangle. Examples of quadrilateral include: Rectangle Square rhombus A line of symmetry is a line that divides a shape such that they become mirror images of each Although the line of symmetry of an isosceles triangle is an angle bisector, median, perpendicular bisector, and an altitude, in most triangles, these lines are different. This is because a triangle can only be an isosceles triangle if it has two equal sides. A regular pentagon has five lines of symmetry: each passing through a vertex and the midpoint of the opposite side. Students will first learn about rotational symmetry as part of geometry in high school. It has no line of symmetry. Sep 20, 2020 · Q5. Generally, any figure with no symmetrical properties will lack a line of symmetry. The letters A, B, C, D, E, and M of the English alphabet have also exactly one line of symmetry as shown below. No triangle can have exactly 2 lines of symmetry. Aug 19, 2018 · An isosceles triangle has only one line of symmetry, which runs from its vertex down to the midpoint of its base. Apr 28, 2022 · An equilateral triangle has 3 lines of symmetry whereas an isosceles triangle only has 1 line of symmetry and other triangles have no lines of symmetry. Jun 6, 2023 · An isosceles triangle has one line of symmetry: the perpendicular bisector of the base. Equilateral Triangle. What is it?" Answer: Equilateral Triangle c. Parts of a shape on either side of a line of symmetry will be exact mirror images of each other. An isosceles triangle has only 1 line of symmetry. The line of fold is the axis of symmetry. Aug 3, 2023 · Types Based on the orientation of the symmetry line of an object, lines of symmetry are of 3 types: Vertical Line of Symmetry It is an imaginary vertical line that goes from top to bottom (or vice-versa) in an object and divides it into right and left mirror halves. Though it's usually defined as having three sides of different lengths, this is an equivalent definition: all equilateral triangles have three lines of symmetry, and all isosceles triangles have one (no triangle has two lines of symmetry). There are also rotational symmetry worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck. It has no equal sides. For example, a club shape has a vertical line of symmetry. A square has 4, a circle has infinete and a rhombus has 2 so it has to be an isoceles triangle. This line of symmetry can be drawn by joining the vertex between equal sides and the midpoint of The isosceles triangle has one line of symmetry, the perpendicular bisector of the base. Answer: Question 2. A line of symmetry is also called a mirror line. This triangle has 2 sides of equal length. Unlike equilateral triangles that have three lines of symmetry and scalene triangles that lack any, isosceles triangles are distinct for their single line of reflectional Sep 18, 2019 · An isosceles triangle: An isosceles triangle has one line of symmetry that runs from the top vertex to the midpoint of the base. The two halves of a symmetrical body exactly match in shape and size. Apr 20, 2020 · The figure that does not have a line of symmetry is a scalene triangle, which has no equal sides or angles. By definition, an isosceles triangle has at least two congruent sides. Oct 17, 2024 · A scalene triangle has none, an isosceles triangle has 1 line of symmetry and and equilateral triangle has 3 so I don't think so. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. "My quadrilateral has no lines of symmetry, but it does have 180 degree rotation symmetry. But, which triangle has 0 reflection symmetries? Lines of Symmetry Lines of symmetry are imaginary lines that divide a geometric shape into two mirror-image halves. That would also mean there are no lines of symmetry. What is it?" Answer: Isosceles Triangle b. The ellipse has two lines of symmetry, one along the major and one along the minor axis. If there is a line about which it can be folded so that the two equal parts of the figure coincide, that line is called the line of symmetry or line of reflection. An equilateral and isosceles triangle will then have lines of symmetry, as shown below, while a scalene triangle will not since scalene triangles do not have any congruent sides. Two equal angle measures are the same. Different two-dimensional shapes have different numbers of lines of symmetry. A triangle can have 0, 1 or 3 lines of symmetry. Scalene Triangle: A scalene triangle has no lines of symmetry, as all sides and angles are different and there is no way to divide it into two equal parts along any line. (ii) Isosceles triangle An isosceles triangle has 1 line of symmetry, passing through the vertex angle and the midpoint Sep 7, 2018 · Reflection symmetry means that one half of a figure is a mirror image of the other. The angles inside this triangle can be an acute, obtuse or right angle. Nov 3, 2022 · Any triangle that is not isosceles or equilateral. Quadrilaterals are figures with four sides and angles. How many lines of reflectional symmetry does an equilateral triangle have? An isosceles triangle, a kite, and a semicircle are examples a symmetrical shapes with only 1 line of symmetry. In this article, we will talk about the concept of line of symmetry, along with its definition, and properties. A shape can have more than one line of symmetry. Rotational symmetry: An object has rotational symmetry if it looks unchanged after being turned (rotated) by some specific amount less than a full 360-degree spin. It has no equal angles. The axis of symmetry of an isosceles triangle passes through its vertex and the middle of the base. In a scalene obtuse triangle, the circumcenter will lie outside the triangle. Marking one of the corners can help us to know when a Rotational Symmetry Here we will learn about rotational symmetry, including rotational symmetry within polygons, angle properties, and symmetry of different line graphs. Axis of symmetry in an isosceles triangle An isosceles triangle has one axis of symmetry. Complete step-by-step answer: We know that the line of symmetry is the imaginary line where you could fold the image and have both halves match exactly. Hence, it has three line of symmetry. The line of symmetry in an isosceles right-angle triangle runs from the right angle to the midpoint of the hypotenuse. Isosceles triangles have one line of symmetry. Here are some examples of shapes and their lines of symmetry: Isosceles Triangle This triangle has two equal sides and one line of symmetry that runs from Jan 30, 2024 · A right isosceles triangle has one line of symmetry, which passes from the right angle vertex to the midpoint of the hypotenuse. (1 Horizontal and 1 Vertical) Number 9 has no symmetry. Here I have folded a rectangle one way, and it didn't work. "My triangle has only one line of symmetry. May 19, 2025 · There are three main types of triangles that are classified according to the relative lengths of their sides: equilateral, isosceles and scalene. An isosceles triangle has two equal sides and two equal angles. Apr 28, 2022 · It will have 3 lines of symmetry if its an equilateral triangle and only 1 line of symmetry if its an isosceles triangle. This line of symmetry can be thought of as a reflection across itself that takes the isosceles Nov 21, 2024 · Question 1. It has no point symmetry. Line of Symmetry - Isosceles Aug 22, 2021 · Trapeziums have no lines of symmetry unless they are isosceles trapeziums which have 1 line of symmetry. Jul 23, 2025 · The shape would not change if a mirror were put along this line. We will also explore lines of symmetry in alphabets, and lines of symmetry in shapes like Triangle, Rhombus, Parallelogram, Pentagon, etc. Similarly, regular polygon of four sides is called a square. The line of symmetry runs from the vertex opposite the base to the midpoint of the By definition, an isosceles triangle can only have one line of symmetry. Notice how none of the lines of symmetry cut the scalene triangle into two equal halves that are reflections of each other. Proof: Reflection preserves side lengths and angle measure. Draw an obtuse isosceles triangle, and then draw any lines of symmetry if they exist. Mar 15, 2024 · A right-angle triangle has one line of symmetry if it is isosceles and no lines of symmetry if it is scalene. A shape has symmetry if you can fold it so that one side fits exactly on to the other. The line of symmetry runs vertically from the apex (the vertex opposite the base) down to Oct 23, 2025 · Concept: Equilateral triangle has 3 lines of symmetry. The number and presence of these lines vary depending on the shape. A parabola. In an Isosceles triangle, two sides and their included angles are equal in measure. Apr 28, 2022 · A scalene triangle (all sides of different lengths) will have no lines of symmetry, an isosceles triangle (exactly two sides of the same length) will have one line of symmetry, and an equilateral triangle (all three sides of the same length) will have three lines of symmetry. Line of Symmetry The Line of Symmetry (also called the Mirror Line) can be in any direction. Learn about the line of symmetry of an isosceles triangle. This line divides the triangle into two equal halves. e. Apr 28, 2022 · A triangle having each of its three sides of different lengths is a scalene triangle. Step-by-step guide: Isosceles triangles Hint: First of all, draw the diagram of the isosceles triangle. Dec 20, 2020 · Thus, an equilateral triangle has three lines of symmetry, each passing through the midpoint of a side and the opposite vertex. I: Symmetry of Geometrical Figures: We know that a polygon is a closed figure with three or more line segments. This is because a triangle is only said to be an isosceles triangle if it has 2 equal sides. Mar 11, 2025 · Check out our easy-to-follow guide on the line of symmetry featuring simple definitions, visual examples, solved exercises, and a fun quiz to test your skills. Equilateral triangles have three lines of symmetry, while scalene triangles have none. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. Square has 4 lines of symmetry. Parallelogram has zero line of symmetry. Examples of quadrilateral include: Rectangle Square rhombus A line of symmetry is a line that divides a shape such that they become mirror images of each Apr 28, 2022 · A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle. Also, every regular polygon has reflectional symmetry. The unequal side is known as the base and is opposite the unequal angle. An equilateral triangle has a maximum number of reflection symmetry equal to 3. Sep 4, 2014 · An isosceles triangle has exactly one line of symmetry, which runs from the top vertex to the midpoint of the base. A regular hexagon: A regular hexagon has multiple lines of symmetry, which can be drawn through each vertex and the opposite side. It coincides with the angle bisector, the median, the height and the perpendicular bisector drawn from the vertex to the base. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles. Which statements are true about the lines of symmetry of a regular pentagon? Select three options. The order of rotational symmetry is the number of times a shape fits into its original outline when it is rotated a full turn. This is an isosceles triangle. Scalene triangle only Download Solution PDF Share on Whatsapp Apr 28, 2022 · What type of triangle has no lines of symmetry? A scalene triangle. In an isosceles triangle, two sides are equal in length. This equilateral triangle fits into its original outline 3 times and so it has a rotational symmetry order of 3. A May 1, 2024 · An ISOSCELES TRiangle. So this is not a Line of Symmetry But when I try it this way, it does work (the folded part sits perfectly on top, all edges matching): So this is a Line of Symmetry Triangles A Triangle can have 3, or 1 or no lines of symmetry: a. One vertex lies on the line of symmetry and the other two are each other's reflections. Oct 23, 2025 · Concept: Equilateral triangle has 3 lines of symmetry. A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry. It can be drawn by joining the vertex between equal sides and the midpoint of the opposite side. (An equilateral triangle has three lines of symmetry, one through each vertex. Jan 7, 2023 · An isosceles triangle has one line of symmetry, but it has no rotational symmetry, so it is an example of a shape that has different line and rotational symmetry. Mar 4, 2020 · An Isoceles triangle can only be folded once, it has one line of symetry. Assertion :Among a scalene, isosceles and equilateral triangle, the equilateral triangle have maximum lines of symmetry. The correct option is 3 i. May 4, 2016 · A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry. The fold line is the line of symmetry. Jun 19, 2020 · Option C is correct. Similarly, an equilateral triangle has 2-fold reflection symmetry and an isosceles triangle has 1-fold reflection symmetry. Feb 29, 2024 · The triangle with exactly one line of symmetry is the isosceles triangle, which has two equal sides and one unique angle. 3. Scalene triangle only Download Solution PDF Share on Whatsapp Mar 24, 2025 · An equilateral triangle has three lines of symmetry, an isosceles triangle has one line of symmetry, and a scalene triangle has no lines of symmetry. Line of Symmetry in Geometry Shapes 1) How Many line / lines of symmetry in major geometry shapes have ? Answer: Isosceles Triangle has 1 line of symmetry. The line of symmetry is the imaginary line where you could fold the image and have both halves match exactly. ) Equilateral triangles also have rotational symmetries about their centers. Calculation: ∴ The Scalene triangle has no line symmetry. 4 days ago · Here, we will define rotational symmetry, describe the "orders" that rotational symmetry can have, and discuss several interesting examples of rotational symmetry. If Apr 28, 2022 · A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle. Oct 15, 2025 · An isosceles triangle has only one line of symmetry because it has two equal sides and one unequal side. Jul 25, 2021 · Rotational symmetry is when a shape is rotated and it looks exactly the same as before it was rotated. The symmetry of an Isosceles Triangle An isosceles triangle has one line of symmetry which is along the median through the vertex. This line divides the triangle into two equal halves, showcasing its unique property of having two equal sides. Rotational symmetry Here you will learn about rotational symmetry, including rotational symmetry within polygons, angle properties, and symmetry of different line graphs. To learn more about reflection-symmetry, click here! Jul 1, 2023 · An isosceles triangle has one line of symmetry, which runs from the vertex to the midpoint of the base, dividing the triangle into two identical halves. In summary, the number of lines of symmetry in a triangle varies with its type: 3 for equilateral, 1 for isosceles, and 0 for scalene. Thus a square has four lines of symmetry. It also has rotational symmetry for every 180-degree rotation because it can be turned upside down while still appearing the same. "My triangle has three lines of symmetry. This means that a trapezium only has a line of symmetry if both of its diagonal sides are the same length. This line divides the triangle into two mirror-image halves. A regular triangle (aka equilateral triangle) has three lines of symmetry - these are its medians, In general, a regular n-gon has n lines of symmetry. Therefore, every isosceles triangle by definition has 1 line of symmetry. Nov 2, 2022 · What shape with 3 sides has no lines of symmetry? Any triangle that is not isosceles or equilateral. 1 day ago · Question 2: Draw lines of symmetry and mark points of symmetry (i) Equilateral triangle (side 4 cm) An equilateral triangle has 3 lines of symmetry, each passing through a vertex and the midpoint of the opposite side. Therefore, every isosceles triangle by definition has 1 line of symmetry. Point of symmetry: The centroid (intersection of medians). The two equal angles are called base angles and they are opposite the sides of equal length. Pentagon has either zero or five lines of symmetry depending on the type of pentagon. Thus, the correct answer is option A. When an isosceles triangle has exactly two sides of equal length, then it has just 1 line of symmetry that runs from the vertex between the two sides of equal length to the midpoint of the side opposite that vertex. The regular polygons are symmetrical figures and they have as as many lines of Study with Quizlet and memorize flashcards containing terms like Which statement describes the order of rotational symmetry for an isosceles triangle?, Triangle EFG has vertices E (-3, 4), F (-5, -1), and G (1, 1). Line of Symmetry of a Figure: This is an isosceles triangle. An isosceles triangle has exactly one line of symmetry, which runs vertically through the vertex opposite the base and bisects the base in half. Another example can be a heart shape that is symmetrical along a vertical line. Therefore, the correct answer is 'A scalene triangle'. What is it?" Answer: Parallelogram Apr 28, 2022 · A scalene triangle. Isosceles triangles An isosceles triangle has the following properties, Two side lengths are equal. Therefore, an isosceles triangle has exactly one line of symmetry. Rectangle has 2 lines of As shown below, an equilateral triangle has 3 lines of symmetry, an isosceles triangle has 1 line of symmetry, while a scalene triangle has no line of symmetry. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of Feb 21, 2025 · The line of symmetry is the line that divides the triangle into two mirror-image halves. Other examples include irregular quadrilaterals and irregular pentagons. 1. To find the order of symmetry, divide 360° by the Number 8 has 2 lines of symmetry. Reason: For all the given polygons, having the same number of sides and the same number of angles, the regular polygon has maximum lines of symmetry. This line ensures both sides are congruent when folded along it. Mar 9, 2025 · A scalene triangle. Thus, an equilateral triangle is a regular polygon of three sides. . It is easy to design irregular polygons with an odd number of sides that have just one line of symmetry. Apr 28, 2022 · An isosceles triangle has 1 line of symmetry, an equilateral triangle has 3 and a scalene triangle has no lines of symmetry. Draw a right scalene triangle, and then draw any lines of symmetry if they exist. Order of rotational symmetry The order of rotational symmetry of a figure is the number of times you can rotate the figure within 360° such that it looks the same as the original figure. Answer: Eureka Math Grade 4 Module 4 Lesson 14 Homework Answer Key Question 1. Apr 28, 2022 · Isosceles triangle, kite. So, use this concept to reach the solution of the given problem. The line of symmetry is from the angle of the two equal adjacent sides, to the mid-point of the NON-equal side. Nov 7, 2020 · A symmetrical figure has a line of symmetry (or mirror symmetry or reflection symmetry). Therefore, the claim that an isosceles triangle has two lines of symmetry is incorrect. What quadrilateral has one line of symmetry but no rotational symmetry? How many lines of symmetry are there in a square? We will get four such lines in a square that divide the square into similar halves. Sep 23, 2023 · An isosceles triangle has one line of symmetry, which bisects the base. Apr 28, 2022 · A right triangle is either a scalene triangle with no lines of symmetry or an isosceles triangle (where the legs are of equal length) with one line of symmetry which bisects the 90° angle. Commentary The division of triangles into scalene, isosceles, and equilateral can be thought of in terms of lines of symmetry. Scalene triangle has no line symmetry. Jan 20, 2025 · An isosceles triangle has 1 line of symmetry, an equilateral triangle has 3 and a scalene triangle has no lines of symmetry. Answer: Question 3. For all other right triangles, there are zero lines of symmetry. Visual Inspection: Carefully examine each triangle and try to identify any lines that would divide the triangle into two identical halves. Many more functions that are more complex - cardioid, for example. The reflection in this lake also has symmetry, but in this case: the Line of Symmetry runs left-to-right it is not perfect symmetry, because the image is changed a little by the lake surface. Every line is perpendicular to a side. Apr 9, 2019 · An isosceles triangle is a great example, as it has one line of symmetry. Equilateral triangles – An equilateral triangle has three lines of symmetry, which are the lines that bisect each angle and the opposite side. Check for a line of symmetry to confirm if a figure has this type of symmetry. Feb 8, 2025 · Equilateral triangles have three lines of symmetry, isosceles triangles have one line of symmetry, and scalene triangles have zero lines of symmetry. Geometric shapes can have one or more lines of symmetry. An equilateral triangle has 3 lines of symmetry, while an isosceles triangle has only one, and any other triangle (non-isosceles right triangle, or scalene triangle) has zero. B. Every triangle has at least ____ acute angles. If all the angles of the triangle are less than 90 degrees (acute), then the center of the circumscribing circle will lie inside a triangle. Aug 3, 2023 · Likewise, X and H have 2-fold reflection symmetry, and the club shape has 1-fold reflection symmetry. In an equilateral triangle, all sides have the same length. Figures like isosceles triangles, rectangles, and squares have reflection symmetry, while scalene triangles and irregular shapes do not. A polygon is called regular if all of its sides and angles are equal. Isosceles triangle has 1 line of symmetry. A space figure, such as a wheel, has rotational symmetry if the shape of the figure moves onto itself when rotated less than a full turn around a line. 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