are lines of symmetry also diagonals in a polygon?
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The diagonal of a parallelogram also divides the figure into two triangles that are congruent. But the diagonal line is NOT a line of symmetry. ... In regular polygons (where all sides are congruent and all angles are congruent), the number of lines of symmetry equals the number of sides.
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If your polygon is required to have straight sides, and be planar, then there is no two sided polygon. However, if you relax that a bit, then you can have such a thing and it is called a digon. For example, a circle with two distinguished points is a digon.
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Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply. Every line bisects a vertex angle. Every line bisects a side.
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The W and Y have one line of symmetry. The X has two lines of symmetry.
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A diagonal is a straight line that connects one corner of a rectangle to the opposite corner. ... If you know side lengths of the rectangle, you can easily find the length of the diagonal using the Pythagorean Theorem, since a diagonal divides a rectangle into two right triangles.
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In any polygon if the all sides and all angles are equal then it is called regular polygon. IN rhombus all sides are equal but angles are not equal in all cases. ... so all rhombuses are not regular polygon only one rhombus (square) is a regular polygon.
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Opposite sides are parallel to each other. The diagonals are congruent. The diagonals are perpendicular to and bisect each other. ... Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other.
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A regular polygon must be both equiangular (all angle measures are the same) and equilateral (all side lengths are the same). A rhombus meets one of the requirements: it is equilateral. But, all of a rhombus's angles are not the same. It is not equiangular, so it is not a regular polygon.
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A trapezoid has one pair of parallel sides. A regular polygon has congruent sides and angles. A pentagon can not be an irregular polygon.
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The diagonals of a parallelogram are not of equal length. They bisect with each other at the point of intersection with equal sides across the point of intersection. This can be proved using the ASA criterion as well. When we divide the parallelogram through two diagonals, we see that four triangles are formed.
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A regular polygon is a polygon where all of the sides and angles are the same. Therefore, a square is a regular polygon with four sides and a rectangle is not. ... It has all the same sides and the same angles. An isosceles triangle has two equal sides and two equal angles.
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Opposite sides are equal in length. The two diagonals are equal in length. It has two lines of reflectional symmetry and rotational symmetry of order 2 (through 180°).
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5 diagonal endpoints There are 280 such triangles in the figure at left. For each of the N vertices of the polygon, there are four other diagonal endpoints which can be placed on the N-1 remaining locations. Thus there are triangles formed. This is equal to .
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The first way to prove that the diagonals of a rectangle are congruent is to show that triangle ABC is congruent to triangle DCB. Since ABCD is a rectangle, it is also a parallelogram. Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.
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The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular. The consecutive angles of a parallelogram are never complementary.
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Answer and Explanation: The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.
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No, not all polygons are quadrilaterals. However, all quadrilaterals are polygons. By definition, a quadrilateral is a two-dimensional shape with...