are parallelogram  angles equal
Rectangles, rhombuses, and squares are all parallelograms. As shown in the picture on the right, because triangles ABE and CDE are congruent (have the same shape and size), In all Parallelogram's opposite angles are equal to each other. Angles which are not opposite in the Parallelogram will add up to 180 degrees. A parallelogram is a polygon with four sides (a quadrilateral). It has two pairs of parallel sides (sides which never meet) and four edges. The opposite sides of a parallelogram have the same length (they are equally long). The word parallelogram comes from the Greek word parallelogrammon (bounded by parallel lines). Conjecture (Parallelogram Conjecture I): Opposite angles in a parallelogram are congruent. Conjecture (Parallelogram Conjecture II): Adjacent angles in a parallelogram are supplementary. Conjecture (Parallelogram Conjecture III): Opposite sides of a parallelogram are equal in length. Conjecture (Parallelogram Conjecture IV): The diagonals of a parallelogram are bisected by the point of their intersection. Other Quadrilaterals Irregular quadrilateralsNo specifications Kite Two pairs of adjacent sides are equal in length One pair of opposite angles (the ones that are between the sides of unequal length) are equal in size. One diagonal bisects the other. Diagonals intersect at right angles. 1 One pair of opposite sides are parallel and equal in length. 2  Adjacent angles are supplementary. 3  Each diagonal divides the quadrilateral into two congruent triangles. 4  The sum of the squares of the sides equals the sum of the squares of the diagonals. Explanation: What can be said about the adjacent angles of a parallelogram. Again the parallel line conjectures and linear pairs conjecture can help us. The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary. One special kind of polygons is called a parallelogram. It is a quadrilateral where both pairs of opposite sides are parallel. There are six important properties of parallelograms to know: 1  Opposite sides are congruent (AB = DC). 2  Opposite angels are congruent (D = B). 3  Consecutive angles are supplementary (A + D = 180°). 4  If one angle is right, then all angles are right. 5  The diagonals of a parallelogram bisect each other. Two pairs of. adjacent sides. are equal in length. One pair of. opposite angles. (the ones that are between the sides of unequal length) are equal in size. One diagonal. bisects. the other. Diagonals intersect at right angles. Pairs – Answer #1. A quadrilateral has four sides of equal length and the diagonals are not congruent. Each side is 5 cm in length and the distance between parallel sides is 7 cm. Determine what type of quadrilateral this is and use the corresponding formula to find the area. A. 12 cm². B. 35 cm². C. 25 cm². D. 20 cm². 1 Two pairs of adjacent sides of a kite are equal in length. 2  One pair of opposite angles (the ones that are between the sides of unequal length) are equal in size. 3  One diagonal bisects the other. 4  Diagonals intersect at right angles.
Yes