![]() ![]() Thus, we can say that quadrilateral WXYZ is a parallelogram since it has opposite sides that are parallel and congruent to each other. Solution for Given parallelogram ABCD, diagonals AC and BD intersect at point E. ![]() Therefore, diagonals WY and XZ bisect each other at point O, which also happens to be the midpoint of both diagonals AC and BD. ![]() ![]() From the above, we see that W O = XO and Y O = ZO. Complete each statement along with the definition or property used. Base b Given Perimeter Base b Given Area Side a Angle Angle. In parallelogram Opposite sides are equal Opposite angles are equal Diagonals bisect each other Sum of adjacent angles is 180 In parallelogram, Opposite sides are equal AD BC Ex 3.3, 1 Given a parallelogram ABCD. So, by definition of midpoint, we get that Calculate sides, angles of an parallelogram step-by-step. Question Solve the following : In parallelogram A B C D, find B, C and D. Google Classroom Consider this diagram of quadrilateral A B C D, which is not drawn to scale. REF: 080731b 7 ANS: Parallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given). In parallelogram Opposite sides are equal Opposite angles are equal Diagonals bisect each other Sum of adjacent angles is 180° In parallelogram, Opposite angles are equal DCB BAD Ex 3.3, 1 Given a parallelogram ABCD. It is also given that W, X, Y, and Z are midpoints of segments AO\limits^ respectively. ID: A 2 6 ANS: Because diagonals NR and BO bisect each other, NX RX and BX OX.BXN and OXR are congruent vertical angles. Therefore, diagonals AC and BD intersect each other at point O, the midpoint of both diagonals. Ex 9.2, 2 If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that ar (EFGH) 1/2 ar (ABCD) Given: A parallelogram ABCD where. Ex 8.1, 10 ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD. Given that ABCD is a parallelogram, and in parallelogram both diagonals bisect each other. To prove that quadrilateral WXYZ is a parallelogram, it is given that parallelogram ABCD has midpoints W, X, Y, and Z of segments AO, BO, CO, and DO respectively. Solution for Given parallelogram ABCD, diagonals AC and BD intersect at point E. ![]()
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