Geometry Quadrilaterals Review

MNPQ is a Rhombus. Find m∠Q.

DEFC is a kite. If m∠DCF = 34 and m∠DEF = 90, find m∠CDE.

NPQM is a trapezoid where X and Y are midpoints of the sides.

If NP = 13 and MQ = 18, find XY.

If CDEF is a trapezoid with vertices C(0, 2), D(2, 4), E(7, 3), and F(1, –3), how can you prove that it is an isosceles trapezoid? Select all that apply.

• Prove that the bases are parallel

• Prove that the two legs are congruent

• Prove that the diagonals are congruent

• Prove that the top base is smaller than the bottom base.

Given parallelogram ABCD with C(5, 4), find the coordinates of A if the diagonals 𝐴𝐶 and 𝐵𝐷 intersect at (2, 7).

• (-1,10)

• (8,1)

• (10,-1)

• (1,8)

MULTIPLE CHOICE Find m∠1 in parallelogram ABCD.

• 64

• 58

• 46

• 36

Determine whether this quadrilateral is a parallelogram. Justify your answer.

• Not a parallelogram

• Parallelogram by Theorem 6.9

• Parallelogram by Theorem 6.11

• Parallelogram by Theorem 6.12

The slope of 𝐴𝐵 and 𝐶𝐷 is 3/5 and the slope of 𝐵𝐶 and 𝐴𝐷 is − 5/3 . ABCD is a parallelogram.

• TRUE

• FALSE

Refer to parallelogram ABCD. If AB = 8 cm, what is the perimeter of the parallelogram?

RSTV is a rhombus. Which of the following statements is NOT true?