Geometry Quiz Quadrilaterals

A quadrilateral has one 65° angle and two adjacent angles that measure 120° and 125° respectively. This quadrilateral is not a parallelogram because it

• has an adjacent pair of supplementary angles.

• does not have congruent opposite angles.

What must m∠BCD be for ΔBCD to be a parallelogram?

• 12

• 57

• 123

• not enough information

What must the values of x and y be for ΔBCD to be a parallelogram?

x = ______ y = ______

The diagonals of parallelogram WXYZ intersect at D. Select all the statements that must be true.

• XD ≅ YD

• XD ≅ ZD

• WXZ ≅ YZX

• XZ ≅ WY

• XDY ≅ WZD

Given trapezoid ΔBCD, in order to prove that there are two distinct pairs of supplementary angles, what additional segments or points will you need?

• both diagonals

• one diagonal

• the midpoints of each side

• none of the above

The diagonals of quadrilateral JKLM intersect at A. If KZ ≅ JM, JK ≅ LM, KA ≅ MA, and KM ⊥ JL, what is the most specific quadrilateral that JKLM can be?

• kite

• parallelogram

• rectangle

• rhombus

Select all the statements that are true about rectangles.

• Opposite angles are complementary.

• Opposite sides are always congruent.

• Opposite angles are supplementary.

• Adjacent sides are always congruent.

• Opposite angles are congruent.

Use Parallelogram JKLM for this question. What is m∠LJM?

• A) 56°

• B) 72°

• C) 25°

• D) 99°

Use Parallelogram JKLM for this question. If KR = x + 7, KM = 3x – 5, and JL = 4x – 10, what are the values of x and JR?

Use Quadrilateral ABCD for this question. What is m∠ABC?

• A) 71°

• B) 106°

• C) 109°

• D) not enough information