quIz 7-2

Which quadrilaterals always have opposite angles that are congruent?

Multiple answers. Check all that apply.

• Parallelograms
• Rectangles
• Rhombi
• Squares

Which quadrilaterals always have diagonals that bisect opposite angles?

Multiple answers. Check all that apply.

• Parallelograms

• Rectangles

• Rhombi
• Squares

If ABCD is a parallelogram, AD = 14, EC = 11, m∠ABC = 64°, m∠DAC = 71°, and m∠BDC = 25°, find each measure.

• 14

• BC = ______
• 116

• AC = ______
• 25

• m∠ABD = ______
• 22

• m∠ACD = ______
• 45

• m∠DAB = ______

If PQRS is a rectangle, ST = 12, and m∠PRS = 23°, find each measure.

• 67

• PR = ______
• 90

• m∠QPR = ______
• 24

• SQ = ______
• 23

• m∠SQR = ______
• 24

• m∠PSR = ______

If JKLM is a rhombus, MK = 30, NL = 13, and m∠MKL = 41°, find each measure.

• 26

• m∠JML = ______

• 19.8

• KL = ______
• 82

• m∠JKM = ______
• 15

• JL = ______
• 41

• NK = ______

If WXYZ is a square with WZ = 27, find each measure.

• 19.1

• m∠XYZ = ______
• 38.2

• RX = ______
• 90

• m∠WRZ = ______
• 90

• WY = ______
• 27

• ZY = ______

If CDEF is a parallelogram, find m∠FCD.

• 112

• 115

• 117

• A and B only

If JKLM is a rectangle, JL = 2x + 5, and MK = 7x - 40, find MK.

If PQRS is a rhombus, find m∠PQR.

• 82

• 18

• 28

• 81

Quadrilateral BCDE has vertices B(-1, -1), C(6, -2), D(5, -9), and E(-2, -8). Determine the most precise classification of BCDE: a parallelogram, rectangle, rhombus, or square. Use the distance formula to justify your answer.

• PARALLELOGRAM

• RECTANGLE

• RHOMBUS

• SQUARE