Module 7 Benchmark Review

A(n) __________ of a polygon is a segment that connects any two nonconsecutive vertices.

A(n) __________ is a quadrilateral with both pairs of opposite sides parallel.

Use the figure. What is the value of x?

Which measurements will ensure that PQRS is a parallelogram?

• PS = 10

• m ∠ Q = 105 degrees

• PS = 5

• m ∠ Q = 75 degrees

Quadrilateral WXYZ is a rectangle. If m∠XYZ = 27°, then m∠XYZ = _______.

The figure is a rectangle. If m∠10 = 45°, then find the following angle measures:

1) m < 11

2) m < 4

3) m < 9

• 1) m < 11 = 45

  2) m < 4 = 135

  3) m < 9 = 135

• 1) m < 11 = 65

  2) m < 4 = 43

  3) m < 9 = 90

• 1) m < 11 = 90

  2) m < 4 = 135

  3) m < 9 = 45

• 1) m < 11 = 135

  2) m < 4 = 135

  3) m < 9 = 45

If the figure is a rhombus, find m < 4.

If a regular polygon has ten sides, then each interior angle of the polygon measures _______ and each exterior angle measures _______.

Quadrilateral PQRS is a parallelogram. If m∠P = 72°, then m∠Q = _______ and m∠R = _______.

Select all of the conditions that prove that a quadrilateral is a rectangle.

• Both pairs of opposite sides are congruent.

• One pair of opposite sides is longer than the other pair of sides.

• The diagonals bisect each other.

• The diagonals are congruent.

• The diagonals are perpendicular.