Unit 5 - Quadrilaterals Review

Rhombi

100

How many congruent sides does a rhombus have?

4 congruent sides

200

In a rhombus, the diagonals intersect at right angles. If one angle formed is 90 degrees, what is the measure of the other three angles at the intersection?

90 degrees

300

In rhombus ABCD, diagonal AC = 24. What is the length of AE if E is the intersection of the diagonals?

12

400

In rhombus ABCD, E is the intersection of the diagonals. 

If AE = 5 and BE = 12, what is the length of AB?

13

500

In rhombus PQRS, angle P = 4x - 10 and angle Q = 2x + 20. What is the value of 'x'? (Hint: supplementary angles).

15

Kites

100

TRUE OR FALSE: The diagonals of a kite are perpendicular.

True

200

TRUE OR FALSE: Consecutive angles of a kite are congruent to each other.

False. One pair of opposite angles are congruent.

300

In kite ABCD, AB = AD and BC = CD. If AB = 7x - 2 and AD = 5x + 6, what is the value of 'x'?

4

400

In a kite, one diagonal measures 18 and is bisected by the other. What is the length of each half?

9

500

In kite WXYZ, angle X and angle Z are opposite angles. If angle W = 120 degrees and angle Y = 30 degrees, what is the measure of angle X?

105 degrees

Trapezoids

100

What are the two terms we use to describe the sides of a trapezoid?

Base and legs

200

In an isosceles trapezoid, what can you say about the base angles?

They are congruent

300

The bases of a trapezoid measure 12 and 20. Find the length of the midsegment.

16

400

In trapezoid ABCD, the midsegment MN = 25 and one base is 18. Find the other base.

32

500

Trapezoid PQRS has the following coordinates: P(0,3), Q(3,1), R(4,-3), and S(-2,1). What is the length of the midsegment? (Hint: Use midpoint and distance).

5.4

Rectangles

100

TRUE OR FALSE: A rectangle is always a square.

False. A rectangle doesn't have all sides congruent to one another.

200

What can you say about the diagonals of a rectangle?

They are congruent

300

In rectangle ABCD, diagonal AC = 26. What is the length of diagonal AD?

26

400

Rectangle ABCD has side lengths 10 and 24. What is the length of the diagonal?

26

500

In rectangle PQRS, angle P = 3x + 15. What is the value of 'x'?

25

Sum(s)

100

What is the sum of a dodecagon?

1800 degrees

200

The interior angles on a pentagon are 90, 90, 2x-20, 2x+10, and x. Find the value of 'x'.

74

300

The measure of an interior angle of a regular polygon is 108 degrees. Find the number of sides in the polygon.

5 sides

400

The measure of an interior angle of a regular polygon is 120 degrees. Find the number of sides in the polygon.

6 sides

500

The exterior angles on a hexagon are x, 2x, x+10, x+18, 3x, and x-1. Find the value of 'x'.

37