Geometry CPE
Name: ____________________________
Review for Quadrilaterals Test
I. Answer each of the following.
1. Find all angles for parallelogram ABCD if 𝑚∠𝐵𝐶𝐸 = 32°, 𝑚∠𝐵𝐴𝐸 = 48°,
and 𝑚∠𝐵𝐷𝐴 = 25°.
B
C
E
A
D
2. Given parallelogram ABCD, if 𝑚∠𝐴 = 3𝑥 − 5 and 𝑚∠𝐵 = 4𝑥 + 10, find 𝑚∠𝐷.
B
C
A
D
3. Find all angles for rectangle ABCD if 𝑚∠𝐵𝐸𝐶 = 122°.
C
B
E
D
A
4. Given rectangle ABCD, if 𝑚∠𝐸𝐵𝐶 = 3𝑥 − 5 and 𝑚∠𝐸𝐵𝐴 = 4𝑥 − 10, find 𝑚∠𝐶𝐸𝐷.
C
B
E
A
D
5. Find all angles for rhombus ABCD if 𝑚∠𝐵𝐶𝐷 = 54°.
B
C
E
D
A
6. Given rhombus ABCD, if 𝐴𝐵 = 3𝑥– 13 and 𝐵𝐶 = 𝑥 + 17, find AD.
B
C
D
A
7. Find all angles of square ABCD.
B
C
E
D
A
8. Given square ABCD, find x if 𝑚∠𝐶𝐸𝐷 = 4𝑥 + 10.
B
C
E
A
D
9. Given trapezoid ABCD, find all possible angles if 𝑚∠𝐴 = 47°.
C
B
D
A
10. Given isosceles trapezoid ABCD, find all possible angles if 𝑚∠𝐴 = 47°.
C
B
D
A
11. Given trapezoid ABCD with mid-segment EF, find x if 𝐴𝐷 = 4𝑥 + 4,
𝐸𝐹 = 3𝑥 + 3, and 𝐵𝐶 = 12.
C
B
F
E
D
A
12. Given kite ABCD, find all angles if 𝑚∠𝐴 = 80° and 𝑚∠𝐷 = 45°.
B
A
C
D
13. Given kite ABCD, find all angles if 𝑚∠𝐵𝐶𝐸 = 42° and 𝑚∠𝐶𝐴𝐷 = 65°.
B
A
E
C
D
14. State the type of quadrilateral given A(–4,5 ), B(6, 0), C(3, –6), and
D(–7, –1). Be specific.
II. True/False
1. All rectangles are parallelograms.
2. All parallelograms are rectangles
3. Diagonals of a square are perpendicular.
4. Diagonals of a rectangle are congruent.
5. Diagonals of a trapezoid are congruent.
6. Diagonals of a kite are perpendicular.
7. Diagonals of a rectangle bisect opposite angles.
8. Consecutive angles of a rhombus are supplementary.