Download Chapter 6 Review

NAME
6
DATE
PERIOD
SCORE
Chapter 6 Review
Write the letter for the correct answer in the blank at the right of each question.
1. Find the sum of the measures of the interior angles of a convex 45-gon.
A 8100
B 7740
C 360
D 172
2. Find the value of x.
F 30
G 66
H 102
J 138
x°
1.
(x – 20)°
2.
(2x + 10)°
3. Find the sum of the measures of the exterior angles of a convex 39-gon.
A 39
B 90
C 180
D 360
3.
4. Which of the following is a property of all parallelograms?
F Each pair of opposite sides is congruent.
G Only one pair of opposite angles is congruent.
H Each pair of opposite angles is supplementary.
J There are four right angles.
4.
5. For parallelogram ABCD, find m∠1.
A 60
B 54
B
1
C 36
D 18
A
36°
6. ABCD is a parallelogram with diagonals intersecting at E. If AE = 3x + 12
and EC = 27, find the value of x.
H 27
F 5
G 17
J 47
7. Find m  PRS in square PQRS.
A 30
B 45
C 60
D 90
8. Find the value of x so that this quadrilateral
is a parallelogram.
F 12
G 24
C
120°
Q
R
P
S
D
5.
6.
7.
(2x + 60)°
H 36
J 132
(4x – 12)°
8.
D square
9.
9. Which quadrilateral always has congruent adjacent sides?
A rectangle
B parallelogram
C trapezoid
10. ABCD is a rectangle. If AC = 5x + 2 and BD = x + 22, find the value of x.
F 5
G 6
H 11
J 26
10.
11. Which of the following is true for all rectangles?
A The diagonals are perpendicular.
B The diagonals bisect the angles.
C The consecutive sides are congruent.
D The consecutive sides are perpendicular.
11.
Chapter 6
Glencoe Geometry
Assessment
(x + 40)°
NAME
6
DATE
PERIOD
Chapter 6 Review
12. Which of the following is a property of all rhombi?
F diagonals are 
G diagonals are 
13. For rhombus GHJK, find m∠1.
A 22
B 44
H exactly 1 pair of parallel sides
G
C 68
D 90
14. The diagonals of square ABCD intersect at E. If AE = 2x + 6 and
BD = 6x – 10, find AC.
F 11
G 28
H 56
H
1
22°
K
12.
13.
J
J 90
14.
15. If the measure of each interior angle of a regular polygon is 120, find the measure of the
exterior angle.
D 30
A 90
B 120
C 60
15.
16. For isosceles trapezoid MNOP, which angles are base angles?
F MNP , PNQ
H ONM , NMP
G NOP , ONM
J ONP , MPN
16.
N
O
M
P
17. The length of one base of a trapezoid is 44 inches, the length of the
midsegment is 36 inches, and the other base is 2x + 10. Find the value of x.
A 9
B 17
C 21
D 40
17.
18. Find the values of x and y so that the quadrilateral is a parallelogram.
H x = 13, y = 60
J x = 13, y = 40
F x = 27, y = 60
G x = 27 , y = 40
(4x – 4)°
°
(2y – 60)°
18.
(3x + 23)°
19. For kite PQRS, find m∠S.
A 248
B 68
Q
C 112
D 124
P
F 65
G 115
19.
S
20. In trapezoid DEFG, find m D
H 125
J 25
R
22°
E
D
155°
F
65°
G
20.
Chapter 6
Glencoe Geometry