Geometry Concepts Chapter 8 REVIEW
Geometry Concepts Chapter 8 REVIEW
Geometry Concepts Chapter 8 REVIEW
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Name:_______________________________ Period ______ Date _________________<br />
<strong>Geometry</strong> <strong>Concepts</strong><br />
<strong>Chapter</strong> 8 <strong>REVIEW</strong><br />
For Questions 1–2, refer to the figure at the right. Choose the correct answer by circling it.<br />
1. Which is a pair of nonconsecutive angles of quadrilateral ABCD?<br />
A. ∠ A and ∠ B B. ∠ B and ∠ D<br />
C. ∠ C and _ ∠ D D. ∠ A and ∠ D<br />
A<br />
B<br />
2. Which segment is a diagonal of quadrilateral ABCD?<br />
A. AB B. BC<br />
C. DA D. AC<br />
D<br />
C<br />
For Question 3, refer to the figure at the right. EFGH is a quadrilateral.<br />
3. Find the value of x. SHOW WORK!<br />
E<br />
x°<br />
x = ____________<br />
G<br />
4. Find the measure of ∠ G in quadrilateral EFGH if m ∠ E = 75,<br />
m ∠ F = x + 6, m ∠ G = 2x - 4, and m ∠ H = 145.<br />
SHOW WORK!<br />
Draw a picture and label it HERE!<br />
H<br />
82°<br />
105°<br />
114°<br />
F<br />
m ∠ G = _____________<br />
For Questions 5-7, choose the correct answer by circling it.<br />
5. One way to prove that a quadrilateral is a parallelogram is to show that<br />
A. both pairs of opposite angles are congruent. B. it has one pair of congruent sides.<br />
C. the diagonals are congruent. D. it has one pair of parallel sides.
Name:_______________________________ Period ______ Date _________________<br />
6. The diagonals are always perpendicular to each other in a<br />
A. rectangle. B. parallelogram.<br />
C. trapezoid. D. rhombus.<br />
7. A square is not a<br />
A. trapezoid. B. parallelogram.<br />
C. rhombus. D. rectangle<br />
For Questions 8–12, refer to the figure at the right. Quadrilateral JKLM is a parallelogram.<br />
8. Find LM and KL.<br />
J<br />
40m<br />
K<br />
LM = _____________<br />
36m<br />
A<br />
KL = _____________<br />
9. Find m ∠ KJM. SHOW WORK!<br />
M<br />
56° 69°<br />
L<br />
m ∠ KJM = _______________<br />
10. Find m ∠ JKL. SHOW WORK!<br />
m ∠ JKL = ______________<br />
11. Suppose AM = 31. What is KM? SHOW WORK!<br />
KM = ________________<br />
12. Diagonal JL separates the parallelogram into two congruent triangles. Write a congruence<br />
statement for the two triangles.<br />
∆ ____________<br />
≅ ∆ ____________
Name:_______________________________ Period ______ Date _________________<br />
For Questions 13–14, refer to the figure at the right. Quadrilateral RSTU is a square.<br />
13. If SU = 28, find RV. SHOW WORK!<br />
U<br />
T<br />
RV = ______________<br />
V<br />
14. Find m ∠ RVS.<br />
m ∠ RVS = ______________<br />
R<br />
S<br />
For Question 15, refer to the figure at the right. Quadrilateral RSTU is a rhombus.<br />
15. Given that WX = 21 feet and m ∠ ZWX = 62. Determine<br />
the measures of the other 3 sides and the other 3 angles.<br />
SHOW WORK!<br />
W<br />
X<br />
V<br />
Z<br />
SIDES:<br />
WZ = ________ XY = ________ YZ = ________<br />
ANGLES: m ∠ WXY = ________ m ∠ XYZ = ________ m ∠ YZW = ________<br />
Y<br />
For Questions 16-17, refer to the figure at the right. Quadrilateral RSTU is a rectangle.<br />
16. Find the value of x if XV = 18 and UW = 2x + 6.<br />
SHOW WORK!<br />
x = _______________<br />
U<br />
V<br />
17. If m∠XUR = 68, find the measures of the<br />
other angles listed below.<br />
SHOW WORK!<br />
X<br />
R<br />
W<br />
m∠UWX = _______________ m∠UXR = _______________ m∠URV = _______________
Name:_______________________________ Period ______ Date _________________<br />
For Question 18, refer to the figure at the right. Quadrilateral EFGH is an isosceles trapezoid.<br />
18. If AB is the median, find the values of w, x, y, and z.<br />
SHOW WORK!<br />
A<br />
E<br />
115°<br />
21 in.<br />
w<br />
x°<br />
F<br />
B<br />
w = _____________<br />
H<br />
y° z°<br />
37 in.<br />
G<br />
x = _____________ y = ______________ z = ______________<br />
For Question 19, refer to the figure at the right. Quadrilateral EFGH is an isosceles trapezoid.<br />
19. If AB is the median, find the length of the segments<br />
below.<br />
SHOW WORK!<br />
H<br />
10 in.<br />
18 in. G<br />
A<br />
15 in.<br />
B<br />
EF = _________________<br />
E<br />
F<br />
AE = __________<br />
GF = __________<br />
20. Fill in the correct names of the figures in the following diagram.<br />
Any four-sided figure<br />
____________________<br />
Two pair of parallel sides<br />
____________________<br />
One pair of parallel sides<br />
____________________<br />
Four right angles<br />
_______________<br />
Four congruent sides<br />
_______________<br />
Congruent sides and angles<br />
____________________<br />
Congruent legs and base angles<br />
_______________ ______________