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d) 61 sq. units
GEOMETRY Final Review #2
13
1. The area of the triangle is
a) 25 sq. units
b) 35 sq. units
c) 45 sq. units
d) 50 sq. units
10
22
7
9
5
10
2. The length of the side "x" is
a) 3
b) 3
c) 45
6
6. Based on the markings shown, which of these is a true
statement ?
ABC  XYZ by AAA
b)
ABC
 YXZ by AAS
c)
ABC 
ZXY by SAS
d)
ABC  XYZ by ASA
2
7. x = ?
a) 8
b) 41
c) 68
d) 52
41
d)
X+24
3. The area of the rectangle is
a) 30 sq. units
b) 32 sq. units
c) 60 sq. units
d) 16 sq. units
2X
8. In the figure at the figure below how would you prove
that the two triangles are congruent ?
10
6
a)
ASA
b) HL
c) HA
d) SSS
4. Find the area for the following
a) 12 sq. units
b) 12x sq. units
c) 17xy sq. units
d) 12xy sq. units
3x
2y
x
For problems 9 - 11 use the diagram.
3y
A
E
65
45
NAME:___________________________________
B
5. What is the area of the shape?
a) 164 sq. units
b) 41 sq. units
c) 328 sq. units
9. m ACB = ?
10. m ACD = ?
C
a) 70
a) 65
b) 45
b) 110
D
c) 110
c) 115
d) 65
d) 45
a)
11. m  CAE = ?
a) 45
b) 110
c) 70
ASA
b) AAS
c) HL
d) not congruent
d) 135
Y
12. x = ?
a) 114
b) 167
c) 53
d) 66
13. x = ?
a) 32
b) 148
c) 122
d) 58
X
W
Z
122
19. In the parallelogram below how could you prove that
triangle WYZ is congruent to triangle ZXW?
a) ASA
b) ASS
X
c) SSS
d) AAA
W
x
14. Two sides of a triangle are 3 and 8. What is the
range of possible values for the length of side "x"
a)
c)
x = square root of 73
b) 3 < x < 8
5 < x < 11
d) x = 22
15. The transformation shown is an example of a:
a) translation
c) isometric
Z
20. If triangle DOG is congruent to triangle CAT then
which of the following is true?
a)
c)
b) 50
b) DO = AT
d) DG = CT
(3,6)
b) (2,7)
c) (4,5)
d) (2,3)
For problems 22 - 33 choose the appropriate description
to match the given picture.
16. Solve for A.
40
DG = CA
GO = AC
21. Find the midpoint of the segment connecting the points
(1,3) and (5,9).
b) rotation
d) reflection
a)
a)
Y
c) 60
d) 70
22. a) adjacent angles
c) complementary angles
b) supplementary angles
d) vertical angle
120
A
17. How would you prove that the triangles are congruent?
a) HL b) ASA c) SSS d) SAS
23. a) perpendicular lines
c) alternate interior angles
24. a) right triangle
c) isosceles triangle
18. In the figure below you could prove that triangle ZYX
congruent to triangle XWZ by
b) corresponding angles
d) vertical angles
b) scalene triangle
d) equilateral triangle
25. a) complementary angles b) obtuse angle
c) corresponding angles d) supplementary angles
26. a) straight angle
c) right angle
33. a) isosceles triangle b) scalene triangle
c) equilateral triangle d) obtuse triangle
b) exterior angle
d) acute angle
34. Adjacent angles:
a) are complementary
b) share common interior points
c) are supplementary
d) share a common side
this angle
27. a) isosceles triangle
c) pyramid
b) prism
d) tetrahedron
35. Find the area of the isosceles triangle.
5
6
28. a) isosceles triangle
c) prism
b) scalene triangle
d) right triangle
a)
36. If
29. a) straight angle
c) obtuse angle
b) acute angle
d) complementary angle
30
b) 12
OGD
a) THA
c) 15
d) 24
 HAT then DOG 
b) TAH c) OGD
d) GDO
37. What is the length of the third side of a triangle whose
other two sides are 5 and 13?
30. a) complementary angles
c) corresponding angles
b) alternate interior angles
d) supplementary angles
a)
c)
5 < x < 13
8 < x < 13
b) 5 < x < 18
d) 8 < x < 18
38. Find the measure of x
This angle
This angle
31. a) parallel lines
c) acute angle
a) 23.5
b) 37
c) 40
d) 46
60
b) straight angle
d) perpendicular lines
2X
X
39. Find the perimeter
32. a) scalene angles
c) alternate interior angles
b) corresponding angles
d) exterior angles
This angle
a)
b)
c)
d)
4
12
6
15
5
This angle
3
40. Solve for x
d) If the corresponding angles are congruent then the
two line are parallel
3x - 11 2x + 5
a)
40.75
b) 16
c) 49
d) 37.2
41. Triangle ABC is congruent to triangle RPX
Solve for x
X
A
9
C
6
B
8
2x + 1
R
a) 2.5
b) 3.5
c) 4
P
d) 180
42. Find the shaded area
2
3
15
18
a)
264
b) 129
c) 160
d) 147
43. Find the area
a) 104
b) 52
c) 128
d) 64
13
16
8
44. Write the converse of the statement “If two lines are
parallel then the corresponding angles are congruent”
a)
If two lines are parallel then the alternate interior
angles are congruent.
b) It two lines are parallel then the interior angles on
the same side of the transversal are congruent.
c) If the alternate interior angles are congruent then the
line are parallel
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