Download Geometry Final Exam Name

Geometry Review
Name __________________________
Part I. Complete each statement with the word that makes the statement true.
1. If two triangles are similar, then the perimeters are ________ to the measures of the corresponding sides.
2. If DOG ~ CAT , then
?
AC

.
DG TC
3. The measure of the central angle is __________ to the measure of the inscribed angle.
4. An angle inscribed in a semicircle is always a __________ angle.
5. A tangent to a circle is __________ to a radius drawn to the point of tangency.
6. A line that intersects a circle in two points is a __________.
7. The measure of a major arc is ____________ 180.
8. If the angles of 2 polygons with the same number of sides are proportional, then the polygons are _____.
9. If two circles are congruent, then their diameters are ___________.
10. If a parallelogram is a rectangle, then the diagonals are ___________.
11. All squares are __________.
12. An isosceles trapezoid has congruent ___________.
13. A trapezoid is always/sometimes/never a parallelogram.
14. A square is always/sometimes/never a rhombus.
15. A rectangle is always/sometimes/never a rhombus.
Fill in the blank. Read and answer each question.
16. In a 45-45-90 triangle, if the length of the hypotenuse is 6 2 , the length of the leg is _____.
17. In a 30-60-90 triangle, if the length of the hypotenuse is 18, the length of the longest leg is _____.
18. In a 45-45-90 triangle, if the length of the hypotenuse is 10, the length of the leg is ______.
19. In a 30-60-90 triangle, if the length of the longest leg is 15, the length of the hypotenuse is ______.
For use with #20 – 23.
C
A
D
B
20. If AD = 5 and DB = 15, find CD.
21. If AC = 18 and AD = 6, find AB.
22. If AD = 6 and DB = 12, find BC.
23. If AB = 12 and BC = 8, find DB.
In #24 – 26, RSTU is a rectangle.
R
S
1
24. If m1  68 , find m2 .
2
U
T
25. If RS = 24, UT = x + 6, RU = y + 3, and ST = 36, find the values of x and y.
26. If ABCD is a parallelogram with mA  5x  15 and mB  7 x  3 , find mA.
27. A trapezoid with a height of 6 ft has bases 18 and 10 ft. Find the length of the median of the trapezoid.
WRST is a parallelogram.
W
28. If WT = 12, find the length of RS.
X
29. If mWTS  87 , find the measure of TSR .
30. If WX = 8, find the length of WS.
31. If WX  5x  1 and XS  3x  15 , find WS.
T
R
S
ABCD is a rhombus.
A
B
32. If mDBA  52 , find the measure of CBA .
E
33. Find the measure of DEC .
D
C
34. If AD  4x  3 and DC  18  x , find the value of BC.
35. Consecutive angles in a parallelogram are always __________.
36. The diagonals of a parallelogram are always __________.
37. Isosceles trapezoid JKLM has legs JK and LM, and base KL and JM. If JK  4x  6 , KL  9x  3 and
LM  7 x  9 . Find the value of x.
38. Find the perimeter of a square whose area is 64.
39. The sum of the exterior angles in a pentagon is _________.
40. The sum of the interior angles in an octagon is _________.
41. The measure of each interior angle of a regular hexagon is ________.
A
42. If ACE ~ BCF and BF = 12, CF = 8, EF = 6, find AE.
B
43. If ACE ~ BCF , and BC = 16, AB = 10, CF = 8, find EF.
E
F
C
44. The perimeter of PQR is 72, PQ = 20 and ST = 12. If PQR ~ STU , find the perimeter of STU .
45. The measures of two angles of a triangle are 32 and 47. Find the measure of the third angle.
D
G
46. A major arc of circle R is
E
R
47. In circle R, mGD mDF =
F
48. The measure of ABC 
A
110
100
49. The measure of A 
D
X
50. The measure of AXD 
B
C
51. If mFG  80 and mEC  44 , find mD.
F
52. If CT = 4, TG = 6, and TH = 3, find TF.
E
S
T
53. If DE = 6, EF = 8, and DC = 5, find DG.
D
C
G
H
54. Quadrilateral WXYZ is inscribed in circle P. If mX  60 and mXW  115 , find mXY.
W
X
Y
55. Find x.
56. Find y.
8
y
45
x
Z
56. Find a.
a
57. Find b.
8
30
b
58. Find c.
10
c
15
59. Find r. r
19
60. Find s.
s
54
12
61. Find t.
12
t
17
62. Find v.
21
v
12