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Name _________________________________________
Date
____________________
End-of-Course Test
1. What is the approximate length and midpoint of PQ with endpoints
P(–3, 4) and Q(5, –8)?
 1 and  2 are complementary angles. Given the measure of
 1, find m  2.
2. m  1 = 37°
3. m  1 = 86°
4. m  1 = 9°
 1 and  2 are supplementary angles. Given the measure of
 1, find m  2.
5. m  1 = 142°
6. m  1 = 13°
7. m  1 = 20.4°
Answers
1. _____________
2. _____________
3. _____________
4. _____________
5. _____________
6. _____________
Draw a figure that fits the description.
8. A concave pentagon
9. A hexagon that is not regular
7. _____________
8. _____________
10. What is the circumference and area of a circle with a diameter of
13 centimeters? Round your answers to two decimal places.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
11. Write the converse of the statement “If you are a basketball player,
then you are tall.” Is the statement true or false?
12. Write the inverse of the statement “If today is April 24, then
tomorrow is April 25.” Is the statement true or false?
Name the property illustrated by the statement.
13. JK = JK
14. If x = y, then xz = yz.
10. _____________
11. _____________
_____________
_____________
12. _____________
_____________
Find the values of x and y.
15.
9. _____________
_____________
16.
13. _____________
14. _____________
15. _____________
16. _____________
Tell whether the lines through the given points are parallel,
perpendicular, or neither.
17. Line 1: (1, 5), (–3, 0)
Line 2: (–2, –4), (3, 0)
18. Line 1: (–1, –4), (6, –2)
Line 2: (–2, 8), (5, 10)
17. _____________
18. _____________
19. _____________
19. Write an equation of the line that passes through the point (2, 3) and
1
is perpendicular to the line y = x – 1.
2
Geometry
Assessment Book
Name _________________________________________ Date
____________________
End-of-Course Test continued
Is it possible to prove that the triangles are congruent? If so,
state the postulate or theorem you would use.
Answers
20. Δ ABE, ΔCBD
20. _____________
21. ΔFGK, ΔJGH
_____________
21. _____________
_____________
22. _____________
Find the value of x.
22.
23. _____________
23.
24.
24. _____________
25. _____________
26. _____________
27. _____________
Complete the statement with <, >, or =.
28. _____________
FG
26. QR ?
TR
Draw a dilation of the triangle with the given vertices using
the given scale factor k.
27. A(0, 2), B(3, 1), C(2, 3);
k=2
Geometry
Assessment Book
28. A(–4, 8), B(2, 4), C(2, 0);
k = 0.25
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
25. AC ?
Name _________________________________________
Date
____________________
End-of-Course Test continued
The given lengths are two sides of a right triangle. All three
side lengths of the triangle are integers and together form a
Pythagorean triple. Find the length of the third side and tell
whether it is a leg or the hypotenuse.
29. 55 and 73
30. 18 and 82
31. 75 and 100
Answers
29. _____________
30. _____________
32. A mall escalator rises 84 feet at a 35° angle. Find the distance a
person travels on the escalator stairs. Round your answer to two
decimal places
31. _____________
Solve the right triangle. Round decimal answers to the
nearest tenth.
33. _____________
33.
34.
32. _____________
_____________
35.
34. _____________
_____________
35. _____________
Find the value of x.
36.
_____________
37.
38.
36. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
38. _____________
39. _____________
Tell whether enough information is given in the diagram to
classify the quadrilateral by the indicated name.
40. _____________
39. Square
41. _____________
40. Rectangle
41. Rhombus
42. _____________
_____________
43. _____________
The vertices of JKLM are J(2, –1), K(4, 0), L(5, –3), and
M(1, –4). Find the coordinates of the image of JKLM
after a composition of the transformations in the order
they are listed.
_____________
42. Translation: (x, y) → (x – 2, y + 3)
Reflection: in the x-axis
43. Translation: (x, y) → (x + 1, y – 4)
Rotation: 90° about the origin
Geometry
Assessment Book
Name _________________________________________
Date
____________________
End-of-Course Test continued
Find the image matrix that represents a dilation of the polygon
centered at the origin with the given scale factor.
A
B
44.  2
 3

1
5
C
4
;k 3
 1
P
Q
R
45.  6
 3

0
3
2
;k 

0  6
3
9
Answers
S
3
44. _____________
Find the value of each variable.
46.
47.
45. _____________
46. _____________
47. _____________
48. Write the standard equation of the circle with center (7, –2) and
radius 4 3 .
48. _____________
49. _____________
Find the area of the figure.
50. _____________
49.
52. _____________
Find the indicated measure.
50. Circumference of
L
53. _____________
51. Area of sector ACB
Find the volume of the figure. Round your answers to two
decimal places, if necessary.
52.
53.
54. Two cylindrical candles have a scale factor of 3 : 5. The larger candle
has a volume of 40π cubic inches. Find the volume of the smaller
candle. Write your answer in terms of π.
Geometry
Assessment Book
54. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
51. _____________
Answers for End-of-Course-Test
1. 14.4 units, (1, –2) 2. 53° 3. 4° 4. 81°
5. 38° 6. 167°
7. 159.6°
8. Sample answer:
9. Sample answer:
10. C = 40.84 cm, A = 132.73 cm2 11. If you
are tall, then you are a basketball player.; False
12. If today is not April 24, then tomorrow is not
April 25.; True 13. Reflexive Property of
Equality 14. Multiplication Property of Equality
15. x = 51, y = 68 16. x = 26, y = 8
17. neither 18. parallel
19. y = –2x + 7
20. no 21. yes; AAS Congruence Theorem
22. x = 5
23. x = 10 24. x = 3
25. <
26. =
27.
28.
29. 48, leg 30. 80, leg 31. 125, hypotenuse
32. 146.45 ft 33. m  B = 42°, AC ≈ 13.4,
BC ≈ 14.9 34. m  H = 19°, FG ≈ 3.1,
FH ≈ 9.5
35. m  P ≈ 39.8°, m  Q ≈50.2°, PQ = 15.6
36. x = 139 37. x ≈ 69.5 38. x ≈ 98.5
39. yes 40. yes 41. no
42. J"(0, –2), K"(2, –3), L"(3, 0), M"(–1, 1)
43. J"(5, 3), K"(4, 5), L"(7, 6), M"(8, 2)
A'
B'
C'
44.  6
 9

3
12  45.  4
 2
 3 

15
P' Q' R'
0
6
S'
2
0  4 
2
46. x = 47, y = 7
47. x = 10
2
48. (x – 7) + ( y + 2)2 = 48
49. 374.12 square units 50. 123.43 cm
51. 94.25 yd2 52. 1662.77 ft3
53. 10,240 m3
54. 8.64π in.3