Download Part A: Multiple Choice (value - 20)

GMF 10 – Geometry Unit Test
Name:___Answers_____
Part A: Multiple Choice (value – 20)
Identify the choice that best completes the statement or answers the question.
_C___ 1. The complementary angle to 40° is ______ and the supplementary angle is _______.
a. 120°, 50°
b. 320°, 60°
c. 50°, 140°
d. 60°, 140°
__D__ 2. Two lines are perpendicular when:
a. The angle between them is acute.
b. The angle between them is obtuse.
__B_
c. The angle between them is 45°.
d. The angle between them is 90°.
3. If the complement of a 40° angle is bisected, what will each resulting angle measure?
a. 12.5°
b. 25.0°
c. 50.0°
d. 37.0°
_ B___ 4. A transversal intersects two parallel lines. If one angle is 49°, what will the alternate interior angle be?
a. 131°
__C_
b. 49°
c. 25°
d. 42°
5. Two interior angles lie on the same side of a transversal that intersects two parallel lines. If one angle is 60°, what
will the other angle be?
a. 30°
b. 60°
c. 120°
d. 67°
__D__ 6. TV screen sizes are indicated by the distance between opposite corners. A big screen TV has sides that are 32 in
high and 43 in wide. What is the size of the TV?
a. 49 in
__D_
b. 59 in
c. 29 in
d. 54 in
7. A park is 45 m long by 30 m wide. When travelling between opposite corners, how much shorter is it to walk
diagonally across the park instead of walking along its sides?
a. 26 m
b. 54 m
c. 51 m
d. 21 m
__C__ 8. A right triangle has a hypotenuse of 16 cm. If one of the angles is 27°, what is the length of the opposite side?
a. 8.15 cm
b. 8.47 cm
c. 7.26 cm
d. 14.26 cm
__A__ 9. A right triangle has a hypotenuse of 1.4 cm. If one of the angles is 45°, what is the adjacent side?
a. 0.99 cm
b. 1.40 cm
c. 1.98 cm
d. 2.2 cm
__D__ 10. A right triangle has an angle of 59° and the adjacent side is 30 cm. What is the hypotenuse?
a. 35.00 cm
b. 18.03 cm
c. 46.30 cm
d. 58.25 cm
SPACE FOR DIAGRAMS
__A__ 11. A right triangle has an angle of 15°. If the opposite side is 67 cm long, what is the length of the adjacent side?
a. 250.0 cm
b. 258.9 cm
c. 253.7 cm
d. 254.9 cm
__C__ 12. A right triangle has an angle of 76°. If the adjacent side is 19.0 cm long, what is the length of the opposite side?
a. 19.0 cm
b. 74.5 cm
c. 76.2 cm
d. 78.5 cm
__B__ 13. The hypotenuse of a right triangle is 23.96 cm and one leg is 11.09 cm long. What is the angle opposite to the
11.09 cm side?
a. 24.84°
b. 27.57°
c. 62.43°
d. 39.87°
__C__ 14. A right triangle has two sides measuring 10 m and 22 m, respectively. If one of the sides is the hypotenuse, what
is the largest angle that can be between them?
a. 27.0°
b. 24.4°
c. 63.0°
d. 67.5°
__B_ 15. A rectangle has a length of 12 cm and an area of 120 cm2. What is the length of the diagonal of the rectangle?
a. 17.62 cm
b. 15.62 cm
c. 120.60 cm
d. 119.40 cm
__D__ 16. A right triangle has an angle of 15° and the opposite side is 28 cm. What is the length of the hypotenuse?
a. 28.99 cm
b. 119.48 cm
c. 104.50 cm
d. 108.18 cm
__C__ 17. A right triangle has a hypotenuse of 76 cm and one interior angle of 18.9°. What is the length of the side opposite
the 18.9° angle?
a. 71.90 cm
b. 37.83 cm
c. 24.62 cm
d. 26.02 cm
__D__ 18. A right triangle has a leg of 3.5 cm and the adjacent angle is 8°. What is the length of the hypotenuse?
a. 3.47 cm
b. 25.15 cm
c. 24.90 cm
d. 3.53 cm
__A_ 19. Which side of a right triangle will be the longest if tan A is equal to 2?
a. hypotenuse
b. opposite side
c. corresponding
side
d. adjacent side
__D__ 20. Adding 90° to an acute angle will always produce a(n) ______________ angle.
a. acute
b. right
c. reflex
d. obtuse
SPACE FOR DIAGRAMS