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##### 幾何學 （時間限制：35 分鐘）

##### 年終評估

1. Identify the following property, GH = MN and MN = OP, so GH = OP

Substitution property

Transitive property

Associative property

None of the above

2. Find, to the nearest tenth, the area of the region that is inside the square is a circle. find the area of the circle if the side of the square is 14 inches.

41.3 inch²

42.13 inch²

42.1 inch²

None of the above

3. What is the equation of a line parallel to y = 7x − 8 that passes through (5,−2)?

y = 7x

y = 7x − 37

y = 7x − 3

y = -7x − 37

What is the equation of a line perpendicular to y = −3x + 4 that passes through (−1,6)?

y=3x+19/3

y=1/3x+19

y=-1/3x+19/3

y=1/3x+19/3

5. The measure of the supplement of an angle is one fourth the measure of the angle. What is the measure of the angle

29

36

35

144

6. Identify the following property, m∠1 = 134° and m∠2 = 134°, so m∠1 = m∠2

Reflexive property

Substitution property

Transitive property

Distributive property

7. When a conditional and its converse are true, you can combine them as a true ____

counterexample

conditional

hypothesis

biconditional

8. A kite has diagonals 9.2 ft and 8 ft. What is the area of the kite?

36.8 square feet

34.8 square feet

38 square feet

36.9 square feet

9. A model is built having a scale of 1 : 100,000. How high would a 35,600-ft mountain be in the model? Give your answer to the nearest tenth of an inch.

4.272 in.

42.72 in.

427.2 in.

None of the above

10. Donald is flying a kite on the beach. The string forms a 45° angle with the ground. If he has let out 16 meters of line, how high above the ground is the kite?

about 13 meters

about 113 meters

about 1.3 meters

about 11.3 meters

11. The widths of two similar rectangles are 16 cm and 14 cm. What is the ratio of the perimeters?

3 : 7

8 : 5

8 : 7

7 : 8

12. What is the measure of each exterior angle of a regular 12-gon?

10

150

25

30

13. Determine the midpoint of a line segment with given endpoints(−10,−1) and (0, 4).

(−5, 1.5)

(5, 1.5)

(−5, 15)

(5, 15)

14. Jerome is flying a kite on the beach. The kite is attached to a 100-foot string and is flying 45 feet above the ground. Find the measure of the angle formed by the string and the ground.

about 26.4°

about 16.4°

about 15.74°

about 26.74°

15. What is the converse of the following statement? If Gerald goes swimming, then he will wear his red swimsuit.

If Gerald goes swimming, then he will wear his blue swimsuit.

If Gerald does not go swimming, then he will not wear his red swimsuit.

If Gerald wears his red swimsuit, then he will go swimming.

If Gerald does not wear his red swimsuit, then he will not go swimming.

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