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..<br />

NAME DATE SCORE __<br />

Test 43 . Areas of Polygons<br />

Directions: Write answers in the spaces provided.<br />

1. Use dashed lines to show three different ways the given figure can<br />

be divided into four triangles that do not overlap.<br />

Itlc,w)( cVJ<br />

Answers<br />

(See question)<br />

1. (3)<br />

2. (5)<br />

3. (5)<br />

4. (5)<br />

5. (5)<br />

In Questions 2-9, find the area of each figure.<br />

2. A rectangle with base 5 and height 12<br />

C)<br />

3. A parallelogram with base 9 and height 4<br />

4. A triangle with base <strong>11</strong> and height 8<br />

5. A square with perimeter 28<br />

6. A trapezoid with bases 6 and 15 and height 12<br />

7. A rhombus with diagonals of lengths 18 and 30<br />

8. A regular polygon with apothem 9 and perimeter 40<br />

9. An isosceles triangle with sides of lengths 10, 10, and 12<br />

10. The area of a square is 50. Find the length of a diagonal.<br />

<strong>11</strong>. A rectangle has width represented by x and length represented by<br />

4x. If the area of the rectangle is 80, find the value of x.<br />

6. (5)<br />

7. (5)<br />

8. (5)<br />

9. (5)<br />

10. (7)<br />

<strong>11</strong>. (7)<br />

12. (7)<br />

13. (7)<br />

14. (7)<br />

15. (7)<br />

16. (7)<br />

( )<br />

In Questions 12-16, find the area of each figure.<br />

.In Question 17, find CF.<br />

12. 8 13. D 10 14.<br />

9~2<br />

/~<br />

.4 7 \<br />

~<br />

12 R 10 T<br />

17. (8)<br />

u//<br />

16. B 8 C 17.<br />

Ll :~<br />

A E F D<br />

~"",,,,,~=!--..lIoB<br />

I<br />

TESTS for GEOMETRY<br />

Copyright © by Houghton Mifflin Company. All rights reserved. SHEET 67


NAME<br />

DATE<br />

SCORE __<br />

Test 44<br />

Supplementary Test<br />

[) 1..(0)( CW I<br />

Directions: Write answers in the spaces provided.<br />

1. Which ratio represents the number 7r<br />

(A) diameter : radius<br />

(C) circumference : diameter<br />

2. The radius of a circle is 9.<br />

a. Find the circumference in terms of 7r.<br />

b. Find the area in terms of 7r.<br />

3. The diameter of a circle is 22. Use 7r :=== 3.14.<br />

a. Find the circumference to the nearest tenth.<br />

b. Find the area to the nearest tenth.<br />

(B) diameter : circumference<br />

(D) circumference: radius<br />

4. The area of a circle is 207r. Find the radius in simplest form.<br />

5. A central angle of a circle has measure 50. The radius of the circle<br />

is 18. FInd the area of the sector in the interior of the angle in<br />

terms of 7r.<br />

6. A circle has a radius of 12. If an arc of the circle has measure 100,<br />

find the length of the arc in terms of 7r.<br />

7. In a circle, the length of an arc with measure 120 is 147r. Find the<br />

radius of the circle.<br />

8. In terms of 7r, how much farther does a 70 cm diameter bicycle tire<br />

travel in one revolution than a 50 cm diameter bicycle tire<br />

Find the area of each shaded region in terms of 7r. Point 0 marks the<br />

center of a circle.<br />

9. 10. <strong>11</strong>.<br />

Answers<br />

1. (5)<br />

2. a. (5)<br />

b. (5)<br />

3. a. (5)<br />

b. (5)<br />

4. (6)<br />

5. (7)<br />

(<br />

6-<br />

•(. (7) \ )<br />

7. (7)<br />

8. (8)<br />

9. (8)<br />

10. (8)<br />

<strong>11</strong>. (8)<br />

12. (8)<br />

13. (8)<br />

"'<br />

6<br />

( )<br />

12. 13.<br />

(<br />

SHEET 68<br />

TESTS for GEOMETRY<br />

Copyright © by Houghton Mifflin Company. All rights reserved.<br />

"'-­

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