1. QUIZ REVIEW Interior Angle Measures
Changes in Dimension of Perimeter and Area
Surface Area

2. 1
Using (n-2)180, find the sum of the interior angle measures of the given polygon: hexagon
Show all work.

3. ANSWER: hexagon – 6 sides
(6-2)180
4(180)
720⁰

4. 2
Suppose the side lengths of the parallelogram below are multiplied by ⅓.
What effect would this have on the perimeter?
Justify your answer.

5. ANSWER:
Original Perimeter:
= 42 inches
New Perimeter:
= 14 inches
Because the sides are ⅓ times the original, then the new perimeter is ⅓ times the original perimeter.

6. 3 Find the missing angle measure for the triangle to the right.
Show all work.

7. ANSWER:
= 80
180 – 80 = 100
100⁰

8. 4 The measures of the angles of triangle XYZ are in the ratio 3:3:6.
What are the measures of the angles?
Show all work.

9. 45⁰ 90⁰ work: ANSWER: Ratio: 3:3:6 Add 3 + 3 + 6 3 + 3 + 6 = 12
180 ÷ 12 (to find one measure)
One measure is 15⁰
3(15) = 45⁰
6(15) = 90⁰
ANSWER:
45⁰
90⁰

10. 5 Find the surface area of the rectangular prism. front and back
top and bottom
two sides

11. SA = 800 in2 ANSWER: SURFACE AREA: Top: 15 • 10 = 150
Bottom: 15 • 10 = 150
Front: 15 • 10 = 150
Back: 15 • 10 = 150
Side 1: 10 •10 = 100
Side 2: 10 •10 = 100
SA = 800 in2

12. 6 A rectangle measures 4 feet by 8 feet.
Suppose the side lengths are multiplied by 2.5.
What effect would this have on the area?
Justify your answer.

13. ANSWER:
Original Area: New Area:
4  8 = 32 feet  20 = 200 feet2
Because the side lengths increased 2.5 times, the new area is 2.52 = 2.5  OR
6.25 times larger than the original area.

14. 7
The soccer ball below consists of repeating pentagons and hexagons. Find the measure of one interior angle of a pentagon. Use (n-2)180.
Show all work.

15. ANSWER:
(5 – 2)180
(3)180
540 ⁰
540 ÷ 5 (to find one angle measure)
108⁰

16. 8 Find the missing angle measure for the triangle to the right.
Show all work.

17. ANSWER:
= 135
180 – 135 = 45
45⁰

18. 9
CARPENTRY Bryan is sanding a set of speaker boxes that he built for his room. What is the surface area of each box?
SHOW ALL WORK

19. Surface Area: Front: 1.1 • 4.6 = 5.06 Back: 1.1 • 4.6 = 5.06
ANSWER:
Surface Area:
Front: 1.1 • 4.6 = 5.06
Back: 1.1 • 4.6 = 5.06
Top: 1.1 • 2.2 = 2.42
Bottom: 1.1 • 2.2 = 2.42
Side 1: 4.6 • 2.2 = 10.12
Side 2: 4.6 • 2.2 = 10.12
SA = 35.2 ft2

20. 10 The measures of the angles of triangle RST are in the ratio 2:4:9.
What are the measures of the angles?
Show all work.

21. 24⁰ 48⁰ 108⁰ work: ANSWER: Ratio: 2:4:9 Add 2 + 4 + 9 2 + 4 + 9 = 15
180 ÷ 15 (to find one measure)
One measure is 12⁰
2(12) = 24⁰
4(12) = 48⁰
9(12) = 108⁰
ANSWER:
24⁰
48⁰
108⁰