Chapter 1 Review

Practice Problems for Chapter 1 Exam

1. What is the intersection of plane XWST and plane ZWSV?

Answer is A because two planes intersect in a line and plane XWST and plane ZWSV have point S and point W in common.

2. Name an angle complementary to

The answer is B because angle AOB is right which makes angle BOD right and m + m = 90 degrees.

3. Match the isometric drawing with the correct orthographic drawing.A. C.

B. D.

C. D.

The answer is C because it shows the correct top right and front sides.

4. Find the area of the circle to the nearest tenth. Use 3.14 for .

12.2 in.

Diameter is 12.2 in so the radius is 6.1 in. Area is so = 37.21(3.14) = 116.8394 = 116.8 in2

12.2 in. The answer is A.

5. bisects ∠LMN, m∠LMO =8x 25, and m∠NMO =2x + 41. Solve for x and find m∠LMN. The diagram is not to scale.

The answer is A.

Bisects means the angles are equal so set them equal to each other and solve.

= 2x + 41

So the whole angle measures 126 degrees

6. Name an angle vertical to D

G

E

HF

I

J

Vertical angles make an x so across from ∠HGJ is ∠FGD. The correct answer is D.

D

G

E

HF

I

J

7. What is the name of the ray that is opposite ?

A

B

C

D

The name of the ray that is opposite is either or So the correct answer is D.

A

B

C

D

8. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 2) and K(4, 10).A. (6, 12)

The answer is D.Average the x coordinates and the y coordinates.

=

9. Nate wants to put a fence around his rectangular garden. His garden measures 39 feet by 48 feet. The garden has a path around it that is 3 feet wide. How much fencing material does Nate need to enclose the garden and path?

The answer is B.

Since the pathway is on both sides you must add 6 to each dimension to find the new perimeter. 48 + 6 = 54 and 39 + 6 = 45. P = 2(54) + 2(45) =198 FEET OF FENCE NEEDED.

39 ft

48 ft

3 ft

10. Complete the statement. .

The answer is A.

The angle congruent to is They have the same markings.

11. If Z is the midpoint of what are x, RZ, and RT?

R TZ

8 9x - 23

A. x = 4, RZ = 18, and RT = 9

The correct answer is A.

Midpoint means middle so RZ = ZT.

R TZ

8 9x - 23

12. What are the measures of and ? Classify each angle as acute, right, obtuse, or straight.

A. B. C. D.

6%

94%

0%0%

BA C

D

EG

H

F

The answer is D.

Since And since BA C

D

EG

H

F

13. T(6, 11) is the midpoint of The coordinates of D are (6, 17). What are the coordinates of C?

The correct answer is B.

T(6, 11) is the midpoint of The coordinates of D are (6, 17). What are the coordinates of C?

14. Find the distance between points P(7, 3) and Q(2, 5) to the nearest tenth.

The answer is A.

15. What are the names of three collinear points?

JL

D

A

B

K

The answer is D.

Collinear means they are on the same line.

JL

D

A

B

K

16. When the net is folded into the rectangular prism shown beside it, which letters will be on the front and bottom of the rectangular prism?

U

V

W

X

Y Z

V

The answer is C.

W will be on the front when you fold V over to make the top and that makes X the bottom of the box.

U

V

W

X

Y ZV

17. Find the circumference of the circle to the nearest tenth. Use 3.14 for .

13 m

The answer is C.

Circumference is 13 m

18. Find the area of a rectangle with base of 66 cm and a height of 5 m.

The answer is C.

Find the area of a rectangle with base of 66 cm and a height of 5 m.

First covert 5 m to 500 cm.

Area is .

So

19. If , and , find the degree measure of and . The diagram is not to scale.

A. ,

B. ,

The answer is A. ,

If , and , find the degree measure of and . The diagram is not to scale.

20. If EF = 14 and EG=33, find the value of FG. The drawing is not to scale.

E GF

The answer is A.

E GF

If EF = 14 and EG=33, find the value of FG. The drawing is not to scale.