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HGEO Ch. 1 Basics of Geometry Test REview

Total questions: 79

Worksheet time: 2hrs 45mins

Name
Class
Date
1.
Name the image
a)
Line segment
b)

Line

c)

Point

d)

Ray

2.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
3.

A flat surface made up of points that has two dimensions and extends without end.

a)
Point
b)
Plane
c)
Angle
d)
Line
4.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
5.
A line is named by...
a)
Any 2 points on the line, or a lowercase script letter.
b)
Any 3 points on the line.
c)
Any 1 point on the line.
d)
Any 3 points on the line, or a uppercase script letter.
6.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
7.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
8.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
9.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
10.
Give another name for plane Q.
a)
Plane FEGI
b)
Plane FEG
c)
Plane m
d)
Plane FGI
11.
An example of coplaner points
a)
D, E, B
b)
C, B, A
c)
M, E, C
d)
A, F, E
12.
A line that contains point M.
a)

Line q

b)

Line p

c)

Line r

13.
Name the intersection of Plane ADE and Plane W
a)
Point E
b)
Point A
c)
Line AD
d)
Line EA
14.
Name 3 coplaner points.
a)
ZRW
b)
VZX
c)
VWX
d)
WYZ
15.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
16.
Are points D and E collinear or coplanar?
a)
Collinear
b)
Coplanar
17.
True or False: Line DE lies in plane ABC
a)
True
b)
False
18.
True or False: Line AB lies in plane ABC
a)
True
b)
False
19.

True or False: Points B, C, and D are coplanar.

a)

True

b)

False

20.
True or False: Points A, B, and C are collinear.
a)
True
b)
False
21.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

a)

3

b)

44

c)

5

d)

6

22.

Suppose AC =  48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

23.

Find the length indicated.

(a)  

24.
Find measurement for QT.
a)
10
b)
6
c)
-10
d)
2
25.

If M, N, O, and P are four points on a segment MP, what will be the correct expression to find the value of OP?

a)

OP = MP + (MN + NO)

b)

OP = MP + MN + NO

c)

OP = MP - (MN + NO)

d)

OP = MP - MN + NO

26.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

27.

Write an equation that could be used to relate the lengths shown.

a)

4 + 3x + 2 = 7x - 2

b)

7x - 2 + 4 = 3x + 2

c)

7x - 2 + 3x + 2 = 4

28.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

29.
a)

Segment

b)

Arrow

c)

Line

d)

Ray

30.
Find measurement for QS.
a)
7
b)
4
c)
3
d)
1
31.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

32.
a)

Ray

b)

Plane

c)

Line

d)

Segment

33.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

34.

If HJ=7x-27, find the value of x.

a)

4

b)

5

c)

6

d)

7

35.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
36.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

37.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
38.

Find the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)

a)

(8,2)

b)

(-26,-14)

c)

(0,-10)

d)

(-2,-8)

39.

Which figure below illustrates the statement "J is the midpoint of segment DK"?

a)
b)
c)
d)
40.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

A

b)

B

c)

C

d)

D

41.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

42.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
43.
What formula do you use to measure the entire length of a diagonal? 
a)
midpoint formula
b)
slope
c)
distance formula
d)
midpoint theory
44.

Which of the following formulas is the distance formula?

a)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)

b)

(x2x1)2+(y2y1)2\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

c)

a2+b2=c2a^2+b^2=c^2

d)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

45.
What is the distance between (-5, 5) and (1, -2)
a)
9.2
b)
12.6
c)
14
d)
7.8
46.

Find the midpoint:

a)


(3,1)\left(3,-1\right)

b)

(1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

47.

Find the midpoint:

a)

(32,52)\left(-\frac{3}{2},-\frac{5}{2}\right)

b)

(1,3)\left(-1,-3\right)

c)

(12,52)\left(-\frac{1}{2},-\frac{5}{2}\right)

d)

(3,1)\left(-3,-1\right)

48.

Find the midpoint: (2,7),(10,1)\left(2,-7\right),\left(10,1\right)  

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

49.

Find the midpoint: (3,9),(1,5)\left(3,9\right),\left(-1,-5\right)  

a)

(1,2)\left(-1,-2\right)  

b)

(2,7)\left(2,7\right)  

c)

(2,7)\left(-2,-7\right)  

d)

(1,2)\left(1,2\right)  

50.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

51.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
52.
What is the center of MN given M(3, -1) and N(7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
53.
What point is halfway between (3, -1) and (8, -6)?
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
54.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
55.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
56.
Find the distance between the points:  (-3, -4) and (5, 5)
a)
11.8
b)
14.4
c)
12
d)
19
57.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
58.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
59.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
60.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

61.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
62.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

63.

What is the distance between AB?

a)

0

b)

undefined

c)

5

d)

4

64.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
65.

Find the perimeter of this triangle.

a)

585 ft2

b)

144 ft

c)

1170 ft2

d)

118 ft

66.

Find the area of the parallelogram.

a)

91 m2

b)

45.5 m2

c)

46 m

d)

130 m2

67.

Josie built a rectangular flower garden. The garden is 10 feet long and 8 feet wide.

What is the area of Josies’s flower garden?

a)

18 m

b)

80 m2

c)

36 m

d)

40 m2

68.

Find the area of this triangle.

a)

180 ft

b)

180 ft2

c)

73 ft

d)

300 ft2

69.

Sharon’s LCD TV measures 18 inches by 24 inches. She wants to know the area of the LCD TV. What is the area of the LCD TV?

a)

432 in2

b)

42 in2

c)

84 in

d)

216 in2

70.

What is the perimeter of the parallelogram?

a)

19 cm

b)

32 cm2

c)

15 cm

d)

30 cm

71.

The area of a rectangle is 72 sq ft.  One side length is 9 ft.  What is the other side length?

a)

8 ft

b)

27 ft

c)

648 ft2

d)

8 ft2

72.

Norman is a sunflower farmer. He uses a plot of land that is 3 km by 4.3 km. How much land does he use for his sunflowers?

a)

14.6 km2

b)

12.9 km

c)

14.6 km

d)

12.9 km2

73.

Ashley wants to use ribbon to put a border around her picture. The picture is 6 inches long and 4 inches wide. How much border will she need?

a)

24 in2

b)

20 in

c)

10 in

d)

24 in

74.

The perimeter of a rectangle is 34 meters. The width is 4 meters. What would the length be?

a)

30 m

b)

15 m

c)

17 m

d)

13 m

75.

What is the perimeter of this hexagon?

a)

7 cm

b)

12 cm

c)

20 cm

d)

14 cm

76.

Find the perimeter of the parallelogram.

a)

60 cm2

b)

34 cm

c)

23 cm

d)

42 cm2

77.

Ronald wants to paint his drawing room wall which measures 8 feet by 9 feet. The cost of the paint is $5 per square foot. How much will it cost Ronald to paint the wall?

a)

$72

b)

$85

c)

$360

d)

72 ft2

78.

Norah bought a triangular rug that was 3 feet long and and 5 feet tall.  How much area did her rug cover?

a)

15 ft2

b)

8 ft2

c)

7.5 ft

d)

7.5 ft2

79.

Before soccer practice Allyson jogs around the field that measures 100 yards by 65 yards twice. How far will she jog?

a)

330 yds

b)

165 yds

c)

660 yds

d)

6500 yds