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Unit 1 Geometry Review

Total questions: 35

Worksheet time: 2hrs 37mins

Name
Class
Date
1.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
2.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
3.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
4.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
5.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
6.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
7.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
8.

How is AB written in the distance formula?

a)


d = (5−3)2 + (0−−2)2d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}

b)

d = (2−5)2 + (3 −0)2d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}

c)

d = (5−3)2 − (0−−2)2d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}

d)

d = (4−3)2 − (2−4)2d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}

9.

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

a)
b)
c)
d)
10.

What is the distance between the following points?

a)

5

b)

7

c)

12\sqrt{12}

d)

28\sqrt{28}

11.

If m∠ABC = 103° find x.

(a)  

12.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

13.

a)

23°

b)

28°

c)

25°

d)

27°

14.

a)

82°

b)

128°

c)

63°

d)

100°

15.

∠JKU=3x−9, ∠UKL=138°\angle JKU=3x-9,\ \angle UKL=138\degree  and    ∠JKL=15x−3\angle JKL=15x-3  . Solve for x. 



a)

x = 49

b)

x = 9.4 

c)

x = 11

d)

x = 8.3

16.

Find the length indicated.

(a)  

17.

Find the indicated length.

(a)  

18.

A flat surface is called a...

a)

plane

b)

line

c)

point

d)

ray

19.

Part of a line that has a beginning, but no end is called a...

a)

line segment

b)

ray

c)

angle

d)

plane

20.

A straight path with no beginning or end is a...

a)

ray

b)

line

c)

plane

d)

angle

21.

Part of a line that has a beginning and an end is called a...

a)

ray

b)

plane

c)

angle

d)

line segment

22.

A specific location in space is called a...

a)

line

b)

point

c)

line segment

d)

ray

23.
Let B be between A and C.
a)
7
b)
24
c)
13
d)
14
24.
a)
4
b)
5
c)
8
d)
6
25.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
26.
10(h+1)-4=76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
27.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
28.

−118=−5(4+7x)+7-118=-5\left(4+7x\right)+7  

a)

−5-5  

b)

−9-9  

c)

33  

d)

−1-1  

29.

−(3v+1)+7(6v+6)=−37-\left(3v+1\right)+7\left(6v+6\right)=-37  

a)

44  

b)

00  

c)

22  

d)

−2-2  

30.

A statement that compares two expressions.

  • - less than

  • - greater than

  • - less than or equal to

  • - greater than or equal to

a)

Obtuse Angle

b)

Inequality

c)

Obtuse Triangle

d)

x-axis

e)

y-axis

31.

An angle that measures greater than 90 degrees and less than 180 degrees.

a)

Obtuse Angle

b)

Inequality

c)

Obtuse Triangle

d)

x-axis

e)

y-axis

32.

A triangle with one exterior angle greater than 90 degrees.

a)

Obtuse Angle

b)

Inequality

c)

Obtuse Triangle

d)

x-axis

e)

y-axis

33.

A vertical plane in a Cartesian coordinate system

a)

Obtuse Angle

b)

Inequality

c)

Obtuse Triangle

d)

x-axis

e)

y-axis

34.

A horizontal plane in a Cartesian coordinate system

a)

Obtuse Angle

b)

Inequality

c)

Obtuse Triangle

d)

x-axis

e)

y-axis

35.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4