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Geometry Unit 1

Total questions: 25

Worksheet time: 43mins

Name
Class
Date
1.

Match the following undefined terms with a picture that represents them.

a)

1.

Points

b)

2.

plane

c)

3.

line

d)

4.

angle

2.

A circle has a diameter with endpoints A(-4,5) and B(1,-2).

What is the length of the diameter?

a)

74\sqrt[]{74}

b)

64\sqrt[]{64}

c)

12\sqrt[]{12}

d)

24\sqrt[]{24}

3.

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)

4.

Find the midpoint of line BC

a)

(1,2)

b)

(2,1)

c)

(1,1.5)

d)

(1.5,1)

5.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
6.
What is the distance between (-5, 5) and (1, -2)
a)
9.2
b)
12.6
c)
14
d)
7.8
7.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
8.
Which of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."
a)
If you are not a guitar player, then you are not a musician.
b)
If you are a musician, then you are a guitar player.
c)
If you are a guitar player, then you are not a musician.
d)
If you are not a musician, then you are not a guitar player.
9.
When taking the converse we ___________ the hypothesis and conclusion.
a)
negate
b)
switch
c)
leave the same
d)
switch and negate
10.
Conditional: If it does not rain, then we will have practice.
What is "If it rains today, then we will have not practice", called
a)
Inverse
b)
Converse
c)
Contrapositive
d)
Counterexample
11.

Original: If Jenny buys a guitar, then she will buy a keyboard.
What is this? If Jenny doesn't buy a keyboard, then she will not buy a guitar.

a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
12.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
13.
Find DE
a)
5
b)
6
c)

32

d)
21
14.
XY =
a)
6
b)
28
c)
11
d)
7
15.

If DF=9x-39, find EF.

a)

16

b)

58

c)

116

d)

23

16.

Write an equation of a line perpendicular to
y=27x−5y=\frac{2}{7}x-5 through (2, -3)

a)

y=−72x+4y=-\frac{7}{2}x+4

b)


y=−4x−72y=-4x-\frac{7}{2}

c)

y=4x−72y=4x-\frac{7}{2}

d)

y=72x+4y=\frac{7}{2}x+4

17.

A line passes through point (2, 2) and is PARALLEL to 5x + 2y = 8.

Which is the equation of the line?

a)

y=−52x+7y=-\frac{5}{2}x+7

b)

y=52x−19y=\frac{5}{2}x-19

c)

y=25xy=\frac{2}{5}x

d)

y=2x−5y=2x-5

18.

Which of the following lines goes through the point (0, 4) and is PARALLEL to 5x-y=3?

a)

y=15x−3y=\frac{1}{5}x-3

b)

y=5x−7y=5x-7

c)

y=5x+4y=5x+4

d)

y=−5x−3y=-5x-3

19.
What is the measure of the missing angle?
a)
76
b)
86
c)
166
d)
156
20.

What is the value of ∠TRS\angle TRS ?

a)

10°10\degree

b)

30°30\degree

c)

150°150\degree

d)

14°14\degree

21.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

22.
WHAT IS THE CORRECT EQUATION TO USE TO SOLVE FOR X?
a)

33 = 7X +5

b)

-7X=33

c)

33+7X+5=180

d)

33+7X+5=90

23.

Angles are indicated on the diagram.

Which pairs of lines must be parallel?

a)

a and b only

b)

e and f only

c)

a and b; e and f

d)

none of the lines are parallel

24.

What is the reason that we can say ∠KLI ≅∠NLM\angle KLI\ \cong\angle NLM ?

a)

Corresponding angles are supplementary

b)

Adjacent angles are supplementary

c)

Alternate exterior angles are congruent

d)

Vertical angles are congruent.

25.

Line t is the perpendicular bisector of AB‾\overline{AB} .

For any point P on line t , which statement must be true?

a)

BM=BP

b)

AM=AP

c)

AP=BP

d)

none of the above