Free Printable Unit 5-6 Test Review

1.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.

P (penny, then dime).

a)

1/8

b)

9/100

c)

6/65

d)

17/195

2.

Find the probability of each set of independent events.

drawing a black checker from a bag of 6 black checkers and 4 red checkers, replacing it, and drawing another black checker.

a)

2/3

b)

9/25

c)

2/5

d)

3/5

3.

Kaylee has 1 red, 3 blue, 2 brown, 5 black, 1 purple, and 4 pairs of pink flip-flops in her closet. Assuming she always replaces them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday?

a)

3/8

b)

4/75

c)

3/64

d)

15/32

4.

A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys?

a)

1/6

b)

7/17

c)

3/8

d)

13/25

5.

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

a)

b)

c)

d)

6.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, 13)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

7.

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)

8.

If point S is the midpoint of segment RT, what conclusion can you make?

a)

b)

c)

d)

It is not possible to make a conclusion from the given information.

9.

Given the diagram, what conclusion(s) can be made? Check all that apply.

a)

Point K is between point J and point L.

b)

Point K is the midpoint of segment JL.

c)

d)

e)

10.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

11.

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

12.

What is the coordinate of so that point Q is $\frac{2}{5}$ the distance from B to A.

a)

-17

b)

-14

c)

-11

d)

-8

13.

Find the coordinates of Point R so that it is $\frac{3}{7}$ The distance from D to C.

a)

4

b)

8

c)

12

d)

16

14.

Find the coordinates of Point T so that it is $\frac{7}{10}$ the distance from E to F.

a)

41

b)

45

c)

49

d)

51

15.

Find the coordinates of Point T so that it is $\frac{7}{10}$ the distance from E to F.

a)

41

b)

45

c)

49

d)

51

16.

Find C on $\overline{AB}$ that is $\frac{1}{3}$ of the distance from A to B.

(a)

17.

Find D on $\overline{AB}$ that is $\frac{1}{6}$ of the distance from A to B.

(a)

18.

Find the measure of PQ

a)

PQ=4

b)

PQ=2

c)

PQ=8

d)

PQ=16

19.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

20.

If an image is 3 units away from the reflection line and the image is reflected over the line, how many units will the new image be from the reflection line?

a)

5 units

b)

4 units

c)

0 units

d)

3 units

21.

If an image is translated down 2 units and to the right 3 units, what would you need to do to get the image back in it's original position?

a)

Translate it to the left 3 units and up 2 units

b)

Translate it down 2 units and to the right 3 units

c)

Reflect it over the x-axis

d)

Rotate the image with the center as the origin

22.

If an image is translated down 2 units and to the right 3 units, what would you need to do to get the image back in it's original position?

a)

Translate it to the left 3 units and up 2 units

b)

Translate it down 2 units and to the right 3 units

c)

Reflect it over the x-axis

d)

Rotate the image with the center as the origin

23.

What is the proper term for rotating to the left?

a)

Clockwise

b)

Counter-clockwise

c)

Turn

d)

Spin

24.

Which way do you rotate if you turn to the right?

a)

Clockwise

b)

Counter-clockwise

c)

upside down

d)

flip-flop

25.

What information do you need to reflect an image?

a)

Line of rotation

b)

Line of reflection

c)

Degree of reflection

d)

Counter clockwise

26.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

27.

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

a)

(-5,-6)

b)

(5,-6)

c)

(6,5)

d)

(-6,5)

28.

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

a)

True

b)

False

29.

A dilation produces a similar figure

a)

True

b)

False

30.

A dilation produces a similar figure

a)

True

b)

False

31.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

32.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

33.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

34.

A dilation produces a congruent figure

a)

True

b)

False

35.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

36.

If a dilation produces a congruent figure, then the scale factor was equal to _____.

a)

1/2

b)

2

c)

10

d)

1

37.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

38.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

39.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

40.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

41.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

42.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

43.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{JK}\cong\overline{JK}$ ; Reflexive

b)

$\angle M\cong\angle L$ ; Reflexive

c)

$\overline{MJ}\cong\overline{LK}$ ; Midpoint Theorem

d)

$\overline{MK}\cong\overline{LJ}$ ; Hypotenuse Congruence

44.

Which of the following is a correct statement and reason for the proof shown?

a)

$\angle P\cong\angle Q$ ; SAS

b)

$\angle P\cong\angle Q$ ; CPCTC

c)

$\angle P\cong\angle Q$ ; SSS

d)

$\angle P\cong\angle Q$ ; SSA

45.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

b)

$\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

c)

$\overline{DG}\cong\overline{DG}$ ; Reflexive

d)

$\overline{DF}\cong\overline{FE}$ ; Midpoint Theorem

46.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

b)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

c)

$\overline{DG}\cong\overline{GE}$ ; Midpoint theorem

d)

$\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

47.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{FG}\cong\overline{FG}$ ; Midpoint Theorem

b)

$\overline{FG}\cong\overline{FG}$ ; Reflexive

c)

$\overline{DG}\cong\overline{GE}$ ; Midpoint theorem

d)

$\overline{DF}\cong\overline{FE}$ ; Definition of a Bisector

48.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{WE}\cong\overline{QE}$ ; Midpoint Theorem

b)

$\overline{WN}\cong\overline{GQ}$ ; Prove

c)

$\angle W\cong\angle Q$ ; Alternate Interior

d)

$\angle N\cong\angle G$ ; Alternate Interior

Unit 5-6 Test Review

Total questions: 48

Worksheet time: 3hrs 18mins

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