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Chapter 6 Review

Total questions: 48

Worksheet time: 4hrs 0mins

Name
Class
Date
1.
Which is NOT true about similar triangles.
a)
The angles in the triangles are congruent to each other.
b)
The sides are proportional to each other.
c)
The angles in each triangle add up to 180o.
d)
The triangles must have at least one side that is the same length.
2.
Are the triangles similar?
a)
Yes
b)
No
3.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by HL≅

c)

Yes, by SSS≅

d)

Yes, by SAS≅

e)

Not enough information

4.

Are the triangles congruent?

a)

Yes, by SS≅

b)

Yes, by HL≅

c)

Yes, by SSS≅

d)

Yes, by SAS≅

e)

Not enough information

5.

Are the triangles congruent?

a)

Yes, by AAS≅

b)

Yes, by AA≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

6.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

m∠LKN = m∠MNK

b)

m∠NLK = m∠KMN

c)

m∠LNK = m∠MKN

d)

KN = KN

e)

LN = MK

7.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

m∠Q = m∠S

b)

m∠P = m∠R

c)

m∠POQ = m∠ROS

d)

SO = QO

e)

RO = PO

8.

Which pieces of information could you use to prove the triangles congruent? (Select multiple.)

a)

m∠T = m∠V

b)

m∠U = m∠W

c)

m∠TXU = m∠VXW

d)

TX = VX

e)

TU = VW

9.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by AAA≅

e)

Not enough information

10.

Are the triangles congruent?

a)

Yes, by SSS≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

11.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by ASA≅

c)

Yes, by HL≅

d)

Yes, by SAS≅

e)

Not enough information

12.

A dilation produces a similar figure

a)

True

b)

False

13.

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

a)

True

b)

False

14.

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

15.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
16.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
17.
Does the image show a dilation?
a)
Yes
b)
No
18.

A dilation is which of the following:

a)

an enlargement

b)

a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

19.
Does the image show a Dilation?
a)
Yes
b)
No
20.

A dilation produces a congruent figure

a)

True

b)

False

21.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
22.
Definition: The figure after a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
23.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
24.
A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
25.
Did the image enlarge, reduce or none of the above?
a)
Enlarge
b)
Reduce
c)
None of the above
26.
Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?
a)
Yes, enlarge
b)
Yes, reduce
c)
No
27.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
28.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
29.
State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.
a)
(-6, 1)
b)
(-3, -2)
c)
(1, -6)
d)
(-2, -3)
30.
State the coordinates of the image of point B after a dilation with a scale factor of 2 and centered at point A.
a)
(-4,2)
b)
(-8,4)
c)
(-4,6)
d)
(-2,-2)
31.
The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
32.
Under a dilation, which scale factor will result in a congruent image?
a)
-2
b)
0
c)
1
d)
1/2
33.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
34.

E and F are points on the sides PQ and PR

respectively of a Δ PQR. If PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm, then EF || QR.

a)

True

b)

False

35.

in the fig, if DE ll BC then find the value of AD

a)

16

b)

8

c)

4

d)

32

36.

In the fig, DE ll BC. find the value of EC

a)

4

b)

18

c)

12

d)

16

37.
Name a segment parallel to segment AC
a)
segment DE
b)
segment DB
c)
segment AC
d)
segment BC
38.

Find the value of x

a)

20

b)

4

c)

24

d)

36

39.

When do we use the Pythagorean Theorem?

a)

To find a missing angle in a right triangle

b)

To find the missing length of a right triangle

c)

To find the area of a right triangle

d)

To find the slope of a right triangle

40.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

41.

Will these sides form a right triangle?

3, 12, 13

a)

Yes

b)

No

42.

Find the value of y.  You need to use the Geometric Mean to find y.  ax=xb\frac{a}{x}=\frac{x}{b}  

a)

4

b)

2√6

c)

6√2

d)

12

43.

 ax=xb\frac{a}{x}=\frac{x}{b}  Find the geometric mean of 5 and 8.

a)

4

b)

10

c)

2√10

d)

4√10

44.
Solve for x
a)
x = 5√2
b)
x = 5√3
c)
x = 5√6
d)
x = 5
45.

 ax=xb\frac{a}{x}=\frac{x}{b}  What is the value of x?

a)

48

b)

12

c)

373\sqrt{7}

d)

9

46.

What is the value of x?

a)

48

b)

12

c)

373\sqrt{7}

d)

9

47.

What is the value of a?

a)

4

b)

12

c)

28

d)

434\sqrt{3}

48.

What is the value of c?  *Find the length of the altitude first.*

a)

4

b)

 636\sqrt{3}  

c)

8

d)

434\sqrt{3}

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