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Geometry - Final Exam Review (Units 1 - 3)

Total questions: 38

Worksheet time: 10hrs 30mins

Name
Class
Date
1.

Find the image of Y(6, -3) after a dilation centered at the origin with a scale factor of 3.

a)

Y'(2, -1)

b)

Y'(2, 1)

c)

Y'(18, -9)

d)

Y'(18, 9)

2.

Rotate the point (2,1) around the origin 270° CW. State the image of the point.

a)

(-2, 1)

b)

(-1, 2)

c)

(1, -2)

d)

(-1, -2)

3.

Reflect (3,5) over the x-axis.

a)

(2,2)

b)

(3,-5)

c)

(-3,-5)

d)

(-3,5)

4.
Which transformation will result in being similar to the original figure but has a larger area?
a)
Dilation with scale factor of 2
b)
Dilation with scale factor of 1
c)
Dilation with scale factor of .5
d)
Translation 
5.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

6.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

7.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
8.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
9.

Describe the transformation.

a)

90º counterclockwise rotation

b)

180º counterclockwise rotation

c)

90º clockwise rotation

d)

reflection across the origin

10.

Choose ALL the degrees of rotation that will map a regular hexagon onto itself.

a)

90

b)

120

c)

150

d)

240

e)

300

11.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
12.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
13.

What is the measure of x?

a)

12

b)

15

c)

6

d)

9

14.

Use the information in the diagram to determine the height of the tree.

a)

80 feet

b)

320 feet

c)

40 feet

d)

160 feet

15.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
16.
Solve for x.
a)
3
b)
6
c)
8
d)
9
17.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
18.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
19.
The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
20.

Are the triangles similar? Is so by what method and what is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW by SAS

b)

ΔXZY~ΔNWE by AA

c)

ΔZYX~ΔENW by SSS

d)

ΔYZX~ΔNWE by AA

21.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
22.

Each of the triangles are right triangles. Which triangle is similar to the above triangle ?

a)

A

b)

B

c)

C

d)

D

23.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
24.

Determine if the triangles are similar. If they are, state the method and complete the similarity statement.

a)

SSS, ΔVML

b)

SAS, ΔLMV

c)

SAS, ΔVLM

d)

The triangles are not similar

25.
Are these two triangles similar?  
a)
Yes, by the SAS postulate
b)
Yes, by the SSS postulate 
c)
Yes, by the AA postulate
d)
No, they are not similar 
26.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
27.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
28.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
29.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
30.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
31.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
32.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
33.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
34.
What is the correct choice for Reason 3?
a)
Vertical Angles are Congruent
b)
Definition of Congruence
c)
Given
d)
Reflexive Property
35.
What is the correct choice for Reason 4?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
36.

What is the correct choice for Statement 3?

a)

∆STU ≅ ∆UVT

b)

∆STU ≅ ∆VUT

c)

∆UTS ≅ ∆UTV

d)

∆TUS ≅ ∆UVT

37.
What additional information is required for the 2 triangles to be congruent by AAS?
a)
A
b)
B
c)
C
d)
D
38.

State what third congruence is required in order to know that the triangles are congruent by HL.

a)

segment DY ≅ segment CE

b)

segment YC ≅ segment ED

c)

∠Y ≅ ∠E

d)

∠YCD ≅ ∠ECD

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