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Q3 Geometry Final Exam

Total questions: 25

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

If your SF = 2.5, what type of dilation is it?

a)

Reduction

b)

Enlargement

2.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

3.

If your SF=0.6, what type of dilation is it?

a)

enlargement

b)

reflection

c)

translation

d)

reduction

4.
What is the scale factor if the triangle on the left is the original?
a)
2
b)
3/2
c)
2/3
d)
1/2
5.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
6.
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?
a)
(-5, 5)
b)
(5, -5)
c)
(5, 10)
d)
(7.5, -2.5)
7.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
8.
Find the missing side length. 
a)
9
b)
8
c)
6
d)
12
9.

A tree casts a shadow of 3 meters, while a meter stick casts a shadow of 0.75 meters. How tall is the tree?

a)

6 meters

b)

5 meters

c)

4 meters

d)

3 meters

10.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
11.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
12.

Are these two triangles similar? If so, how?

a)

Yes, AA ∼

b)

Yes, SAS ∼

c)

Yes, SSS ∼

d)

No

13.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
14.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
15.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
16.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
17.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA~

b)

SSS~

c)

SAS~

d)

Not similar

18.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

19.

Solve for x (Remember to distribute for these types of questions!)

a)

1/2

b)

25/8

c)

11

d)

53/4

20.
Solve the proportion
a)
x = 3
b)
x = -3
c)
x = 1
d)
x = -1
21.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
22.

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.

a)

G' (5,3)

b)

G' (20,12)

c)

G' (-20,-12)

d)

G' (-5,-3)

23.
Dilate the figure by a scale factor of 1/3 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)
24.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
25.

Solve for x

34=x8\frac{3}{4}=\frac{x}{8}  

(a)