Practice Page
Directions: Read carefully!

1.
Given straight lines from D to B and from A to E.
Which of the following Similarity Theorems could be used to prove that ΔCED is similar to ΔCAB?

Choose:
AA
SAS
SSS
not similar

 

 

2.
Given: ΔABC, ∠ACB ∠AED. Which of the following Similarity Theorems verifies that ΔACB is similar to ΔAED?
Choose:
SSS
SAS
ASA
AA
 

 

 

3.
Given the medians of ΔABC intersecting at the centroid, as shown. Which of the choices must ALWAYS be true?
 Choose:
AD = 2 (DP)
CD = BD
CP = 3 (DP)
AN = 2 (DN)

 

 

4.
A triangle is dilated by a scale factor of 4 with the center of dilation at point O. Which statement is true?
Choose:
The measure of each angle in the image is 4 times the measure of the corresponding angles in the starting triangle.
The perimeter of the image is 12 times the perimeter of the starting triangle.
The area of the image is 16 times the area of the starting triangle.
The area of the image is 4 times the area of the starting triangle.

 

 

5.
The two triangles seen in this diagram are similar. What is the length labeled x?

Choose:
12
13.5
14
15

 

 

6.
a) If ΔRST is similar to ΔABC, what Similarity Theorem was used to verify the similarity?
 Choose:
SSS
SAS
AA
not similar
  b) The scale factor for the triangles is 1 : 2. Given AC = 4,
RT = 2x + 3, BC = y - 4 and ST = 12. Find x and y.
Choose:
x = 2.5 and y = 10
x = 6 and y = 8
x = 8 and y = 6
x = 10 and y = 2.5

 

 

7.
Given the medians of ΔABC intersecting at the centroid, as shown. If AD = 2(2x + 3) and
DN = 3x - 2, find the length AD.

Choose:
5
8
26
38

 

 

8.
Which of the choices will NOT prove that ΔABC is similar to ΔDEF?
 Choose:
∠A ∠D and ∠B ∠E

 

 

9.
A statue is 10 feet tall and casts a shadow that is 15 feet long. What is the length of the shadow cast by a 15 feet pole at the same time?

Choose:
10 feet
20 feet
22.5 feet
25 feet

 

 

10.
Which additional information would NOT be sufficient to verify that these two triangles are similar?
Choose:
∠B ∠E
∠A ∠D

 

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