QUIZ: Similarity and Proportion
they have exactly the same size and shape. 
they have different size and shape. 
corresponding angles are congruent
corresponding angles are right angles
corresponding sides are proportional
corresponding sides are congruent
Two polygons are similar if
SELECT TWO THAT APPLY. 
SHOW WORK ON PAPER. 
Solve the proportion below. Solve for x. 
 x
10
round answer to the nearest tenth.  
x =
=
15
25
SHOW WORK ON PAPER. 
Solve the proportion below. Solve for x. 
1114
round answer to the nearest tenth. 
x =
=
 x21
SHOW WORK ON PAPER. 
Solve the proportion below. Solve for x. 
  5x -3
round answer to the nearest tenth. 
x =
=
10 x
SHOW WORK ON PAPER. 
Solve the proportion below. Solve for x. 
x + 9     6
round answer to the nearest tenth. 
x =
=
x + 5   4 
ABCD and  XYZW are not similar because
     the corresponding sides are not proportional
ABCD ~ XYZW 
ABCD ~ WXYZ
Similarity ratio is 18/35
 Similarity ratio is 3/5
Similarity ratio is 7/10
Are the polygons are similar? If they are, 
write a similarity statement and give the 
similarity ratio. If they are not, explain. 
HINT: Rotate the small rectangle. 
ABCD and  WXYZ are not similar because     the corresponding angles are not congruent. 
ABCD and  WXYZ are not similar because     the corresponding sides are not proportional
ABCD ~ WXYZ
 Similarity ratio is 3/4
Similarity ratio is 2/3
Similarity ratio is 1/2
Are the polygons are similar? If they are, 
write a similarity statement and give the 
similarity ratio. If they are not, explain. 
HINT: DO NOT Rotate any rectangle. 
AG =
48.7
56.7
68.2
29.8
69.4
46
78.1
97
Multiple Choice: 
46.8
15.8
47.6
57
51.6
52.8
87.4
19.8
Find the value of x. 
x = 
SHOW WORK ON PAPER. 
x = 
Find the value of x. 
SHOW WORK ON PAPER. 
x = 
Find the value of x and y. 
y =
∆QRS ~ ∆UVT because the corresponding angles are ≅ and         the corresponding sides are proportional. 
∆QRS not ~ to ∆UVT because the corresponding angles are  not ≅. 
∆QRS not ~ to ∆UVT because the corresponding sides are        not congruent
∆QRS not ~ to ∆UVT because the corresponding sides are        not proportional  

In QRS,  QR= 18, RS = 36, and mQ= 270.  

In UVT, UV = 24, UT = 42, and m∠U = 270.

Determine whether the triangles are similar. If they are,

 write the similarity statement. If not, explain.

HINT: SKETCH THE TRIANGLES AND LABEL EACH MEASURES.
∆QRS ~ ∆UVT because the corresponding angles are ≅ and         the corresponding sides are proportional. 
∆QRS not ~ to ∆UVT because the corresponding angles are  not ≅. 
∆QRS not ~ to ∆UVT because the corresponding sides are        not congruent
∆QRS not ~ to ∆UVT because the corresponding sides are        not proportional  

In QRS,  QR= 18, RS = 36, and mQ= 270.  

In UVT, UV = 24, UT = 48, and m∠V = 270.

Determine whether the triangles are similar. If they are,

 write the similarity statement. If not, explain.

HINT: SKETCH THE TRIANGLES AND LABEL EACH MEASURES.
∆QRS ~ ∆UVT because the corresponding angles are ≅ and         the corresponding sides are proportional. 
∆QRS not ~ to ∆UVT because the corresponding angles are  not ≅. 
∆QRS not ~ to ∆UVT because the corresponding sides are        not congruent
∆QRS not ~ to ∆UVT because the corresponding sides are        not proportional  

In QRS,  QR= 18, QS = 36, and mQ= 270.  

In UVT, UV = 24, UT = 48, and m∠U = 270.

Determine whether the triangles are similar. If they are,

 write the similarity statement. If not, explain.

HINT: SKETCH THE TRIANGLES AND LABEL EACH MEASURES.
The polygons in each pair are similar. Find the similarity ratio of the smaller figure to the larger figure. 
The polygons in each pair are similar. Find the similarity ratio of the smaller figure to the larger figure. 
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