In the diagram below, \triangle{ABC}\sim\triangle{LMN}. Use these similar triangles to answer the next 4 questions.
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Question 1
1.
What is the first line of congruent angles? Write your answer as ___,___
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Question 2
2.
What is the second line of congruent angles? Write your answer as ___,___
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Question 3
3.
What is the third line of congruent angles? Write your answer as ___,___
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In the diagram below, DEFG ~ PQRS. Use these similar figures to answer the next 5 questions.
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Question 5
5.
What is the first line of congruent angles? Write your answer as ___,___
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Question 6
6.
What is the second line of congruent angles? Write your answer as ___,___
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Question 7
7.
What is the third line of congruent angles? Write your answer as ___,___
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Use the diagram below for the next 3 questions. Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor. If they are not similar, write "None" for each answer.
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Question 10
10.
Are the figures similar?
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Use the diagram below for the next 3 questions. Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor. If they are not similar, write "None" for each answer.
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Question 13
13.
Are the figures similar?
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Use the diagram below for the next 6 questions.
EFGH ~ JKLM
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Question 16
16.
Find the scale factor from EFGH to JKLM.
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Question 22
22.
Two similar "For Sale" signs have a scale factor of 5:3. The large sign's perimeter is 60 inches. Find the small sign's perimeter.
Use the diagram below for the next 4 questions.
\triangle{XYZ}\sim\triangle{MNP}
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Question 23
23.
Find the scale factor from XYZ to MNP.
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Question 24
24.
Find the length of XY.
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Use the diagram below for the next 2 questions.
\triangle{DEF}\sim\triangle{RST}
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Question 27
27.
Find the value of x.
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Question 28
28.
Find the value of y.
For the next 3 questions, corresponding lengths in similar figures are given. Using the ratios of the perimeters and the areas, find the unknown area.
Question 29
29.
Question 30
30.
Question 31
31.
For the next 2 questions, use the given area to find the length of XY.
Question 32
32.
Question 33
33.
Question 4
4.
Using the fraction button and the equal sign, complete the side length proportion at the bottom of the image.
Question 8
8.
What is the fourth line of congruent angles? Write your answer as ___,___
Question 9
9.
Using the fraction button and the equal sign, complete the side length proportion at the bottom of the image.
Question 11
11.
Similar Statement:
Question 12
12.
Scale Factor:
Question 14
14.
Similar Statement:
Question 15
15.
Scale Factor:
Question 17
17.
Find the value of x.
Question 18
18.
Find the value of y.
Question 19
19.
Find the value of z.
Question 20
20.
Find the perimeter of EFGH.
Question 21
21.
Find the perimeter of JKLM.
Question 25
25.
Find the length of PN.
Question 26
26.
Find the length of the altitude shown in \triangle{XYZ}.