6.2 Worksheet

Last updated over 3 years ago
33 questions
In the diagram below, \triangle{ABC}\sim\triangle{LMN}. Use these similar triangles to answer the next 4 questions.
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What is the first line of congruent angles? Write your answer as ___,___

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What is the second line of congruent angles? Write your answer as ___,___

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What is the third line of congruent angles? Write your answer as ___,___

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Using the fraction button and the equal sign, complete the side length proportion at the bottom of the image.

In the diagram below, DEFG ~ PQRS. Use these similar figures to answer the next 5 questions.
1

What is the first line of congruent angles? Write your answer as ___,___

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What is the second line of congruent angles? Write your answer as ___,___

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What is the third line of congruent angles? Write your answer as ___,___

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What is the fourth line of congruent angles? Write your answer as ___,___

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Using the fraction button and the equal sign, complete the side length proportion at the bottom of the image.

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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Are the figures similar?

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Similar Statement:

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Scale Factor:

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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Are the figures similar?

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Similar Statement:

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Scale Factor:

Use the diagram below for the next 6 questions.

EFGH ~ JKLM
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Find the scale factor from EFGH to JKLM.

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Find the value of x.

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Find the value of y.

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Find the value of z.

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Find the perimeter of EFGH.

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Find the perimeter of JKLM.

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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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Find the scale factor from XYZ to MNP.

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Find the length of XY.

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Find the length of PN.

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Find the length of the altitude shown in \triangle{XYZ}.

Use the diagram below for the next 2 questions.

\triangle{DEF}\sim\triangle{RST}
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Find the value of x.

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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.
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For the next 2 questions, use the given area to find the length of XY.
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