Scale of the Solar System

ID: sipan-buhoj
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Created by Illustrative MathIllustrative Math
Subject: Geometry
Grade: 9-12
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8 questions

Scale of the Solar System

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Problem 1

1) Figure GG' is the image of figure GG by a dilation with scale factor 2. Where is the center of this dilation?

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a) Point A\text{Point } A b) Point B\text{Point } B c) Point C\text{Point } C d) Point D\text{Point } D
Problem 2

2) Dilate quadrilateral ABCDABCD using center AA and scale factor 12\frac{1}{2}.

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Problem 3

3) Triangle ABCABC is dilated. The image is ABCA'B'C'. Find the value of xx.

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Problem 4

4) Polygon QQ is a scaled copy of Polygon PP. The value of xx is 6. What is the value of yy?

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a) 72 \frac{7}{2} b) 4\text{4}c) 92 \frac{9}{2} d) 5\text{5}
Problem 5

Solve each equation.

5) 25=x20\frac{2}{5} = \frac{x}{20}

6) 23=x10\frac{2}{3} = \frac{x}{10}

Problem 6

7) WXYZWXYZ is a kite. Angle WXYWXY has a measure of 94 degrees and angle ZYXZYX has a measure of 60 degrees. Find the measure of angle ZWYZWY.

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Problem 7

8) The semaphore alphabet is a way to use flags to signal messages. Here's how to signal the letter U. Describe a transformation that would take the right hand flag to the left hand flag.

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