# Scale of the Solar System

ID: sipan-buhoj
Illustrative Math
Subject: Geometry

8 questions

# Scale of the Solar System

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##### Problem 1

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

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

2) Dilate quadrilateral ﻿$ABCD$﻿ using center ﻿$A$﻿ and scale factor ﻿$\frac{1}{2}$﻿.

##### Problem 3

3) Triangle ﻿$ABC$﻿ is dilated. The image is ﻿$A'B'C'$﻿. Find the value of ﻿$x$﻿.

##### Problem 4

4) Polygon ﻿$Q$﻿ is a scaled copy of Polygon ﻿$P$﻿. The value of ﻿$x$﻿ is 6. What is the value of ﻿$y$﻿?

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

Solve each equation.

5) ﻿$\frac{2}{5} = \frac{x}{20}$﻿

6) ﻿$\frac{2}{3} = \frac{x}{10}$﻿

##### Problem 6

7) ﻿$WXYZ$﻿ is a kite. Angle ﻿$WXY$﻿ has a measure of 94 degrees and angle ﻿$ZYX$﻿ has a measure of 60 degrees. Find the measure of angle ﻿$ZWY$﻿.

##### 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.