## Dilation and Finding Vertices### Problem StatementUse the graph on the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of $ \frac{1}{4} $.### Tasks1. $ D_{\frac{1}{4}}(Q) = Q' = \left( -\frac{3}{4}, \frac{1}{4} \right) $ (Type an ordered pair. Simplify your answer.)2. $ D_{\frac{1}{4}}(R) = R' = $ [Enter an ordered pair. Simplify your answer.]### InstructionsEnter your answer in the answer box and then click Check Answer.#### Interface- Progress Indicator: - **2 parts remaining** - **Input Interface**: - Clear All button - Check Answer button #### Additional Details- A horizontal progress bar depicts the number of parts completed and remaining.- Interface includes options for clearing answers and checking them.- It appears on a digital interface with typical browser elements like tabs for different applications (e.g., Chrome, Gmail).### Notes on DilationWhen performing a dilation with center (0,0) and a scale factor of $ \frac{1}{4} $:- Multiply each coordinate of the vertex by $ \frac{1}{4} $ to find the new coordinates (Q', R').### Example CalculationFor a point Q(-3, 1):\[ Q' = \left( \frac{-3}{4}, \frac{1}{4} \right) = \left( -\frac{3}{4}, \frac{1}{4} \right) \]Repeat this process for the other vertices to complete the dilation transformation.

From the graph, the vertex R is given by (-2,-1). Since the center of dilation is at origin i.e.…

Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of D1 (Q)=Q'- 4 (Type an ordered pair. Simplify your answer.) D, (R) =R (Type an ordered pair. Simplify your answer.) 1/4

Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of D1 (Q)=Q'- 4 (Type an ordered pair. Simplify your answer.) D, (R) =R (Type an ordered pair. Simplify your answer.) 1/4

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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## Dilation and Finding Vertices

### Problem Statement
Use the graph on the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of $ \frac{1}{4} $.

### Tasks
1. $ D_{\frac{1}{4}}(Q) = Q' = \left( -\frac{3}{4}, \frac{1}{4} \right) $ (Type an ordered pair. Simplify your answer.)
2. $ D_{\frac{1}{4}}(R) = R' = $ [Enter an ordered pair. Simplify your answer.]

### Instructions
Enter your answer in the answer box and then click Check Answer.

#### Interface
- Progress Indicator:
- **2 parts remaining**

- **Input Interface**:
- Clear All button
- Check Answer button

#### Additional Details
- A horizontal progress bar depicts the number of parts completed and remaining.
- Interface includes options for clearing answers and checking them.
- It appears on a digital interface with typical browser elements like tabs for different applications (e.g., Chrome, Gmail).

### Notes on Dilation
When performing a dilation with center (0,0) and a scale factor of $ \frac{1}{4} $:
- Multiply each coordinate of the vertex by $ \frac{1}{4} $ to find the new coordinates (Q', R').

### Example Calculation
For a point Q(-3, 1):
\[ Q' = \left( \frac{-3}{4}, \frac{1}{4} \right) = \left( -\frac{3}{4}, \frac{1}{4} \right) \]

Repeat this process for the other vertices to complete the dilation transformation.

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