Can you please correct the P values only and coordinates for questions #3-4 based off of question #1 Answer of P' (-1,0) values and coordinates answer only. ### Transformation of Quadrilateral PQRS**Instructions:**1. **Translate PQRS** Apply the translation (x, y) → (x-2, y+1) to quadrilateral PQRS, and label the new image as P'Q'R'S'.2. **Reflect P'Q'R'S'** Reflect the translated image P'Q'R'S' across the x-axis, and label the result as P"Q"R"S".3. **Translate P"Q"R"S"** Apply the translation (x, y) → (x-5, y-3) to the reflected image P"Q"R"S", and label this image as P‴Q‴R‴S‴.4. **Rotate P‴Q‴R‴S‴** Rotate the translated and reflected image P‴Q‴R‴S‴ by 270° counterclockwise, and label the final image as P‴‴Q‴‴R‴‴S‴‴.**Graph Explanation:**- The graph displays a coordinate plane with the x-axis and y-axis both ranging from -8 to 8.- Quadrilateral PQRS is plotted on this graph with vertices P, Q, R, and S.- The quadrilateral is positioned approximately in the first quadrant initially.- Vertices are labeled with their respective letters on the graph, and lines connect the points to form the shape of a quadrilateral.This activity involves multiple transformations, including translation, reflection, and rotation, illustrating how these operations affect the position and orientation of geometric figures on a coordinate plane. # Transformations in the Coordinate Plane## (3) Translation### Translation of Points P‴, Q‴, R‴, S‴The translation process for moving a set of points \((x, y)\) involves shifting the x-coordinate by -5 and the y-coordinate by -3, leading to new coordinates \((x-5, y-3)\).**Original to Translated Points:**- \( P″ (-1, -2) \rightarrow P‴ (-6, -5) \)- \( Q″ (1, -3) \rightarrow Q‴ (-4, -6) \)- \( R″ (2, -2) \rightarrow R‴ (-3, -5) \)- \( S″ (3, 2) \rightarrow S‴ (-2, -1) \)### Diagram Explanation:The diagram shows the translated points P‴, Q‴, R‴, and S‴ plotted on a coordinate plane. Arrows indicate the direction of translation from the original coordinates.## (4) Rotation### Rotation of Points P‴, Q‴, R‴, S‴ by 270°To rotate points \((x, y)\) by 270° counterclockwise, transform each point to \((y, -x)\).**Original to Rotated Points:**- \( P‴ (-6, -5) \rightarrow P⁗ (-5, 6) \)- \( Q‴ (-4, -6) \rightarrow Q⁗ (-6, 4) \)- \( R‴ (-3, -5) \rightarrow R⁗ (-5, 3) \)- \( S‴ (-2, -1) \rightarrow S⁗ (-1, 2) \)### Diagram Explanation:The second diagram shows the rotated points P⁗, Q⁗, R⁗, and S⁗ on the coordinate plane. The rotation is indicated with lines connecting the sequential points, illustrating the transformation.

Answered: Can you please correct the P values…

Can you please correct the P values only and coordinates for questions #3-4 based off of question #1 Answer of P' (-1,0) values and coordinates answer only.

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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Can you please correct the P values only and coordinates for questions #3-4 based off of question #1 Answer of P' (-1,0) values and coordinates answer only.

### Transformation of Quadrilateral PQRS

**Instructions:**

1. **Translate PQRS**
Apply the translation (x, y) → (x-2, y+1) to quadrilateral PQRS, and label the new image as P'Q'R'S'.

2. **Reflect P'Q'R'S'**
Reflect the translated image P'Q'R'S' across the x-axis, and label the result as P"Q"R"S".

3. **Translate P"Q"R"S"**
Apply the translation (x, y) → (x-5, y-3) to the reflected image P"Q"R"S", and label this image as P‴Q‴R‴S‴.

4. **Rotate P‴Q‴R‴S‴**
Rotate the translated and reflected image P‴Q‴R‴S‴ by 270° counterclockwise, and label the final image as P‴‴Q‴‴R‴‴S‴‴.

**Graph Explanation:**

- The graph displays a coordinate plane with the x-axis and y-axis both ranging from -8 to 8.
- Quadrilateral PQRS is plotted on this graph with vertices P, Q, R, and S.
- The quadrilateral is positioned approximately in the first quadrant initially.
- Vertices are labeled with their respective letters on the graph, and lines connect the points to form the shape of a quadrilateral.

This activity involves multiple transformations, including translation, reflection, and rotation, illustrating how these operations affect the position and orientation of geometric figures on a coordinate plane.

# Transformations in the Coordinate Plane

## (3) Translation

### Translation of Points P‴, Q‴, R‴, S‴

The translation process for moving a set of points \((x, y)\) involves shifting the x-coordinate by -5 and the y-coordinate by -3, leading to new coordinates \((x-5, y-3)\).

**Original to Translated Points:**

- \( P″ (-1, -2) \rightarrow P‴ (-6, -5) \)
- \( Q″ (1, -3) \rightarrow Q‴ (-4, -6) \)
- \( R″ (2, -2) \rightarrow R‴ (-3, -5) \)
- \( S″ (3, 2) \rightarrow S‴ (-2, -1) \)

### Diagram Explanation:

The diagram shows the translated points P‴, Q‴, R‴, and S‴ plotted on a coordinate plane. Arrows indicate the direction of translation from the original coordinates.

## (4) Rotation

### Rotation of Points P‴, Q‴, R‴, S‴ by 270°

To rotate points \((x, y)\) by 270° counterclockwise, transform each point to \((y, -x)\).

**Original to Rotated Points:**

- \( P‴ (-6, -5) \rightarrow P⁗ (-5, 6) \)
- \( Q‴ (-4, -6) \rightarrow Q⁗ (-6, 4) \)
- \( R‴ (-3, -5) \rightarrow R⁗ (-5, 3) \)
- \( S‴ (-2, -1) \rightarrow S⁗ (-1, 2) \)

### Diagram Explanation:

The second diagram shows the rotated points P⁗, Q⁗, R⁗, and S⁗ on the coordinate plane. The rotation is indicated with lines connecting the sequential points, illustrating the transformation.

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