Use rectangular grid paper as you work the following question. If the origin, O, is the projection point, determine the image of the triangle using a scale factor of 2. Determine the image coordinates of the three vertices of the triangle. 0 (6,8) (2,6) (10, 2) a. The image of the vertex (2, 6) has coordinates ([ b. The image of the vertex (10, 2) has coordinates c. The image of the vertex (6, 8) has coordinates

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Instruction for Students:**

Use rectangular grid paper as you work on the following question.

**Question:**

If the origin, \( O \), is the projection point, determine the image of the triangle using a scale factor of 2. Determine the image coordinates of the three vertices of the triangle.

**Diagram Explanation:**

The diagram contains a grid with three labeled points representing the vertices of a triangle:

1. Point \( (2, 6) \)
2. Point \( (10, 2) \)
3. Point \( (6, 8) \)

The origin \( O \) is at the coordinate \( (0, 0) \). Lines are drawn from the origin to each vertex of the triangle.

**Tasks to Complete:**

a. The image of the vertex \( (2, 6) \) has coordinates \( ( \_\_\_ , \_\_\_ ) \).

b. The image of the vertex \( (10, 2) \) has coordinates \( ( \_\_\_ , \_\_\_ ) \).

c. The image of the vertex \( (6, 8) \) has coordinates \( ( \_\_\_ , \_\_\_ ) \).

**Instructions:**

For each vertex, multiply the original coordinates by the scale factor of 2 to find the new coordinates. 

For example, for vertex \( (2, 6) \):
- Multiply \( 2 \) by \( 2 \) to get the new x-coordinate.
- Multiply \( 6 \) by \( 2 \) to get the new y-coordinate.

Repeat this process for the other vertices.
Transcribed Image Text:**Instruction for Students:** Use rectangular grid paper as you work on the following question. **Question:** If the origin, \( O \), is the projection point, determine the image of the triangle using a scale factor of 2. Determine the image coordinates of the three vertices of the triangle. **Diagram Explanation:** The diagram contains a grid with three labeled points representing the vertices of a triangle: 1. Point \( (2, 6) \) 2. Point \( (10, 2) \) 3. Point \( (6, 8) \) The origin \( O \) is at the coordinate \( (0, 0) \). Lines are drawn from the origin to each vertex of the triangle. **Tasks to Complete:** a. The image of the vertex \( (2, 6) \) has coordinates \( ( \_\_\_ , \_\_\_ ) \). b. The image of the vertex \( (10, 2) \) has coordinates \( ( \_\_\_ , \_\_\_ ) \). c. The image of the vertex \( (6, 8) \) has coordinates \( ( \_\_\_ , \_\_\_ ) \). **Instructions:** For each vertex, multiply the original coordinates by the scale factor of 2 to find the new coordinates. For example, for vertex \( (2, 6) \): - Multiply \( 2 \) by \( 2 \) to get the new x-coordinate. - Multiply \( 6 \) by \( 2 \) to get the new y-coordinate. Repeat this process for the other vertices.
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