4. Equilateral triangle JKL can be mapped onto the equilateral triangle RST by a dilation about the origin. 10 64 to What is the scale factor of the dilation? A. 9 В. 8 С. 4 D. 3

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Question 4

### Problem Statement:
Equilateral triangle \(JKL\) can be mapped onto the equilateral triangle \(RST\) by a dilation about the origin.

### Question:
What is the scale factor of the dilation?

### Options:
- A. 9
- B. 8
- C. 4  **(Selected Option)**
- D. 3

### Graph Explanation:
The accompanying graph is a coordinate plane with labeled points representing equilateral triangles \(JKL\) and \(RST\).

- The coordinate plane has an x-axis ranging from \(-10\) to \(10\) and a y-axis ranging from \(-10\) to \(10\).
  
- Triangle \(L\) has vertices at points:
  - \(J (0, 2)\)
  - \(K (2, 2)\)
  - \(L (1, -1)\)
  
- Triangle \(RST\) has vertices at points:
  - \(R (0, 8)\)
  - \(S (8, 8)\)
  - \(T (4, -4)\)

The points indicate that triangle \(RST\) is a larger, scaled version of triangle \(JKL\). The correct scale factor is provided by the ratio of corresponding distances from the origin to a point from each pair of vertices.
Transcribed Image Text:### Problem Statement: Equilateral triangle \(JKL\) can be mapped onto the equilateral triangle \(RST\) by a dilation about the origin. ### Question: What is the scale factor of the dilation? ### Options: - A. 9 - B. 8 - C. 4 **(Selected Option)** - D. 3 ### Graph Explanation: The accompanying graph is a coordinate plane with labeled points representing equilateral triangles \(JKL\) and \(RST\). - The coordinate plane has an x-axis ranging from \(-10\) to \(10\) and a y-axis ranging from \(-10\) to \(10\). - Triangle \(L\) has vertices at points: - \(J (0, 2)\) - \(K (2, 2)\) - \(L (1, -1)\) - Triangle \(RST\) has vertices at points: - \(R (0, 8)\) - \(S (8, 8)\) - \(T (4, -4)\) The points indicate that triangle \(RST\) is a larger, scaled version of triangle \(JKL\). The correct scale factor is provided by the ratio of corresponding distances from the origin to a point from each pair of vertices.
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