Dionne draws triangle T and its dilation, triangle T', as shown. What scale factor did Dionne use?

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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**Triangle Dilation Exercise**

Dionne draws triangle \( T \) and its dilation, triangle \( T' \), as shown in the diagram. The diagram features two overlapping triangles on a grid. Triangle \( T' \) is the larger one and triangle \( T \) is the smaller one, both sharing a vertex.

**Question:**
What scale factor did Dionne use?

**Options:**
- \( \frac{1}{2} \)
- \( \frac{2}{3} \)
- \( \frac{3}{2} \)
- \( 2 \)
Transcribed Image Text:**Triangle Dilation Exercise** Dionne draws triangle \( T \) and its dilation, triangle \( T' \), as shown in the diagram. The diagram features two overlapping triangles on a grid. Triangle \( T' \) is the larger one and triangle \( T \) is the smaller one, both sharing a vertex. **Question:** What scale factor did Dionne use? **Options:** - \( \frac{1}{2} \) - \( \frac{2}{3} \) - \( \frac{3}{2} \) - \( 2 \)
**Dilations of Triangles on a Grid**

Dionne draws triangle \( T \) and its dilation, triangle \( T' \), as shown.

*Diagram Explanation:*

The image shows two triangles on a grid. Triangle \( T \) is smaller, and triangle \( T' \) is larger, indicating a dilation transformation. Both triangles are similar, meaning they have the same shape but different sizes.

*Question:*

What scale factor did Dionne use?

1. \( \frac{1}{2} \)
2. \( \frac{2}{3} \)
3. \( \frac{3}{2} \)
4. 2

Select the correct scale factor that transforms triangle \( T \) into triangle \( T' \).

*Notes for Students:*

When identifying the scale factor of a dilation, observe how many times larger or smaller the new shape is compared to the original. The scale factor is the ratio of any corresponding side of the image to the pre-image.
Transcribed Image Text:**Dilations of Triangles on a Grid** Dionne draws triangle \( T \) and its dilation, triangle \( T' \), as shown. *Diagram Explanation:* The image shows two triangles on a grid. Triangle \( T \) is smaller, and triangle \( T' \) is larger, indicating a dilation transformation. Both triangles are similar, meaning they have the same shape but different sizes. *Question:* What scale factor did Dionne use? 1. \( \frac{1}{2} \) 2. \( \frac{2}{3} \) 3. \( \frac{3}{2} \) 4. 2 Select the correct scale factor that transforms triangle \( T \) into triangle \( T' \). *Notes for Students:* When identifying the scale factor of a dilation, observe how many times larger or smaller the new shape is compared to the original. The scale factor is the ratio of any corresponding side of the image to the pre-image.
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