**Directions:** On each graph, one figure is a dilation of the other. Find the scale factor of each dilation and classify it as an enlargement or a reduction.1) **Graph 1 Description:** - Two squares on a coordinate plane: a smaller blue square labeled ABCD and a larger green square labeled A'B'C'D'. - The larger square (A'B'C'D') appears to be a dilation of the smaller square (ABCD). - Calculate the scale factor and determine if it is an enlargement or reduction.2) **Graph 2 Description:** - Two parallelograms on a coordinate plane: a smaller blue parallelogram labeled ABCD and a larger green parallelogram labeled A'B'C'D'. - The larger parallelogram (A'B'C'D') appears to be a dilation of the smaller parallelogram (ABCD). - Calculate the scale factor and determine if it is an enlargement or reduction.3) **Graph 3 Description:** - Two pentagons on a coordinate plane: a smaller green pentagon labeled A'B'C'D'E' and a larger blue pentagon labeled ABCDE. - The larger pentagon (ABCDE) appears to be a dilation of the smaller pentagon (A'B'C'D'E'). - Calculate the scale factor and determine if it is an enlargement or reduction.For each graph, ensure you compare corresponding side lengths or use grid measurements to find the scale factor.

(1) we write the coordinates of vertex and then we find scale factor The coordinates of A(2,1)…

Answered: Directions: On each graph, one figure…

Directions: On each graph, one figure is a dilation of the other. Find the scale factor of each dilation and classify it as an enlargement or as a reduction.

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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Question

**Directions:** On each graph, one figure is a dilation of the other. Find the scale factor of each dilation and classify it as an enlargement or a reduction.

1) **Graph 1 Description:**
- Two squares on a coordinate plane: a smaller blue square labeled ABCD and a larger green square labeled A'B'C'D'.
- The larger square (A'B'C'D') appears to be a dilation of the smaller square (ABCD).
- Calculate the scale factor and determine if it is an enlargement or reduction.

2) **Graph 2 Description:**
- Two parallelograms on a coordinate plane: a smaller blue parallelogram labeled ABCD and a larger green parallelogram labeled A'B'C'D'.
- The larger parallelogram (A'B'C'D') appears to be a dilation of the smaller parallelogram (ABCD).
- Calculate the scale factor and determine if it is an enlargement or reduction.

3) **Graph 3 Description:**
- Two pentagons on a coordinate plane: a smaller green pentagon labeled A'B'C'D'E' and a larger blue pentagon labeled ABCDE.
- The larger pentagon (ABCDE) appears to be a dilation of the smaller pentagon (A'B'C'D'E').
- Calculate the scale factor and determine if it is an enlargement or reduction.

For each graph, ensure you compare corresponding side lengths or use grid measurements to find the scale factor.

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