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Trapezoid A' B'C'D was created by dilating trapezoid ABCD using D as the center of dilation. C' C ÿ B A D = D' 1. What was the scale factor of the dilation? 2. Based on the scale factor, how many copies of ABCD, including the original, should fit inside A' B'C" D? 3. How can you see your answer to these questions in the diagram? B' P A

Trapezoid A' B'C'D was created by dilating trapezoid ABCD using D as the center of dilation. C' C ÿ B A D = D' 1. What was the scale factor of the dilation? 2. Based on the scale factor, how many copies of ABCD, including the original, should fit inside A' B'C" D? 3. How can you see your answer to these questions in the diagram? B' P A

Elementary Geometry For College Students, 7e
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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The diagram shows trapezoid \( A'B'C'D' \) created by dilating trapezoid \( ABCD \) using point \( D \) (which equals \( D' \)) as the center of dilation. The dilation process results in the creation of a larger trapezoid. In the grid-based diagram, the trapezoid \( ABCD \) is highlighted in blue, and the dilated trapezoid \( A'B'C'D' \) includes additional regions filled by trapezoids \( P \) and \( Q \) which are shaded in orange. The overall structure appears as a grid of smaller squares. The main questions posed with the diagram are: 1. What was the scale factor of the dilation? 2. Based on the scale factor, how many copies of \( ABCD \), including the original, should fit inside \( A'B'C'D' \)? 3. How can you see your answer to these questions in the diagram? The geometric configuration illustrates the concept of dilation and how a shape can be expanded from a point by a specific scale factor, increasing the area of the resulting shape.
Transcribed Image Text:The diagram shows trapezoid \( A'B'C'D' \) created by dilating trapezoid \( ABCD \) using point \( D \) (which equals \( D' \)) as the center of dilation. The dilation process results in the creation of a larger trapezoid. In the grid-based diagram, the trapezoid \( ABCD \) is highlighted in blue, and the dilated trapezoid \( A'B'C'D' \) includes additional regions filled by trapezoids \( P \) and \( Q \) which are shaded in orange. The overall structure appears as a grid of smaller squares. The main questions posed with the diagram are: 1. What was the scale factor of the dilation? 2. Based on the scale factor, how many copies of \( ABCD \), including the original, should fit inside \( A'B'C'D' \)? 3. How can you see your answer to these questions in the diagram? The geometric configuration illustrates the concept of dilation and how a shape can be expanded from a point by a specific scale factor, increasing the area of the resulting shape.
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