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Often, there is more than one set of sequences that will take a preimage to an image. Determine one or two other sequences to create FGHIJ from ABCDE.

Often, there is more than one set of sequences that will take a preimage to an image-example-1

2 Answers

3 votes

Answer:

FGHIJ: Dilate ABCDE with respect to the origin by a scale factor of 0.5, and then rotate the image 180° clockwise about point (0, 2). Translate the image 1 unit down and 7 units to the right.

FGHIJ: Reflect ABCDE across the x-axis, and then reflect the image across the y-axis (or vice versa). Dilate the image with respect to the origin by a scale factor of 0.5. Translate the image 3 units up and 7 units to the right.

User Jfclavette
by
6.3k points
2 votes

Hello.

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).

A rotation translation must be used to make the two polygons coincide.

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D

Have a nice day

User JBB
by
7.2k points
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