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Shape A is congruent to shape ___ because a 180° rotation about the origin and then a translation ___ unit(s) right maps shape A onto it.

Shape B is congruent to shape ___ because a 90° clockwise rotation about the origin and then a translation ___ unit(s) left maps shape B onto it.

User Xoofx
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Final answer:

In the given questions, the blanks would represent the shape that precisely aligns with shape A or B following the specified transformation (rotation and translation), and the number of units translated respectively. For example, if after a 180° rotation and a rightward translation of 2 units, Shape A aligns with Shape C, then 'C' and '2' would fill the blanks in the first question.

Step-by-step explanation:

In geometry, congruence is a term used to describe two figures that are the same shape and size. The blanks in your question, 'Shape A is congruent to shape ___ because a 180° rotation about the origin and then a translation ___ unit(s) right maps shape A onto it' and 'Shape B is congruent to shape ___ because a 90° clockwise rotation about the origin and then a translation ___ unit(s) left maps shape B onto it', would be filled with the letter representing the shape that matches Shape A or Shape B respectively after the mentioned transformation. For instance, if a 180° rotation and a right translation of 2 units maps Shape A onto Shape C, then the first blank would be filled with 'C' and second with '2'. Similarly, if a 90° clockwise rotation and a left translation of 3 units maps Shape B onto Shape D, then the blanks in the second sentence would be filled with 'D' and '3' in that order.

Learn more about Congruent Shapes

User Mohamed Hassan
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