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Question
5 for each pair of shapes, decide whether or not shape a is congruent to shape b. explain your reasoning.
a first pair.
b second pair.
reflect a
rotate a
translate a
more details!
Step1: Understand congruent shapes
Congruent shapes have the same size and shape.
Step2: Analyze the given shapes
By visual inspection (assuming proper scaling in the problem - context), if through reflection, rotation, and translation (rigid - motion transformations), Shape A can be made to overlap exactly with Shape B. Rigid - motion transformations (reflection, rotation, translation) do not change the size or shape of a figure.
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Shape A is congruent to Shape B. Because we can use a combination of reflection, rotation, and translation (rigid - motion transformations) to make Shape A overlap exactly with Shape B, and these transformations preserve the size and shape of the figure.