Question

1. error analysis taylor says abcd and efgh are congruent because he can map abcd to efgh by multiplying each side length by 1.5 and translating the result to coincide with efgh. what is taylors error? enter your answer. check answer

Explanation:

Step1: Recall congruence definition

Congruent figures have equal side - lengths and angles.

Step2: Analyze Taylor's transformation

Multiplying side - lengths by 1.5 is a dilation. Dilation changes the size of the figure. After dilation, the side - lengths of ABCD will not be equal to those of EFGH. Only rigid motions (translations, rotations, reflections) preserve congruence.

Answer:

Taylor's error is that multiplying each side length by 1.5 is a dilation, which changes the size of the figure, and congruent figures must have equal side - lengths. So ABCD and EFGH are not congruent after dilation and translation.