If a right triangle DEF is dilated by a scale factor of 2, which of the following statements is not true?A.The sides of DEF are congruent to the sides ofD'E'F'.B.DEF is similar to D'E'F'.C.The angles of DEF are congruent to the angles ofD'E'F'.D.D'E'F' is larger than DEF.SUBMITarrow_backPREVIOUS
Question
If a right triangle DEF is dilated by a scale factor of 2, which of the following statements is not true?A.The sides of DEF are congruent to the sides ofD'E'F'.B.DEF is similar to D'E'F'.C.The angles of DEF are congruent to the angles ofD'E'F'.D.D'E'F' is larger than DEF.SUBMITarrow_backPREVIOUS
Solution
The statement that is not true is A. The sides of DEF are congruent to the sides of D'E'F'.
Here's why:
A. The sides of DEF are congruent to the sides of D'E'F'. This is not true because when a figure is dilated, the lengths of the sides change by the scale factor. In this case, the sides of D'E'F' would be twice as long as the sides of DEF, so they are not congruent.
B. DEF is similar to D'E'F'. This is true because dilation preserves the shape of a figure, making the original and the dilated figures similar.
C. The angles of DEF are congruent to the angles of D'E'F'. This is true because dilation does not change the measures of the angles.
D. D'E'F' is larger than DEF. This is true because the scale factor is greater than 1, which means the dilated figure is larger than the original.
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