The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.Which statement correctly describes the relationship between △DEF and △D′E′F′ ? The triangles are not congruent because △D′E′F′ is a translation of △DEF , and a translation is not a rigid motion. The triangles are congruent because △D′E′F′ is a rotation of △DEF , and a rotation is a rigid motion. The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion. The triangles are congruent because △D′E′F′ is a reflection of △DEF , and a reflection is a rigid motion.
Question
Answer:
Answer:The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.
Step-by-step explanation:The rule we have is (x, y)→(2x, 2y). This means that each x-coordinate and each y-coordinate are multiplied by 2. This is a dilation by a factor of 2.This will stretch the image by a factor of 2; this means the sides will be twice as long. This means they will not be congruent.
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