Question

The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′. Which statement correctly describes the relationship between △DEF and △D′E′F′ ?

Answer 1

Answer: B. 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:

Given : The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.

We can see that a scale factor (2) is used in the above rule.

Rigid motions do not use any scale factor.

The transformation that uses scale factor to transforms figure is dilation.

And Dilation is not rigid motion because it does not produce congruent images.

Hence,  The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Answer 2

I think it would be C. Hope this helps. Good luck.
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