Question

A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.

Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.

(Choose 3 Choices)

Question 1 options:

A.a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2


B.a dilation by a scale factor of 2 and then a reflection across the y-axis


C.a clockwise rotation of 90 degrees and then a reflection across the y-axis


D.a translation 5 units down and then a dilation by a scale factor of 2


E.a translation 5 units down and then clockwise rotation of 90 degrees.


F.a reflection across y-axis and then translation 5 units down

Answer 1

Answer:

A, C, and E

Step-by-step explanation:

for a shape to be congruent it must be the same size and shape so

• A would be correct because it only changes the position of the shape.
• B would be incorrect for it is dilated which changes its shape.
• C is correct because it also only changes the position.
• D is incorrect because it dilates the shape which changes the size.
• E would be the last correct answer because it keeps the size and shape and only changes the position.

Thus your answer is A, C, and E

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