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Mathematics

14 December, 18:33

Sarah writes a proof to show that the congruent triangles MBC and Mechave corresponding sides of equal length. Her proof is shown below.

There exists a series of transformations that carries MBC onto M'B'C' because they are congruent.

All transformations carry line segments onto line segments of the same length

Therefore, the corresponding sides of the two triangles are the same length,

Sarah's teacher says she needs to be specific about what kind of transformations she means. Which of the following should Sarah use instead of the word "transformations" in her proof?

O

A.

dilations, reflections, and rotations

O

B.

reflections, dilations, and translations

O

c

rotations, translations, and dilations

O

D. translations, reflections, and rotations