Question

(I’ll give 10 points help meee) Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure

A*B'C D'E using a series of two different transformations. They give two different
answers.
Answer the questions to investigate ways to transform ABCDE.
Olivia finds a combination of two different transformations that moves ABCDE
onto A'B'C'D'E'. What is one way she might have done this?

Answer 1

Answer: One way that Olivia might have found a combination of two transformations to move figure ABCDE onto figure A'B'C'D'E' is by using a combination of translations and rotations.

A translation is a type of transformation that moves a figure a certain distance in a specified direction, without changing its size or orientation. A rotation is a type of transformation that turns a figure about a fixed point, called the center of rotation, by a certain angle.

Olivia might have first translated figure ABCDE to a new location and then rotated it about a point to match the orientation of A'B'C'D'E'. For example, she could have translated figure ABCDE so that one vertex coincides with a corresponding vertex in A'B'C'D'E', and then rotated it about that common vertex so that the sides match up.

Alternatively, Olivia might have first rotated figure ABCDE to a new orientation and then translated it to the final position. The sequence of transformations could have been different, but the end result would still be figure ABCDE matching the orientation and position of A'B'C'D'E'.

Explanation: