Question

review the unit vocabulary. put a check mark by terms you can use in speaking and writing. look up the meaning of any terms you do not know.
math vocabulary
center of rotation
line of reflection
clockwise
congruent
reflection
countercloc
corresponding sides
rigid transformation
original
image
rotation
perform
use the unit vocabulary to complete the problems.
1 describe a possible sequence of transformations that maps figure abcde onto figure abcde. use at least two math or academic vocabulary terms in your answer. underline each term you use.

Explanation:

A possible sequence of transformations is a reflection over the \(y -\)axis (a line of reflection) followed by a rotation. When we reflect the figure over the \(y -\)axis, each point \((x,y)\) in the original figure \(ABCDE\) is mapped to \((-x,y)\). Then, we can perform a clockwise rotation (for example, a \(90^{\circ}\) clockwise rotation around the origin). A \(90^{\circ}\) clockwise rotation around the origin maps a point \((x,y)\) to \((y,-x)\). Rigid transformations (reflection and rotation are rigid transformations) preserve the shape and size of the figure, so the original figure \(ABCDE\) and its image \(A'B'C'D'E'\) are congruent.

Answer:

Reflect the original figure \(ABCDE\) over the \(\underline{line\ of\ reflection}\) (the \(y -\)axis). Then, \(\underline{perform}\) a \(90^{\circ}\) \(\underline{clockwise}\) rotation around the origin. The two figures are \(\underline{congruent}\) because reflection and rotation are \(\underline{rigid\ transformations}\).