Question

practice describing single rigid transformations in the coordinate plane
study the example showing how to describe a single rigid transformation in the coordinate plane. then solve problems 1 - 4.
example
alo used a single transformation to map figure a onto its image a. what is one way alo could have mapped figure a onto figure a?
alo could have translated figure a 8 units up to map figure a onto figure a.

1. a. describe another single transformation that maps figure a onto figure a in the example.

b. what is a transformation that would not map figure a onto figure a? explain.

1. sarah uses a digital art program to draw figure y and its image y. what are two ways sarah could have made the image using a single transformation?

Explanation:

Step1: Analyze rigid - transformations

Rigid transformations include translations, rotations, and reflections. In the given example, since the orientation of figure A and A' is the same, rotation is not applicable here. But reflection can be considered.

Step2: Identify reflection transformation

If we consider the y - axis as the line of reflection, figure A can be mapped onto figure A'.

Step3: Analyze non - mapping transformation

A rotation would not map figure A onto figure A' because the orientation of figure A and A' is the same and rotation changes the orientation of a figure.

Answer:

1. a. Reflect figure A across the y - axis to map it onto figure A'.

b. A rotation would not map figure A onto figure A'. Rotation changes the orientation of a figure, and figure A and A' have the same orientation.

1. Without seeing the figure of Y and Y', two possible single - transformations could be: Translation (shifting the figure horizontally or vertically) and Reflection (across a vertical, horizontal or diagonal line).