David Weber, Talei Kunkel, Rose Harrison and, Fatima Remtulla Solutions for Chapter: Geometric Transformations Expressing Beliefs and Values, Exercise 35: Unit review

Given the rotation $\left(x,y\right)\to \left(y,-x\right)$, find the coordinates of the image of the given point and describe the rotation in words.

$\left(0,3\right)$

Given the reflection $\left(x,y\right)\to \left(-y,-x\right)$, find the coordinates of the image of the given point and describe the reflection in words.

$\left(0,-9\right)$

Given the reflection $\left(x,y\right)\to \left(-y,-x\right)$, find the coordinates of the image of the given point and describe the reflection in words.

$\left(14,-4\right)$

Given the reflection $\left(x,y\right)\to \left(-y,-x\right)$, find the coordinates of the image of the given point and describe the reflection in words.

$\left(3,5\right)$

Is a reflection in the line $y=-x$ the same as a rotation of $180°$? Explain using arrow notation.

What single transformation gives the same result as the following?
A reflection in the $x$ -axis followed by a reflection in the $y$ -axis
 

What single transformation gives the same result as the following?
A reflection in the line $y=x$ followed by a $90$ -degree clockwise rotation about the origin.

Describe the transformation that has occurred to create the image in the diagram below.