David Weber, Talei Kunkel, Rose Harrison and, Fatima Remtulla Solutions for Chapter: Geometric Transformations Expressing Beliefs and Values, Exercise 19: Practice 4

Give the coordinates of the image point after the following preimage points has been reflected in the $x$-axis.

$\left(-2,0\right)$

Give the coordinates of the image point after the following preimage points has been reflected in the $x$-axis.

$\left(0,-8\right)$

Give the coordinates of the image point after the following preimage points has been reflected in the $y$-axis.

$\left(-6,15\right)$

Give the coordinates of the image point after the following preimage points has been reflected in the $y$-axis.

$\left(13,-11\right)$

Give the coordinates of the image point after the following preimage points has been reflected in the $y$-axis.

$\left(0,0\right)$

Write down a single transformation that achieves the same result as a reflection in the $x$-axis followed by a $180$-degree rotation.

Write down a single transformation that achieves the same result as a reflection in the $y=-x$ followed by a $90$-degree rotation clockwise.

Write down a single transformation that achieves the same result as a reflection in the $y=x$ followed by a $270$-degree rotation clockwise.