$$\left(-2,\ 5\right)$$  

$$\left(4,\ 2\right)$$  

$$\left(-1,\ 3\right)$$  

$$\left(2,\ 6\right)$$  

(–2, 4)

(4, 2)

(0, 0)

(–3, 4)

(x, y) →(x - 4, y + 5)

(x, y) →(x + 5, y - 4)

(x, y) →(x + 4, y - 5)

(x, y) →(x - 4, y - 5)

A reflection is when you turn an object around a point.

A reflection is when you slide an object from one place to another.

A reflection is when you flip or mirror an object across a line.

A reflection is when you resize an object.

(6, 3)

(-6, -3)

(-3, 6)

(3, -6)

(-x, y)

(y, -x)

(x, -y)

(-y, x)

a reflection of the line segment across the x-axis

a reflection of the line segment across the y-axis

a reflection of the line segment across the line y = x

a reflection of the line segment across the line y = –x

To move up, down, left, or right.

To flip.

To make a circular movement around a point.

To mirror.

(1,9)

(9,-1)

(-1,-9)

(-1,9)

(1, 5)

(1, -5)

(-1, 5)

(5, 1)

(3, -4)

(-4, -3)

(4, 3)

(-3, 4)

rotate 90 cw

translate: 4 units right and 5 units down

reflect over x-axis

rotate 270 cw

reflect over y-axis

Translation 8 units right and 2 units up.

Translation 2 units right and 9 units up

Translation 8 units left and 2 units down.

Translation 4 units right and 1 unit up.

(5x, 5y)

(3x, 3y)

(1/3 x, 1/3 y)

(2x, 2y)

a dilation with a scale factor less than 1 and then a reflection

a dilation with a scale factor less than 1 and then a translation

a dilation with a scale factor greater than 1 and then a reflection

a dilation with a scale factor greater than 1 and then a translation

$$P''\left(-10,1\right),\ Q''\left(-6,\ 8\right),\ R''\left(-2,\ 4\right)$$  

$$P''\left(5,-1\right),\ Q''\left(3,-4\right),\ R''\left(1,-2\right)$$  

$$P''\left(1,-5\right),\ Q''\left(4,-3\right),\ R''\left(2,-1\right)$$  

$$P''\left(2,-10\right),\ Q''\left(8,-6\right),\ R''\left(4,-2\right)$$