Task Sets: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates - Common Core Math - Grade 8

Recall / Warm-Up

Reflecting a point across the $x$ -axis sends $(x, y)$ to which image?

$(x, -y)$

$(-x, y)$

$(-x, -y)$

$(y, x)$

$A coordinate plane with point A plotted three units left and four units up from the origin$

Point $A$ is located at $(-3, 4)$ . Read its coordinates from the grid and enter them as an ordered pair.

Evaluate the expression $-1 \times (-6)$ .

Fluency Practice

Apply the translation $(x, y) \to (x + 5, y - 2)$ to the point $(1, 6)$ . Enter the image as an ordered pair.

Reflect the point $(-3, 5)$ across the $x$ -axis. What is the image?

$(-3, -5)$

$(3, 5)$

$(3, -5)$

$(-5, -3)$

$Triangle D E F plotted in the first quadrant with vertices at 2 comma 1, 4 comma 1, and 3 comma 5$

Triangle $DEF$ has vertices $D(2, 1)$ , $E(4, 1)$ , and $F(3, 5)$ . Reflect the triangle across the $y$ -axis using $(x, y) \to (-x, y)$ . Enter the image of vertex $F$ as an ordered pair.

$A coordinate plane with point P plotted at four units right and one unit up, connected to the origin by a dashed segment$

Rotate the point $(4, 1)$ by $90\degree$ counterclockwise about the origin using $(x, y) \to (-y, x)$ . Enter the image as an ordered pair.

Dilate the point $(3, 4)$ with center at the origin and scale factor $k = 2$ using $(x, y) \to (kx, ky)$ . What is the image?

$(6, 8)$

$(5, 6)$

$(6, 4)$

$(3, 8)$

Exercises: Describing the Effect of Transformations Using Coordinates

Recall / Warm-Up

Fluency Practice