Dilations

Does the image show a Dilation?

• Yes

• No

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

Tags

CCSS.8.G.A.3

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

• (2,4.5)

• (-8,-18)

• (8,18)

• (9,4)

Tags

CCSS.8.G.A.3

A dilation produces a similar figure

• True

• False

Tags

CCSS.8.G.A.3

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) goes to (2x, 2y)

• (x, y) goes to (1/2x, 1/2y)

• (x, y) goes to (-2x, -2y)

• (x, y) goes to (2x, 1/2y)

Tags

CCSS.8.G.A.3

A scale factor of less than one means

• that the image will be larger than the pre-image.

• That the image will be the same as the pre-image.

• That you need to subtract that amount off  of each side.

• That the image will be a reduction of the pre-image.

Tags

CCSS.8.G.A.3

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Tags

CCSS.8.G.A.3

What scale factor was used to produce the image?

• 1

• 7

• 18

• 49

Tags

CCSS.8.G.A.3

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)

• (12, 6)

• (3, -1.5)

• (0, 1.5)

Tags

CCSS.8.G.A.3

Which rule describes the dilation? - Pay attention to which shape is the pre-image and the image!

• (x, y)→(x +2 6, y + 2)

• (x, y)→(x + 3, y + 3)

• (x, y)→(3x, 3y)

Tags

CCSS.HSG.CO.A.2