Dilations Given a Center and Scale Factor

Triangle ABC has vertices at A(2,3) B(-5,-1) C(0,5). Its image, Triangle A'B'C', has vertices at A'(4,6) B'(-10,-2) and C'(0,10). What is the scale factor?

• 1/2

• 1

• 2

• 4

Tags

CCSS.8.G.A.3

Triangle CAT has coordinates C (4,8) A (6,10) and T ( 6,4) where is A' after a dilation of scale factor of 1/2 

• (6,10)

• (3,2)

• (3,5)

• (0,0)

Tags

CCSS.8.G.A.3

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y).  What will be the coordinates of C'?

• (12, -3)

• (12, -6)

• (3, -1.5)

• (8, -5)

Tags

CCSS.HSG.CO.A.2

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

• (x, y) −> (2x, 2y)

• (x, y) −> (1/2x, 1/2y)

• (x, y) −> (-2x, -2y)

• (x, y) −> (2x, 1/2y)

Tags

CCSS.8.G.A.3

What is a dilation?

• The process of making a polygon larger or smaller without changing its shape

• The process of making a polygon move up, down, left, or right without changing its shape or size

• The process of making a polygon flip over an invisible line without changing its shape or size

• The process of making a polygon turn along quadrants without changing its shape or size

Tags

CCSS.8.G.A.3

A scale factor of 1/2 reduces a figure.

• True

• False

Tags

CCSS.8.G.A.3

The center of dilation is important because

• it's the location from which the dilation occurs.

• All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

• it's a fixed point on the plane about which all points are expanded or contracted.

• All of the above

Tags

CCSS.8.G.A.3

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

Tags

CCSS.7.G.A.1

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Tags

CCSS.8.G.A.3

Find the measure of x:

• 6

• 24

• 33

• 36

Tags

CCSS.HSG.SRT.A.2