Coordinates for Dilations

Point A is ( 7, 3) and Point A' is ( 21, 9). What is the algebraic rule for this dilation if the center of dilation is at the origin?

Tags

CCSS.8.G.A.3

Dilate a figure with coordinates of A(3,3), B(6,6), and C(9,3) by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Tags

CCSS.8.G.A.3

If Triangle ABC is dilated using 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

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

What is the scale factor for the given dilation?

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

To dilate a figure, _____________ the coordinates of the figure by the scale factor.

• multiply

• subtract

• add

• divide 

Tags

CCSS.8.G.A.3

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

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

• (3, 6)

• (1.5, 3)

• (6, 12)

• (12, 6)

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

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?

• (-5, 5)

• (5, -5)

• (5, 10)

• (7.5, -2.5)

Tags

CCSS.8.G.A.3