Scale Factor Coordinate Points

The vertices of △ ABC are located at A(4,8), B(8,0), and C(-8,4). Which sequence of transformations of △ ABC results in △ A′′B′′C′′?

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

Tags

CCSS.8.G.A.3

Finish the following similarity statement: Figure DEFGHI ∼ Figure ​ (a)  

• DEFGHI

• D'E'F'G'H'I'

• ABCDEF

• A'B'C'D'E'F'

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Tags

CCSS.HSG.CO.A.2

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

• True

• False

Tags

CCSS.8.G.A.3

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

• Figure B

• Figure C

• Figure D

Tags

CCSS.8.G.A.3

Dilate the figure 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

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)

• (x, y) goes to (-3x, -3y)

• (x, y) goes to (x + 3, y + 3)

• (x, y) goes to (3x, 3y)

Tags

CCSS.8.G.A.3

Enlargement or reduction?  Find the scale factor!

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Tags

CCSS.8.G.A.3

Dilate Point A by a scale factor of 1/2

• (-4,-4)

• (-1,-4)

• (-1,-1)

• (-2,-2)

Tags

CCSS.8.G.A.3

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Tags

CCSS.8.G.A.3