8.3C Dilations and Scale Factor

The algebraic representation shown is used to dilate a quadrilateral with vertices A(-2,8) B(-2,0) C(12,0) and D(6,8).

(x,y) → (½x,½y)

What are the new coordinates of the vertices of A'B'C'?

• A' (-1,4) B' (-1,0) C'(6,0) D'(3,4)

• A' (1,4) B' (1,0) C'(-6,0) D'(-3,4)

• A' (1,-4) B' (1,0) C'(-6,0) D'(-3,-4)

• A' (-1,-4) B' (-1,0) C'(6,0) D'(3,-4)

Tags

CCSS.8.G.A.3

• A

• B

• C

• D

Triangle KLM has vertices K(5,4) L(-3,7) and M(2,13). Triangle KLM is dilated by a scale factor of 1.5 with the origin as the center of dilaton. The image of Triangle KLM after this dilationis Triangle K'L'M'. What are the coordinates of L' ?

• (-4.5,10.5)

• (-1.5,8.5)

• (-1.5,3.5)

• (0,0)

Tags

CCSS.8.G.A.3

• A

• B

• C

• D

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

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

• ½

• ¼

• 4

• 2

If the blue polygon is the original image, find the scale factor and determine if it is a reduction or enlargement.

• 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.7.G.A.1

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

Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the scale factor?

• $\frac{3}{2}$

• $\frac{1}{2}$
  

• $\frac{2}{3}$
  

• $\frac{1}{3}$