Dilation and Scale Factor

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

If the two figures are similar, what is the length of the missing side (x)?

• 12 cm

• 14 cm

• 21 cm

• 4 cm

Tags

CCSS.HSG.SRT.A.2

A triangle drawn on a coordinate grid is dilated by a scale factor of 5 about the origin. Which statement regarding the original triangle and the resulting image is correct?

• The two triangles are congruent, but not similar.

• The two triangles are similar, but not congruent

• The two triangles are similar and congruent

• The two triangles are neither similar or congruent.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

What must the value of x be in order for the figures below to be similar?

• 70 feet

• 25 feet

• 5 feet

• 50 feet

Tags

CCSS.HSG.SRT.A.2

The vertices of HJKL are as follows: H(-10, -4) J(6, -2) K(0,4) L(-4, 6). Find the coordinates of H'J'K'L' after the HJKL if dilated using a scale factor of 1/2.

• H'(-5, -2) J'(3, -2) K'(0, 2) L'(2, 4)

• H'(-5, -2) J'(3, -1) K'(0, 2) L'(-2, 3)

• H'(-7, -2) J'(3, -2) K'(4, 2) L'(2, 4)

• H'(-10, -2) J'(6, -2) K'(0, 2) L'(4, 4)

Tags

CCSS.8.G.A.3

Triangle PQR is shown. What are the coordinates of Q' when triangle PQR is dilated by a scale factor of 4 using the origin as center?

• Q' (16,20)

• Q' (20, 16)

• Q' (36, 16)

• Q' (24, 9)

Tags

CCSS.8.G.A.3

Triangle STU is a dilation of Triangle PQR. What is the scale factor in the dilation?

• 3/4

• 1/2

• 2

• 1.5

Tags

CCSS.8.G.A.3

Point P is at (-2,3) and is dilated to Point P' at (-6,9). What is the scale factor?

• 2

• 3

• 4

• 5

Tags

CCSS.8.G.A.3

A triangle has the following vertices: A(-1,1) B(6,-2) C(3,5). If the triangle undergoes a dilation with a scale factor of 4, what will be the coordinates of C'?

• A' (5,5) B'(23, -2) C'(15, 23)

• A' (-5,5) B'(-23, -2) C'(16, 23)

• A' (-4,4) B'(24, -2) C'(15, 23)

• A' (-4,4) B'(24, -8) C'(12, 20)

Tags

CCSS.8.G.A.3

Identify the ordered pair for the image (-6, 4) using the transformation rule (x,y) -> (0.5x, 0.5y)

• (-12, 8)

• (0.5, 0.5)

• (-3, 2)

• (-6, 4)

Tags

CCSS.8.G.A.3