Scale Factor & Dilation

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)

Jashon performed a transformation on a triangle with pre-image coordinates D(-6,0) E(-6,3) and F(-9,9). The coordinates of the image are D'(-2,0) E'(-2,1) and F' (-3,3). He challenges his friend Steve to describe the transformation. What response is correct?

• The pre-image was translated 3 units to the left

• The pre-image was translated 3 units to the right

• The pre-image was dilated by a scale factor of 1/3.

• The pre-image was dilated by a scale factor of 3.

A rectangle graphed on a coordinate plane is transformed to form another rectangle which is similar but not congruent to the first. Which sequence of transformations could the rectangle have undergone?

• A translation down 3 units and a rotation of 90 degrees.

• A translation down and a dilation of a scale factor of 3.

• A rotation of 90 degrees and translation of 3 units to the right.

• A reflection over the x axis and rotation of 180 degrees

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

• 12 cm

• 14 cm

• 21 cm

• 4 cm

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.

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

• 70 feet

• 25 feet

• 5 feet

• 50 feet

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)

Which is a TRUE statement about dilations?

• A dilation will ALWAYS reduce a figure.

• A dilation will ALWAYS enlarge a figure.

• A dilation will ALWAYS change the orientation of a figure.

• A dilation will ALWAYS produce a similar figure.

Triangle LMN was dilated to create L'M'N'. The coordinates of the pre-image and the image are shown in the table below. Find the scale factor that was used in the dilation.

• 2.5

• 10

• 2

• 5

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)