Dilations and Similation Review

Point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

The side length of a smaller square is one-third the side length of a larger square. Which of the following statements describes the area of the smaller square?

The top of a bench has a length of 5 ft and a width of 2 ft. A second bench is similar to the first bench. The top of the second bench is 3 ft wide. What is the length of the top of the second bench?

• 6 ft

• 7 ft

• 4.5 ft

• 7.5 ft

A triangle is enlarged by multiplying each of its dimensions by 4. Based on this information, which of the following statements is true?

• The perimeter of the new triangle is 12 times the perimeter of the original triangle.

• The perimeter of the new triangle is 16 times the perimeter of the original triangle.

• The perimeter of the new triangle is 18 times the perimeter of the original triangle.

• The perimeter of the new triangle is 4 times the perimeter of the original triangle.

In ΔDAC shown above, EB ∥ DC.

If AC = 28.5 cm, what is the length of AB?

• 22.5 cm

• 14.4 cm

• 36.1 cm

• 23.7 cm

Which similarity transformation maps ABCD to A'B'C'D'? #11

• A reflection in the x-axis followed by a dilation with scale factor 3.

Quadrilateral OBCD is similar to Quadrilateral OHTE because? #8

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about the origin by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about the origin by a scale factor of 1/2.

ΔOBC is similar to ΔOGT because: (choose the best answer) #9

• ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about the origin

• ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

• They aren't similar

• They map to each other with similarity transformations.

Triangle ABC was dilated and translated to form a similar triangle A'B'C'. #18