Similarity Dilation

Which of the following are always similar? Select all that apply.

• Circles

• Segments

• Isosceles Triangles

• Regular Polygons

• Rectangles

Determine whether the triangles are similar.

• SSS~

• AA~

• SAS~

• not similar

Calculate the value of the scale factor between the 2 triangles

• 2.5

• 3

• 3.5

• 4

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

Find the measure of x:

• 6

• 24

• 33

• 36

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)

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)