ABC is similar to FED. Answer the questions to find the length of DF.

1. Which side in AFED does AB in AABC correspond to?

2. Which side of FED does CB in ABC correspond to?

3. Which side of FED does AC in the ABC correspond to?

4. What scale factor was used in the dilation of ABC to FED? Explain how you found the scale factor.

5. What is the length of side DE? Show how you found the length.

6. Use the Pythagorean theorem to find the length of side FD. Show your work.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi