Question

Plzzzzzz helppppp meeee !!!

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.

Answer 1

Corresponding side of AB is FE

Corresponding side of CB is DE

Corresponding side of AC is FD

Explanation:

Given

and

See attachment for triangles

Solving (a): Corresponding side of AB

Going by the names of the triangle, the corresponding sides are:

AB and FE; CB and DE; AC and FD

Hence, the corresponding side of AB is FE

Solving (b): Corresponding side of CB

This has been solved in (a) above.

The corresponding side of CB is DE

Solving (c): Corresponding side of AC

This has been solved in (a) above.

The corresponding side of AC is FD

Solving (d): Scale factor from ABC to FED

To do this, we simply divide the lengths of corresponding sides.

The scale factor k is:

Solving (e): Length of DE

We make use of the scale factor calculated in (d) above

Solving (f): Length of FD

Using Pythagoras: