Question

The scale factor from a small triangle ABC to a large

triangle XYZ is 4. How many times larger will the
perimeter of triangle XYZ be than the perimeter of
triangle ABC?

Answer 1

9514 1404 393

Answer:

c 4 times

Explanation:

If the side lengths of the original triangle are AB, BC, and CA, then those of the dilated triangle are 4AB, 4BC, 4CA.

The sums of these are the perimeters.

P = AB +BC +CA

perimeter of XYZ = 4AB +4BC +4CA = 4(AB +BC +CA) = 4P

The perimeter of XYZ is 4 times the perimeter of ABC.