Part I: Midsegments
1. If D, E, and F are midpoints of the sides
of AABC, find the perimeter of AABC.
E
16

The perimeter of triangle ABC is 70 units

Step-by-step explanation:

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

so

step 1

Find the length side AB

we have

substitute

step 2

Find the length side BC

we have

substitute

step 3

Find the length side AC

we have

substitute

step 4

Find the perimeter of triangle ABC

substitute values

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option