Question

Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units.

Answer 1

From the figure, the dilation constant from ΔABC to ΔDEF is
QD/QA = 8/4 = 2

Test QB = QE:
We should have
QB = (1/2) QE
The statement is incorrect.

Test QC = CF:
We should have
QC = (1/2) QF, or QC = CF
The statement is correct.

Test DE = 2AB:
We should have
AB = (1/2)DE, or 2AB = DE.
The statement is correct.

Test AC = EF:
We should have
AC = (1/2)DF
The statement is incorrect.

We should also have
BC = (1/2)EF
Therefore, if BC = 2.25, then
EF = 2*BC = 2*2.25 = 4.5.

Answer:
QC = CF
DE = 2AB
EF = 4.50

Answer 2

if you guys are testing on edg. the correct answer r A,B, and C

just in case

QB =  QE

QC = CF

DE = 2AB