Answer:
1. ∆RAT ~ ∆RAM by SAS
Since RA = TA and
RA MA
<RAT <RAM
2. We can see that <D = <B and these are both included angles. we just have to check that the sides around the angles are proportional.
FD = 9 = 3
AB 15 5
DE = 12 = 3
BC 20 5
since the ratios are the same ∆DEF ~ ∆ABC by SAS similarity theorem.
3.
∆ABC ~ ∆CDE
since AB =CB and
CD ED
<ABC = <CDE
4. We can see that <S = <X and these are both included angles. we just have to check that the sides around the angles are proportional.
TS = 12 = 3
YX 16 4
since the ratios are the same ∆RST ~ ∆ZXY by the SAS similarity.
Step-by-step explanation:
hope it helps: