Answer:
(a) ∆MNO ≅ ∆JKL
(b) SAS
(c) ∆MNO ≅ ∆JKL
Step-by-step explanation:
(a) The list of congruence postulates given in part (b) tells you the ways the triangles might be shown congruent.
- ˙ABC — two sides and an angle are congruent. There is no SSA congruence postulate
- DEF — two sides are shown congruent. There is no SS congruence postulate
- GHI — three angles are shown congruent. There is no AA or AAA congruence postulate. (There is an AA similarity postulate.)
- JKL — two sides and the angle between are shown congruent. The SAS congruence postulate applies. ∆MNO is congruent to ∆JKL.
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(b) As stated in part A, the SAS congruence postulate applies.
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(c) The sides and angle correspond when the congruence statement is written ...
∆MNO ≅ ∆JKL
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M and J are the congruent angles; MN and JK are one pair of congruent sides. Once you get these corresponding letters in order, the remaining vertex name can be added to the end.
