Match the reasons with the statements in the proof to prove ∠rnt = ∠smt given rt = st and mt = nt given: rt = st mt = nt to prove: ∠rnt = ∠smt 1. rt = st mt = nt 2. ∠t = ∠t 3. rnt = stm sas 4. ∠rnt = ∠smt reflexive property givensas (side-angle-side)cpcte (corresponding parts of congruent triangles are equal)

See explanation

Step-by-step explanation:

1. RT=ST, MT=NT -given

2. ∠T=∠T - reflexive property (angle T in triangle RNT is congruent to angle T in triangle SMT)

3. ΔRNT=ΔSMT - SAS (two sides and included angle in triangle RNT are congruent to two sides and included angle in triangle SMT)

4. ∠RNT=∠SMT - CPCTE (Corresponding Parts of Congruent Triangles are Equal)

The reflexive property of equality simply states that a value is equal to itself.

SAS: Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.