question archive Match the reasons with the statements in the proof to prove ∠RNT = ∠SMT given RT = ST and MT = NTGiven: RT = ST MT = NT To Prove: ∠RNT = ∠SMT 1
Match the reasons with the statements in the proof to prove ∠RNT = ∠SMT given RT = ST and MT = NTGiven: RT = ST MT = NT To Prove: ∠RNT = ∠SMT 1
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Match the reasons with the statements in the proof to prove ∠RNT = ∠SMT given RT = ST and MT = NTGiven: 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
Given
SAS (Side-Angle-Side)
CPCTE (Corresponding Parts of Congruent Triangles are Equal)
To Prove: ∠RNT = ∠SMT
1. RT = ST MT = NT
2. ∠T = ∠T
3. RNT = STM SAS
4. ∠RNT = ∠SMT
Reflexive Property
Given
SAS (Side-Angle-Side)
CPCTE (Corresponding Parts of Congruent Triangles are Equal)
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Answer:
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.
PFA
