Mathematics, 20.10.2019 09:30 lanay645

Match the following statements to the reasons listed.

note: in a traditional proof format, the statements would be on the left side of the proof.

given:
rm = sn
tm = tn
prove:
rn = sm

1. rm = sn, tm = tn addition property of equality
2. ∠t = ∠t reflexive
3. rm + tm = sn + tn substitution
4. rm + tm = rt, sn + tn = st betweeness
5. rt = st cpcte
6. triangle rtn congruent to triangle stm given
7. rn = sm sas

Answers: 3

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Answer from: ciarra31

We are given with RM = SN, TM = TN and we are to prove that RN = SM. The steps that are followed for this proof are as follow:

1. RM = SN , TM = TN Given
2. ∠T = ∠T Reflexive
3. RM + TM = SN + TN Addition Property of Equality
4. RM + TM = RT, SN + TN = ST Betweeness
5. RT = ST Substitution
6. Triangle RTN congruent to Triangle STM SAS
7. RN = SM CPCTE

Answer from: jenaycasmall

We have to match the following statements to the given proof.

S.No. Proof Statement

1 RM=SN Given

TM=TN

2 ∠T=∠T Reflexive

3 RM+TM=SN+TN Addition property

of equality

( by using 1)

4 RM+TM=RT, Betweeness

SN+TN=ST

5 RT=ST Substitution( since using

equation 3 and 4)

6 ΔRTN≅ΔSTM SAS ( since two sides and

corresponding angle are

equal by 1,2 and 5)

7 RN=SM CPCTE( Corresponding parts of

congruent triangles are equal)

Answer from: Quest

just needed some points but try socratic

Answer from: Quest

step-by-step explanation:

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Match the following statements to the reasons listed.

note: in a traditional proof form...