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Match the following items.

Given:
2 = 3
4 = 5

Prove:
RS = RT




1. ∠2 = ∠3, ∠4=∠5 Substitution
2. ∠1 = ∠3 Vertical angles are equal.
3. ∠1 = ∠2 CPCTE
4. VR = VR Given
5. Triangle VSR congruent to Triangle VTR Reflexive
6. RS = RT ASA

Match the following items Given 2 3 4 5 Prove RS RT 1 2 3 45 Substitution 2 1 3 Vertical angles are equal 3 1 2 CPCTE 4 VR VR Given 5 Triangle VSR congruent to class=

Respuesta :

The matchings are as follows:

1) 2=3 , 4 =5   (Given)

2) 1 =3 (vertical angles are equal)

3) 1 =2 (substitution)

4) VR=VR (Reflexive)

5) Triangle VSR congruent to Triangle VTR (ASA)

6) RS=RT CPCTE

The matchings are done above.  The triangles are congruent as per ASA congruency as two angles and corresponding side is equal.

since 2 =3 and 1 = 3 we get 1=2

By CPCTE we have RS =RT

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