Question

12. (10 points) Provide a formal two-column proof. Given: \(\angle TRS\) and \(\angle TVS\) are right angles \(\angle 1 \cong \angle 2\) Prove: \(RT \cong VT\) Statements Reasons

          12. (10 points) Provide a formal two-column proof.
Given: \(\angle TRS\) and \(\angle TVS\) are right angles
\(\angle 1 \cong \angle 2\)
Prove: \(RT \cong VT\)
Statements
Reasons

12. (10 points) Provide a formal two-column proof.
Given: ∠ TRS and ∠ TVS are right angles
∠ 1 ≅∠ 2
Prove: RT ≅ VT
Statements
Reasons

Added by Ralph L.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Aparna Shakti

Step 1

Given: ZTRS and LTVS are right angles. Show more…

Show all steps

Thanks for your feedback!

12. (10 points) Provide a formal two-column proof. Given: ZTRS and LTVS are right angles. Prove: RT = VT Statements 1. ZTRS and LTVS are right angles. 2. ZTRS and LTVS are congruent. 3. RS = VS (Definition of congruent angles) 4. RT = RS (Definition of congruent segments) 5. RT = VS (Substitution, using statements 3 and 4) 6. VT = VS (Definition of congruent segments) 7. RT = VT (Transitive property, using statements 5 and 6) Reasons 1. Given 2. Definition of congruent angles 3. Definition of congruent angles 4. Definition of congruent segments 5. Substitution 6. Definition of congruent segments 7. Transitive property