Question

Seren is completing a proof to show that corresponding angles ∠2 and ∠6 are congruent.Statement Reason1. m and nare parallel and cut by transversal k. 1. Given2. l is drawn so that it is perpendicular to both m and nand so that it also passes through k. 2. Given3. A right angle has measure 90°. 3. definition of a right angle4. m∠2+m∠9+90°=180° 4. The sum of the angle measures in a triangle is 180°.5. m∠6+m∠9+90°=180° 5. The sum of the angle measures in a triangle is 180°.6. m∠2+m∠9+90°=∠6+m∠9+90° 6. 7. m∠2=m∠6 7. Subtraction Property of Equality8. ∠2≅∠6 8. Definition of congruenceWhat is the missing reason for step 6 of her proof?(1 point)ResponsesDefinition of congruenceDefinition of congruenceTransitive Property of EqualityTransitive Property of EqualityVertical Angles TheoremVertical Angles TheoremLinear pairs are supplementary.Linear pairs are supplementary.

Answer 1

The missing reason for step 6 of Seren's proof is the **Transitive Property of Equality**.

This property states that if two quantities are equal to the same quantity, then they are equal to each other. In this case, both expressions on either side of the equation in step 6 equal 180°, so you can set them equal to each other.

Therefore, the correct answer is:
**Transitive Property of Equality**.