Question

For numbers 11-15, complete the two-column proof below. Given: PQ ? m and PR is any segment from P to m that is different from PQ. Prove: PR > PQ P 1 2 3 m Q R Statements | Reasons 11. | Given ?1 and ?2 are right angles | 12. ?1 = ?2 | All right angles are congruent m?1 ? m?2 | Definition of congruent angles m?1 > m?3 | 13. 14. | Substitution 15. __ | If one angle of a triangle is larger than the second angle, then the side opposite the larger angle is longer than the side opposite the second angle.

          For numbers 11-15, complete the two-column proof below.
Given: PQ ? m and PR is any segment from P to m that is different from PQ.
Prove: PR > PQ

P
1  2  3  m
Q  R

Statements | Reasons
11. __________ | Given
?1 and ?2 are right angles | 12. __________
?1 = ?2 | All right angles are congruent
m?1 ? m?2 | Definition of congruent angles
m?1 > m?3 | 13. __________
14. __________ | Substitution
15. __________ | If one angle of a triangle is larger than the second angle, then the side opposite the larger angle is longer than the side opposite the second angle.

For numbers 11-15, complete the two-column proof below.
Given: PQ ? m and PR is any segment from P to m that is different from PQ.
Prove: PR > PQ

P
1 2 3 m
Q R

Statements | Reasons
11. | Given
?1 and ?2 are right angles | 12.
?1 = ?2 | All right angles are congruent
m?1 ? m?2 | Definition of congruent angles
m?1 > m?3 | 13.
14. | Substitution
15. | If one angle of a triangle is larger than the second angle, then the side opposite the larger angle is longer than the side opposite the second angle.

Added by Edward R.

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