Congruence+of+Angles+P2

Abby Suholaski, Felecia Warden, Miranda Green, Emma Allen Period 2

Congruence of Angles Congruent Angles can be reflexive, symmetric and transitive.

Reflexive: For any angle X, <X is congruent to <X.

Symmetric: If <S is congruent to <T, then <T is congruent to <S.

Transitive: If <X is congruent to <Y and <Y is congruent to <Z, then <X is congruent to <Z.



Problems: State which type of congruence of angle it shows.

1. If <T is congruent to <D, then <D is congruent to <T.

2. If segment AD is congruent to segment BC, then segment BC is congruent to angle AD.

3. <Z is congruent to <Z.

4. If <A is congruent to <B and <B is congruent to <C then <A is congruent to <C.

5. If <A is congruent to <B, then m<A= m<B.

Fill the blank.

6. For any angle X, <X is congruent to -

7. If <A is congruent to <B, then-

8. If <R is congruent to <S and <S is congruent to <T, then-

Answers: 1. Yes, Symmetric Congruence of Angles.

2. No, Definition of Congruent Segments.

3. Yes, Reflexive Congruence of Angles.

4. Yes, Transitive Congruence of Angles.

5. No, Vertical Angles Theorem.

6. <X

7. <B is congruent to <A.

8. <R is congruent to <T