Question

Match the following items.

Given:
bisectsRTS
R ≅S

Prove:


1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S
2. ∠1 ≅ ∠2
3. Segment TQ ⊥ Segment RS
4. Triangle RTQ congruent to Triangle STQ
5. ∠3 ≅ ∠4
6. TQ ≅ TQ

a. Definition of perpendicular.
b. Given
c. AAS
d. CPCTE
e. Definition of angle bisector.
f. Reflexive

Answer 1

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given

2. ∠1 ≅ ∠2 e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ c. AAS

5. ∠3 ≅ ∠4 d. CPCTE

6. TQ ≅ TQ f. Reflexive

Explanation:

Good luck on the rest of your assignment!

Answer 2

Answer: Answer:

1. Segment TQ bisects ∠RTS; ∠R ≅ ∠S b. Given

2. ∠1 ≅ ∠2 e. Definition of angle bisector

3. Segment TQ ⊥ Segment RS a. Definition of perpendicular

4. Triangle RTQ congruent to Triangle STQ c. AAS

5. ∠3 ≅ ∠4 d. CPCTE

6. TQ ≅ TQ f. Reflexive

Explanation:

Good luck on the rest of your assignment!