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Prove the following given by completing the two-column proof.

Prove The Following Given By Completing The Twocolumn Proof class=
Prove The Following Given By Completing The Twocolumn Proof class=
Prove The Following Given By Completing The Twocolumn Proof class=

Sagot :

Answer:

Problem 1

1. ∠B ≅ ∠E

2. Given

3. ∠DCE and ∠ACB are vertical angles

4. Vertical angles are congruent

(Note: In the statement, it should be ∠DCE ≅ ∠ACB)

5. ASA Congruence

Problem 2

1. AC bisects ∠DAB

2. Given

3. Definition of angle bisector

4. AC ≅ AC

5. ASA Congruence

Problem 3

1. C is the midpoint of BD and AE

2. Midpoint is equidistant to both endpoints

3. Definition of vertical angles

4. ∠ACB ≅ ∠DCE

5. SAS Congruence