Question

Match the following STATEMENTS to the reasons listed.

Answer 1

Answer:

It is proved that ∠A = ∠B.

Step-by-step explanation:

1. Given: AD=BC, BC⊥AE, AD⊥BE

2. Reflexive Property: ∠E = ∠E

3. LA: Triangle ADE congruent to Triangle BCE

4. Perpendicular lines form right angles: ∠D and ∠C are right angles.

5. CPCTE: ∠A = ∠B

Answer 2

Answer:

Step-by-step explanation:

1. AD = BC, BC⊥AE, AD⊥BE             [3]        Reflexive

2. ∠D and ∠C are right angles         [4]       LA

3. ∠E = ∠E                                          [2]      perpendicular lines from right            

                                                                      angles

4. Triangle ADE is congruent

    to Triangle BCE                             [1]      Given

5.  ∠A = ∠B                                         [5]     CPCTE