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Match the following STATEMENTS to the reasons listed.

NOTE: In a traditional proof format, the statements would be on the left side of the proof.

Given:
AD = BC


Prove:
A = B

Match the following STATEMENTS to the reasons listed NOTE In a traditional proof format the statements would be on the left side of the proof Given AD BC Prove class=

Respuesta :

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:

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

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