SOLUTION: Given: ∠D and ∠B are right angles DC || AB Prove: △ADC ≅ △CBA STATEMENT 1.∠D and ∠B are right angles 2. 3. 4. REA

Algebra ->  Geometry-proofs -> SOLUTION: Given: ∠D and ∠B are right angles DC || AB Prove: △ADC ≅ △CBA STATEMENT 1.∠D and ∠B are right angles 2. 3. 4. REA      Log On


   

Question 1002542: Given:
∠D and ∠B are right angles
DC || AB
Prove:
△ADC ≅ △CBA


STATEMENT
1.∠D and ∠B are right angles
2.
3.
4.
REASON
1. Given
2. If lines are parallel, then alternate interior angles are equal
3.
4. Hypotenuse Angle Theorem
Answer by solver91311(24713) About Me  (Show Source):
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Given:
∠D and ∠B are right angles
DC || AB 
Prove:
△ADC ≅ △CBA 
STATEMENT                                      REASON
-------------------------------                -------------------------------------	
1. ∠D and ∠B are right angles                 Given	

2. m∠BAC = m∠DCA                              If lines are parallel, then alternate
                                               interior angles are equal	

3. mAC = mAC                                   Reflexive Equality	

4. △ADC ≅ △CBA	                               Hypotenuse-Angle Theorem

John

My calculator said it, I believe it, that settles it