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

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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)   (Show Source): You can put this solution on YOUR website!


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
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