Question

How the heck do you do proofs? I am very confused.

Given: D the midpoint of AB and CD perpendicular AB

Prove: triangle ADC is congruent to triangle BDC

Here is what I have for statements and reasons

Statements:
1. D is the midpoint of AB. CD perpendicular AB

Reasons:
1. Given

Answer 1

Proofs are like construction. You have to "build" them.

Answer 2

So far you have:

Answer 3

But you need to prove:

Answer 4

ADC ≅ BDC

Answer 5

So basically, they give you part of a construction and ask you to build the rest

Answer 6

So using the rules of Geometry, build the structure (write the proof)

Answer 7

Statement: Reason:
D the midpoint of AB Given
CD perpendicular AB Given
AD ≅ BD Definition of Midpoint
∠ADC ≅ ∠BDC Definition of perpendicular lines
DC ≅ DC Reflexive Property
∆ADC ≅ ∆BDC SAS