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SAS Congruence

Included angles

Name the included angle between sides AB and BC.

Name the included angle between sides BC and CA

Name the included angle between sides BC and AC

Name the included angle between sides BC and CD

SAS Recognition

Decide whether enough information is given to prove that the red and blue triangles are congruent.  Explain.

Decide whether enough information is given to prove that the red and blue triangles are congruent.  Explain.

Proof

Given that segment AC bisects DAB and segment AB segment AD, prove that ABCADC.

Real World

You've been invited to join a traditional kite fighting competition. You're building your own kite for the event. All the materials are cut DE is congruent to BC and FG is congruent to AC. The best chance to win is a solidly built symmetrical kite. To reduce the chance of things shifting you're completely attaching each spar as you go. So once you put in the next piece, changing things is very difficult. Given the information provided in the diagram, how should you proceed to complete a symmetrical kite? Give reasoning.