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4.6 Triangle Congruence: ASA, AAS, and HL
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Terms in this set (13)
included side
The common side of two consecutive angle in a polygon.
Segment PQ is the included side of <P and <Q.
ASA Congruence
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
ASA Congruence hypothesis and conclusion
Applying ASA Congruence
Determine if you can use ASA To prove triangle UVX is congruent to triangle WVX. Explain.
Applying ASA Congruence answer
AAS Congruence
If two angles and a nonincluded side of one triangle are congruent to the corresponding angles and nonincluded side of another triangle, then the triangles are congruent.
AAS Hypothesis and conclusion
Hypotenuse-Leg (HL) Congruence
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
HL Hypothesis and conclusion
Applying HL Congruence 1
Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.
Triangle VWX and triangle YXW
Applying HL Congruence answer 1
Applying HL Congruence 2
Triangle VWZ and triangle YXZ
Applying HL Congruence answer 2
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