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HONORS GEOMETRY 4.5. Proving Triangles Congruent (ASA and AAS)
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Do Now: Are the triangles below congruent? Why or why not?
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Homework Questions? Comments? Confusions? Concerns? ASK ASK ASK!
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So….. Proving triangles are congruent….. We currently have SSS and SAS. Are their others?
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Angle-Side-Angle (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.
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Example One: Which two triangles are congruent by ASA? Explain your reasoning.
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Example Two: Are the following triangles congruent by ASA? If so, write a congruence statement.
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You Try! Are the following triangles congruent? Why or why not?
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Example Three:
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You Try! **Why do I dislike the order they chose for the prove part of this proof?
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Angle- Angle- Side (AAS) Congruence If two angles and the non-included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent.
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Example Four: Are the following congruent? Why?
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Example Five:
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Example Six:
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You Try!
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CPCTC
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Example Seven:
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Practice Problems Try some on your own/in your table groups As always if you have questions and/or are confused don’t hesitate to ask me and/or your tablemates! They are your greatest resource!
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Exit Ticket
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