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HONORS GEOMETRY 4.5. Proving Triangles Congruent (ASA and AAS)

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Presentation on theme: "HONORS GEOMETRY 4.5. Proving Triangles Congruent (ASA and AAS)"— Presentation transcript:

1 HONORS GEOMETRY 4.5. Proving Triangles Congruent (ASA and AAS)

2 Do Now: Are the triangles below congruent? Why or why not?

3 Homework Questions? Comments? Confusions? Concerns? ASK ASK ASK!

4 So….. Proving triangles are congruent….. We currently have SSS and SAS. Are their others?

5 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.

6 Example One: Which two triangles are congruent by ASA? Explain your reasoning.

7 Example Two: Are the following triangles congruent by ASA? If so, write a congruence statement.

8 You Try! Are the following triangles congruent? Why or why not?

9 Example Three:

10 You Try! **Why do I dislike the order they chose for the prove part of this proof?

11 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.

12 Example Four: Are the following congruent? Why?

13 Example Five:

14 Example Six:

15 You Try!

16 CPCTC

17 Example Seven:

18 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!

19 Exit Ticket


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