Download Today`s Essential Question: What are other ways to show triangles

Geometry Section: 5.2­5.4: SAS, SSS, ASA, AAS and HL Method for Showing Congruent Triangles
Algebra Problem of the Day:
Jan 7­1:48 PM
Today's Essential Question: What are other ways to show triangles are congruent besides listing corresponding parts?
Opener: 6 ways to show that 2 triangles are ≅
Jan 7­1:51 PM
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1. Show all corresponding sides and angles ≅ (like in section 5.1)
2. SSS Side Side Side
Show all 3 sides ≅
3. SAS Side Angle Side Show 2 sides ≅
Show angle in between ≅
4. ASA Angle Side Angle Show 2 angles ≅
Show side in between
≅
Jan 7­1:53 PM
5. AAS Angle Angle Side Show 2 angles ≅
Show side outside ≅
6. HL
Hypotenuse Leg Right Triangle Only
Show Hypotenuses ≅
Show at least 1 leg ≅
Jan 7­1:57 PM
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Concept 1: Identifying Congruent Triangles Using SSS, and SAS Beware of Hiddens: 1. Shared Sides
2. Vertical Angles
3. Alternate Interior Angles
(when you have || lines)
Jan 8­1:41 PM
Decide whether the triangles are congruent. If so, state the postulate that applies and write a congruence statement.
Ex. 1:
Ex. 2: Jan 8­1:42 PM
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Ex. 3: Ex. 4:
Jan 8­1:45 PM
Now, please complete p. 28 of the packet.
Jan 8­1:48 PM
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Concept 2: Identifying Congruent Triangles Using ASA and AAS **Don't forget your hiddens!**
Decide whether the triangles are congruent. If so, state the postulate that applies and write a congruence statement.
Ex. 1: Ex. 2: Jan 8­1:49 PM
Ex. 3: Ex. 4:
Jan 8­1:52 PM
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Now, please complete p. 29 of the packet.
Jan 8­1:55 PM
Closure: Identifying Congruent Triangles Using HL Reminder: When can you use HL?
**Don't forget your hiddens**
Jan 8­1:55 PM
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Decide whether the triangles are congruent. If so, state the postulate that applies and write a congruence statement.
Ex. 2:
Ex. 1:
Ex. 3:
Jan 8­1:56 PM
Now, please complete p. 30 of the packet.
Jan 8­1:58 PM
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Learning Opportunity:
p. 31 of the packet (4th side) Jan 8­1:59 PM
Jan 11­6:10 PM
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