Dorchester - 01-09-2025 Triangle Congruence - SSS, SAS, ASA ;
Presentation
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Mathematics
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9th - 12th Grade
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Easy
Antoinette Norris Woodson
Used 2+ times
FREE Resource
36 Slides • 4 Questions
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Thursday, January 9, 2025
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Open Ended
Which one doesn't belong
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Congruent Triangle Theorems
SSS, SAS, ASA, AAS, HL
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4) 01-09-2025 -NOTES- SSS SAS, ASA with Congruent Triangles
Follow along to make sure notes are complete and correct-This will be quick!
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Corresponding Parts
In a previous lesson, you learned that if all six pairs of corresponding parts (sides and angles) are congruent, then the triangles are congruent
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Match
Match the congruent parts
Angle A
EF
FE
∠B
∠F
Angle D
Angle D
BC
CB
∠E
∠C
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Multiple Choice
If ∆LMK ≅ ∆LMT, then ∠K ≅ ____
MT
∠T
∠M
∠L
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Do you need to show that all six parts are congruent???
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Triangle Congruence Shortcuts
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Side-Angle-Side (SAS)
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What is an Included Angle?
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Name the Included Angle...
***For this activity, complete problem #2 on your paper!
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Name the Included Angle...
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Name the Included Angle...
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Angle-Side-Angle (ASA)
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Angle-Side-Angle (ASA)
If two angles and the included side of one triangle are congruent to the two angles and the Included side of another triangle, then the triangles are congruent.
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What is an Included Side?
The side between two angles
This combo is called angle-side-angle, or just ASA.
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Name the Included Side...
***For this activity, complete problem #3 on your paper!
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Name the Included Side...
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Name the Included Side...
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Name the Included Side...
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Warning: No SSA Postulate
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Warning: No SSA Postulate
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BUT: SSA DOES work in one situation!
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WE CALL THIS...
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Hypotenuse-Leg (HL)
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.
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Hypotenuse-Leg (HL)
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Side-Side-Side (SSS)
If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.
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Side-Side-Side (SSS)
If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.
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Poll
What is your confidence level on using CPCTC, SSS, SAS, and ASA with congruent triangles?
Super Confident
Confident
I may have a few questions
I'm lost!
Thursday, January 9, 2025
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