Proving Triangle Congruence
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Objective
I can prove triangle congruence using SSS, SAS, ASA, and AAS.
Part 1 of 4
Warm-up video
Mashup Math · 7:25
We don't generate video — this one is by Mashup Math on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The five triangle congruence theorems are: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-Leg (HL).
- 2
The Side-Angle-Side (SAS) theorem requires that the congruent angle be in between the two congruent sides.
- 3
The Angle-Angle-Side (AAS) Theorem differs from Angle-Side-Angle (ASA) because the congruent angles are consecutive, meaning one after the other, with the congruent side next to them, not in between.
Part 3 of 4
Practice
9 questions
What does it mean for two triangles to be congruent?
Which of the following is NOT a valid triangle congruence theorem?
Part 4 of 4
Exit ticket
Quick comprehension check
“Triangles ABC and XYZ have AB ≅ XY, BC ≅ YZ, and CA ≅ ZX. Which congruence theorem proves that ΔABC ≅ ΔXYZ?”
Sample answer included in the free materials
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