GEOM.MATH.6.B
Prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
trianglescongruenceSide-Angle-Side (SAS)Angle-Side-Angle (ASA)Side-Side-Side (SSS)Angle-Angle-Side (AAS)Hypotenuse-Leg (HL)prooftheoremcorresponding partsmethods of proof
Skills
- prove (two triangles are congruent) #dok3
- identify (congruence conditions: SAS, ASA, SSS, AAS, HL) #dok1
- select (appropriate congruence postulates or theorems based on triangle information) #dok2
- justify (the congruence of two triangles using formal mathematical reasoning) #dok3
- apply (triangle congruence to solve geometric problems) #dok2
Learning Targets
- I can identify the criteria for triangle congruence, including SAS, ASA, SSS, AAS, and HL. #dok1
- I can select the correct congruence condition based on the given information in a problem. #dok2
- I can apply triangle congruence to solve problems involving geometric figures. #dok2
- I can construct a proof to show that two triangles are congruent using the given conditions. #dok3
- I can justify the congruence of triangles using valid reasoning and supporting evidence. #dok3
Big Ideas
- Different combinations of sides and angles can prove two triangles are exactly the same in size and shape.
- Proving triangles are congruent allows us to establish further relationships and properties within geometric figures.
Essential Questions
- What conditions must be met in order for two triangles to be congruent?
- How can you determine which triangle congruence condition applies in a given problem?
- Why is proving triangle congruence important in geometry?
- How do you construct a logical proof to verify that two triangles are congruent?
- How can triangle congruence help solve real-world or mathematical problems?