Can you conclude that triangle GHF is congruent to triangle GJK? Explain.
Sample Response: To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence. What did you include in your response? Check all that apply.Congruent, corresponding side lengths are needed.The triangles need corresponding, congruent sides to be congruent.Once congruent sides are known, the AS
If two triangles have three congruent, corresponding angles, what additional information is needed to prove that the triangles are congruent?
To prove that the triangles are congruent, you would need to know that at least one pair of corresponding side lengths is also congruent. Having congruent corresponding angles only proves that the triangles are similar. Once a pair of congruent corresponding sides is identified, the triangles can be proven congruent using the ASA (Angle-Side-Angle) or AAS (Angle-Angle-Side) congruence theorems.
During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.
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