Problem preview

G-CO.7 Warmup M1-042-A11-V02

Use rigid motions to show triangle congruence through corresponding sides and angles.

Decide whether side-angle information proves triangle congruence

Problem

Is this enough information to prove triangle congruence: \(\text{three}~\text{angles}\) match?

Answer choices

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This is ASA, and it is enough to prove congruence because knowing angles is enough when the triangles line up the same way.

This is AAA, and it is not enough to prove congruence because three matching angles show the same shape but not necessarily the same size.

This is AAA, and it is enough to prove congruence because if all three angles match, the triangles must be exactly the same.

This is AAA, and it is enough to prove congruence because the third angle confirms the triangles have the same side lengths too.

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Curriculum context

Course: Math I
Standard: G-CO.7
Category: Geometry
Domain: Congruence
Objective: Use rigid motions to show triangle congruence through corresponding sides and angles.
Problem type: Decide whether side-angle information proves triangle congruence