Discovering the Magic of ASA and AAS Congruence in Triangles

• Ensure you know the magnitudes of two angles and the length of the included side for both triangles.
• Compare these angles and the side.
• If both conditions are met, then the triangles are congruent.

• Make sure you know the magnitudes of two angles and the length of a side (that’s not between the two angles) for both triangles.
• Compare these angles and the side.
• If all match, then the triangles are congruent.

Examples

Practice Questions:

1. Are triangles with angles \(60^{\circ}\) and \(80^{\circ}\), and a non-included side of \(10 \text{ cm}\), and another triangle with angles \(60^{\circ}\) and \(80^{\circ}\), with a non-included side of \(11 \text{ cm}\) congruent by the AAS postulate?
2. Are triangles with angles \(70^{\circ}\) and \(110^{\circ}\), and an included side of \(12 \text{ cm}\), and another triangle with angles \(70^{\circ}\) and \(110^{\circ}\), with an included side of \(12 \text{ cm}\) congruent by the ASA postulate?

1. No
2. Yes

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