Discovering the Magic of ASA and AAS Congruence in Triangles
ASA proves two triangles congruent from two angles and the side between them. AAS uses two angles and a side that is not between them, and it works because knowing two angles fixes the third.
Type the problems from this lesson and check each step.
- 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.
Worked examples: ASA and AAS congruence
Practice questions on ASA and AAS congruence
- 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?
- 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?
- No
- Yes
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