Angle-Side-Angle (ASA): Quick Exploration

Below, we have two triangles. All we know here is [b]2 angles and their included side [/b]of one triangle are congruent to [b]2 angles and their included side [/b]of another triangle.

Test to see if these two triangles are congruent by trying to place one on top of the other. Note: LARGE POINTS and some segments are moveable. The slider (lower left) controls the included angle measure.

Are the two triangles above congruent?

Yes No

If you answered YES to the question above, which rigid transformations did you use to superimpose one triangle on top of the other?

Rotation about point Translation by vector Reflection about line

Show the 2 triangles are congruent below. Reflect one triangle about the line if you need to. LARGE POINTS, some segments, and the slider are all MOVEABLE.

Are the two triangles above congruent?

No Yes

If you answered YES to the question above, which rigid transformations did you use to superimpose one triangle on top of the other?

Rotation about point Reflection about line Translation by vector

Angle-Side-Angle (ASA): Quick Exploration

Test to see if these two triangles are congruent by trying to place one on top of the other. Note: LARGE POINTS and some segments are moveable. The slider (lower left) controls the included angle measure.

Show the 2 triangles are congruent below. Reflect one triangle about the line if you need to. LARGE POINTS, some segments, and the slider are all MOVEABLE.

Information: Angle-Side-Angle (ASA): Quick Exploration