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Side-Angle-Side (SAS): Quick Exploration

Author:Tim Brzezinski
Below, we have two triangles. All we know here is 2 sides and their included angle of one triangle are congruent to 2 sides and their included angle of the other 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?

Select all that apply
  • A
  • B
Check my answer (3)

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

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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?

Select all that apply
  • A
  • B
Check my answer (3)

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

Select all that apply
  • A
  • B
  • C
Check my answer (3)

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