Angle Side Angle Triangle Congruence

Angle Side Angle Triangle Congruence Theorem Exploration

Question 1:

Move the slider on the left triangle to change the side length AB. Move point A, B, and C to change the size and angle measure of ABC. Does the wire frame triangle DEH on the right side appear to be congruent to ABC?

Check all that apply
  • A
  • B

Question 2:

Can both triangles, A'B'C' and DEH, be moved (transformed )so that they overlap each other? Use the ray (vector) to move triangle A'B'C'.

Check all that apply
  • A
  • B

Note:

Geometric transformations preserve shape and size (side length and angle measure). Transformations can be used to show that two or more shapes are congruent by moving (transform) these shapes so they overlap (map onto) each other. You can slide (translate), flip (reflect), or rotate and object to move its' position.