Are Triangles Congruent? Task Assessment
Geometric Standards:
- HSG-CO.A: Experiment with transformations in the plane
- HSG-CO.B: Understand congruence in terms of rigid motions
1)
1) ABCD is a trapezoid with AB ll CD, and M is the midpoint of side AB. Explore the trapezoid above by moving point A, B, C, or D to create different trapezoids. Decide whether there is enough information to prove that the red triangles are congruent for all types of trapezoids. Explain in detail your reasoning.
2)
2) ABCD is a parallelogram. Explore the parallelogram above by moving points A, B, or C to create different parallelograms. Decide whether there is enough information to prove that the green triangles are congruent for all parallelograms. Explain in detail your reasoning.