Formative Assessment Day 1

Proving two things are the Same

• Definition 1: A congruence is a set of rotations, reflections, and translations that maps one figure onto another.

  • Two shapes are called congruent if and only if there exists a Congruence that maps one onto the other.

Congruence

Important Definition!!!

Poll

What is a mathematician most likely to do with the two shapes in this image?

• Prove that the shapes are congruent.

• Prove that the shapes are not congruent.

• Argue that the shapes are the same because they are polygons.

• Argue that the shapes are different because they are not the same type of polygon.

Open Ended

What does a mathematician need to show to prove that the shapes are not congruent?

Poll

What kind of evidence can the mathematician use?

• Definitions and Theorems

• Textual Evidence

• Pathos: Appeal to emotion

• Cite another Mathematician's proof that they are not congruent.

Draw

Draw a shape that is congruent to ABCDE.

Open Ended

Explain how you created the shape you drew in the last question.

(Hint: Did you imagine flipping, turning, or sliding the shape?)