Evidence of Understanding

**describe the criteria for congruence and justify why corresponding parts of congruent triangles must be congruent**(CPCTC)- identify corresponding parts of congruent triangles
- write congruence statements based on notations in a diagram
- re-draw and re-orient diagrams to highlight corresponding parts of congruent triangles

**prove two triangles are congruent**- explain the congruence between two triangles using rigid motion transformations or constructions
- identify corresponding congruent parts and apply the criteria of
**SSS, SAS, ASA,**or**AAS**- prove two right triangles are congruent when corresponding
**Hypotenuse-Leg**(HL) are congruent

- prove two right triangles are congruent when corresponding
- discern when and how to use definitions and the transitive and reflexive properties to establish necessary criteria to prove two triangles are congruent

**decompose polygons, parallelograms, and triangles to prove congruence**- prove that the base angles of an isosceles triangle are congruent
- apply CPCTC to prove that the opposite angles (base angles) of the given sides are congruent

- prove a
**parallelogram**is composed of two congruent triangles- explore and describe when a parallelogram is composed of four congruent triangles

- prove that a regular hexagon is composed of 6 congruent, equilateral triangles

- prove that the base angles of an isosceles triangle are congruent

Develop conceptual understanding:

corresponding parts of congruent triangles are congruent (CPCTC), SSS, ASA, AAS, SAS, Hypotenuse-Leg, base angles, perpendicular bisector, opposite angle/side, parallelogramSupporting terms to communicate:

corresponding, construct, rotate, reflect, translate, triangle, isosceles, equilateral, scalene, right, acute, obtuse, congruence, equidistant, reflexive property, transitive property, parallel