Evidence of Understanding

**describe qualities that make two polygons congruent or incongruent**- identify
**corresponding parts**(angles and sides) of polygons by annotating or redrawing- use tools (patty paper, paper folding, etc. to informally translate, reflect and/ or rotate) to map congruent polygons and place them “on top of” each other
- use notation to signify congruence

- use examples and non-examples to justifythat corresponding parts of congruent polygons and triangles are congruent (abbreviated as CPCTC for triangles)
- explore whether equal perimeters or areas mean figures are congruent (or vice versa: if figures are congruent then decide if their perimeters or areas are equal)

- identify
**justify two polygons are congruent using rigid motion transformations**- justify, using tools, how congruent parts match after a
**rigid motion**transformation- use notations to show corresponding parts between the
**pre-image**to the**image** - use coordinate notation with the plane to describe rigid motion transformations

- use notations to show corresponding parts between the
- identify and use thecenter, degree, and
**direction of rotation**to map a pre-image with its corresponding image - identify and use the
**line of reflection**to map a pre-image with its corresponding image- generate or apply the equation of the line of reflection in the coordinate plane
- use perpendicular bisectors to draw the line of reflection between a pre-image and its image, or draw the reflected image from a given pre-image and the line of reflection

- translate an image and justify the preservation of distance and orientation
- translate an angle by constructing
**parallel lines** - determine the
**translation vector**between an image and pre-image (in space or the coordinate plane)

- translate an angle by constructing

- justify, using tools, how congruent parts match after a
**prove two figures are congruent using a sequence of transformations**- describe the transformations that carry one figure onto another figure
- draw transformed images given a sequence of transformations performed on a pre-image

Develop conceptual understanding:

corresponding parts, rigid motion transformations, center of rotation, perpendicular bisectors, pre-image, image, line of reflection, translation vector, parallel lines, sequence of transformations

Supporting terms to communicate:

polygon, translate, reflect, rotate, clockwise, counter-clockwise, congruent, map, carry, construct, function notation, input, output, preserve, orientation