Mathematics | Course : Model Mathematics I (Integrated Pathway)
Domain - Congruence
Cluster - Experiment with transformations in the plane.
[MI.G-CO.A.3] - Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
- Reflection
A type of transformation that flips points about a line, called the line of reflection. Taken together, the image and the pre-image have the line of reflection as a line of symmetry. - Rotation
A type of transformation that turns a figure about a fixed point, called the center of rotation. - Trapezoid
A quadrilateral with at least one pair of parallel sides. (Note: There are two definitions for the term trapezoid. This is the inclusive definition.
[MI.G-CO.A.5] -
Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
[MII.G-SRT.A.2] -
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.