Learning Goal: Assess conceptual and procedural fluency for compositions of transformations, and reassess rotations & dilations.
- Common Core
- HSG.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.
- HSG.GPE.B.5 – Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
- G.2(C) – determine an equation of a line parallel or perpendicular to a given line that passes through a given point
- G.3(A) – describe and perform transformations of figures in a plane using coordinate notation
- G.3(B) – determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane
- G.3(C) – identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane