Learning Goal: Assess conceptual and procedural fluency for triangle congruence proofs, and reassess compositions of transformations.
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- 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.SRT.B.5 – Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
- 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
- G.6(B) – prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions