Transformations and Congruence

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Topics Covered

• Rigid Transformations — Perform translations, reflections, and rotations on the coordinate plane.
• Triangle Congruence Theorems — Prove triangles congruent using SSS, SAS, ASA, AAS, and HL.
• Translation — Slide a figure across the coordinate plane using vectors and coordinate rules — the gentlest rigid transformation.
• Reflection — Flip a figure across a mirror line — the only basic rigid transformation that reverses orientation.
• Rotation — Turn a figure about a center point by a specified angle — preserves distance, angles, and orientation.

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