A little background

Objectives

  • Students know the definition of similar and why dilation alone is not enough to determine similarity.
  • Given two similar figures, students describe the sequence of a dilation and a congruence that would map one figure onto the other.
  • Students know that similarity is both a symmetric and a transitive relation.
  • Students know an informal proof of the Angle-Angle (AA) criterion for similar triangles.
  • Students present informal arguments as to whether or not triangles are similar based on Angle - Angle criterion.
  • Students present informal arguments as to whether or not two triangles are similar.
  • Students practice finding lengths of correspon ding sides of similar triangles.
  • Students use properties of similar triangles to solve real-world problems.

Prior Knowledge

  • Geometry2-D Shapes
  • GeometryTriangles
8.G.A.5 8.G.A.4
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