Question: How do you dilate a figure on the coordinate plane? How are dilations and functions related? How do you determine the scale factor of dilation?

  • How do you dilate a figure on the coordinate plane?
  • How are dilations and functions related?
  • How do you determine the scale factor of dilation?
  • How are segments within a pre-image and an image of a figure related after the figure is dilated?

  • How do you determine if polygons are similar?
  • What relationships are formed by corresponding angles of similar polygons?
  • What relationships are formed by corresponding sides of similar polygons?

How do you determine if two triangles are similar?

  • How do you use congruence and similarity criteria to solve problems in geometric figures?
  • How do you use congruence and similarity criteria to prove relationships in geometric figures?

  • How can postulates and theorems relating to similar and congruent triangles be used to write a proof?
  • How can properties of similarity and congruence of triangles be applied to writing proofs about other figures?
  • How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof?
  • Triangle Proportionality Theorem
  • The Converse of the Triangle Proportionality Theorem
  • Pythagorean Theorem, using Similar Triangles
  • The Converse of the Pythagorean Theorem

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