Topic 7

Online Assignments

Due February 7

Due February 11

Due February 12

Due February 13

Due February 18

Due February 19

Due February 20

Due February 24

  • Use links at left to study!

By the end of the unit the student will...

  • Represent transformations in the plane using transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.
  • Verify experimentally the properties of dilations given by a center and a scale factor:
    • A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
    • The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
  • Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and proportionality of all corresponding pairs of sides.
  • Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
  • Prove theorems about similar triangles:
    • A line parallel to one side of a triangle divides the other two proportionally.
  • Use congruence and similarity criteria for triangles to solve problems and prove relationships in Geometric figures
  • Find the point on a directed line segment between two given points that partitions the segment in a given ratio.