Topic 7
Similar Triangles
Similar Triangles
Lesson 1
Lesson 1
Lesson 2
Lesson 2
- Dilations Bookwork
Lesson 3
Lesson 3
Lesson 4
Lesson 4
Lesson 5
Lesson 5
- Similar Triangles Bookwork
Lesson 6
Lesson 6
Review Day
Review Day
Test Day
Test Day
Online Assignments
Online Assignments
Due February 7
Due February 7
Due February 11
Due February 11
Due February 12
Due February 12
Due February 13
Due February 13
Due February 18
Due February 18
Due February 19
Due February 19
Due February 20
Due February 20
Due February 24
Due February 24
- Use links at left to study!
By the end of the unit the student will...
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.