Type:

Unit

Description:

Students must consider how to prove that dilations map segments to segments when the segment is not tied to the coordinate plane.  We again call upon our knowledge of the triangle side splitter theorem to show that a dilation maps a segment to a segment.  The goal of the lesson is for students to understand the effect that dilation has on segments, specifically that a dilation will map a segment to a segment so that its length is  times the original.Teacher and Student versions of full lesson from engageNY

Subjects:

  • Mathematics > General
  • Mathematics > Geometry

Education Levels:

  • Grade 9
  • Grade 10

Keywords:

dilations

Language:

English

Access Privileges:

Public - Available to anyone

License Deed:

Creative Commons Attribution Non-Commercial Share Alike

Collections:

Teacher Resources
Update Standards?

CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics

Reason abstractly and quantitatively.

CCSS.Math.Practice.MP5: Common Core State Standards for Mathematics

Use appropriate tools strategically.

CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics

Attend to precision.

CCSS.Math.Practice.MP7: Common Core State Standards for Mathematics

Look for and make use of structure.

CCSS.Math.Content.HSG-SRT.A.1a: Common Core State Standards for Mathematics

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.
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