MA19.GDA.28

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.28

Verify criteria for showing triangles are similar using a similarity transformation (sequence of rigid motions and dilations) that maps one triangle to another.

Unpacked Content

Knowledge

Students know:
  • The sum of the measures of the angles of a triangle is 180 degrees.
  • Properties of rigid motions and dilations.
  • Definition of similarity in terms of similarity transformations.
  • Techniques for producing images under a dilation and rigid motions.

Skills

Students are able to:
  • Apply rigid motion and dilation to a figure.
  • Explain and justify whether or not one figure can be obtained from another through a combination of rigid motion and dilation.

Understanding

Students understand that:
  • A figure that may be obtained from another through a dilation and a combination of translations, reflections, and rotations is similar to the original.
  • When a figure is similar to another the measures of all corresponding angles are equal, and all of the corresponding sides are in the same proportion.

Vocabulary

  • Similarity transformation
  • Similarity
  • Proportionality
  • Corresponding pairs of angles
  • Corresponding pairs of sides
  • Similarity criteria for triangles
  • Rigid Motion
ALSDE LOGO

This site may contain links to other websites or content belonging to or originating from third parties or links to websites and features in banners or other advertising. Such external links are not investigated, monitored, or checked for accuracy, adequacy, validity, reliability, availability, or completeness by us. WE DO NOT WARRANT, ENDORSE, GUARANTEE, OR ASSUME RESPONSIBILITY FOR THE ACCURACY OR RELIABILITY OF ANY INFORMATION OFFERED BY THIRD-PARTY WEBSITES LINKED THROUGH THIS SITE.
Alabama Learning Exchange © 2002-2023 by Alabama State Department of Education is licensed under Attribution-NonCommercial-ShareAlike 4.0 International

Design by Adaptive Theme