MA19.GDA.26

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

MA19.GDA.26
Verify experimentally the properties of dilations given by a center and a scale factor.

Unpacked Content

Knowledge

Students know:

Methods for finding the length of line segments (both in a coordinate plane and through measurement).
Dilations may be performed on polygons by drawing lines through the center of dilation and each vertex of the polygon then marking off a line segment changed from the original by the scale factor.

Skills

Students are able to:

Accurately create a new image from a center of dilation, a scale factor, and an image.
Accurately find the length of line segments and ratios of line segments.
Communicate with logical reasoning a conjecture of generalization from experimental results.

Understanding

Students understand that:

A dilation uses a center and line segments through vertex points to create an image which is similar to the original image but in a ratio specified by the scale factor.
The ratio of the line segment formed from the center of dilation to a vertex in the new image and the corresponding vertex in the original image is equal to the scale factor.

Vocabulary

Dilations
Center
Scale factor

Aligned Learning Resources

Comparing Powers of 10

Completing the Square (Part 2)

Congruent vs Similar Triangles

Design by Adaptive Theme