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- HSG-SRT.A.1Verify experimentally the properties of dilations given by a center and a scale factor:
- HSG-SRT.A.2Given 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 the proportionality of all corresponding pairs of sides.
- HSG-SRT.A.3Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

Perspective Art Project

8th Grade Math

Â» Unit:

Linear Equations in two Variables

Big Idea:This project is fun, fun, fun for students and also so educational on a middle school and high school level connecting dilations, similar figures, and 3-D art!

Dilations on the Coordinate Plane, Center (0, 0)

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students dilate objects on the coordinate plane and identify the scale factor of dilations that take a pre-image to an image.

Dilations on the Coordinate Plane, Center (h, k)

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students will practice performing and describing dilations with centers other than (0, 0) and scale factors greater than one or between zero and one.

Dilation Tasks

Geometry

Â» Unit:

Similarity

Big Idea:Taking dilations to task. In this lesson, students will demonstrate their mastery of dilations by tackling challenging problems and tasks.

Making Connections Between Art Project and Dilations Day 1 of 3

8th Grade Math

Â» Unit:

Linear Equations in two Variables

Big Idea:This lesson will really help your students connect the dots between the perspective art project and the math of performing dilations on the coordinate plane using similar triangles.

HSG-SRT.A.1a

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.

HSG-SRT.A.1b

The dilation of a line segment is longer or shorter in the ratio given by the scale factor.