Standard 2: Understand similarity and congruence using models and transformations.

General Information
Number: MA.8.GR.2
Title: Understand similarity and congruence using models and transformations.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 8
Strand: Geometric Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.8.GR.2.AP.1

Given two figures on a coordinate plane, identify if the image is translated, rotated, or reflected.


MA.8.GR.2.AP.2
Given a preimage and image describe the effect the dilation has on the two figures.
MA.8.GR.2.AP.3

Identify the coordinates of the vertices of a common polygon after a single translation, rotation, or dilation on the coordinate plane.


MA.8.GR.2.AP.4
Use tools to solve mathematical problems using proportions between similar triangles.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Formative Assessments

Define a Translation:

Students are asked to develop a definition for translation.

Type: Formative Assessment

Define a Rotation:

Students are asked to develop a definition of rotation.

Type: Formative Assessment

Define a Reflection:

Students are asked to develop a definition of reflection.

Type: Formative Assessment

Angle Transformations:

Students are given the opportunity to experimentally verify the properties of angle transformations (translations, reflections, and rotations).

Type: Formative Assessment

Segment Transformations:

Students are given the opportunity to experimentally verify the properties of segment transformations (translations, reflections, and rotations).

Type: Formative Assessment

Parallel Line Transformations:

Students are given the opportunity to experimentally verify the properties of parallel line transformations (translations, reflections, and rotations).

Type: Formative Assessment

Translation Coordinates:

Students are asked to translate two-dimensional figures in the coordinate plane and identify the coordinates of the vertices of the images.

Type: Formative Assessment

Rotation Coordinates:

Students are asked to rotate two-dimensional figures in the coordinate plane and identify the coordinates of the vertices of the images.

Type: Formative Assessment

Reflection Coordinates:

Students are asked to reflect two-dimensional figures in the coordinate plane and identify the coordinates of the vertices of the images.

Type: Formative Assessment

Dilation Coordinates:

Students are asked to dilate two-dimensional figures in the coordinate plane and identify the coordinates of the vertices of the images.

Type: Formative Assessment

Transformations of Rectangles and Squares:

Students are asked to describe the rotations and reflections that carry a rectangle and a square onto itself.

Type: Formative Assessment

Transformations of Parallelograms and Rhombi:

Students are asked to describe the rotations and reflections that carry a parallelogram and rhombus onto itself.

Type: Formative Assessment

Transformations of Trapezoids:

Students are asked to describe the rotations and reflections that carry a trapezoid onto itself.

Type: Formative Assessment

Transformations of Regular Polygons:

Students are asked to describe the rotations and reflections that carry a regular polygon onto itself.

Type: Formative Assessment

Lesson Plans

Slide to the Left... Slide to the Right!:

Students will identify, review, and analyze transformations. They will demonstrate their understanding of transformations in the coordinate plane by creating original graphs of polygons and the images that result from specific transformations.

Type: Lesson Plan

How does scale factor affect the areas and perimeters of similar figures?:

In this lesson plan, students will observe and record the linear dimensions of similar figures, and then discover how the values of area and perimeter are related to the ratio of the linear dimensions of the figures.

Type: Lesson Plan

Perspectives Video: Professional/Enthusiast

All Circles Are Similar- Especially Circular Pizza!:

What better way to demonstrate that all circles are similar then to use pizzas! Gaines Street Pies explains how all pizza pies are similar through transformations.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Perspectives Video: Teaching Idea

Measuring Height with Triangles and Mirrors:

Reflect for a moment on how to measure tall objects with mirrors and mathematics.

Type: Perspectives Video: Teaching Idea

Student Resources

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Parent Resources

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