Unit Plan
Sophia Learning

Sophia: Similarity

For Students 9th - 10th Standards
This learning tutorial describes the characteristics of similar figures and how to use scale factor and proportions to determine missing side lengths. The lesson includes PowerPoint presentations and videos demonstrating how to solve...
Activity
Texas Instruments

Texas Instruments: Similar Triangles and Proportions

For Teachers 9th - 10th Standards
In this activity, students will investigate the relationship among the similar triangles formed when a segment is constructed parallel to one side of a triangle. They will explore the various ratios that exist between the lengths of the...
Lesson Plan
Texas Instruments

Texas Instruments: Dilations in the Plane (Transformations)

For Teachers 9th - 10th Standards
In this activity, students will explore the properties of dilations and the relationships between the original and image figures.
Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Determining Triangle Similarity

For Students 9th - 10th Standards
Dr. Math responds to a question about how to determine if two triangles are similar. The Dr. goes into detail about the process and gives several examples that are worked out for you.
Activity
Analyze Math

Analyze Math: Similar Triangle Examples

For Students 9th - 10th Standards
The geometry tutorial investigates similar triangles. Students learn about the definitions and theorems of similar triangles. Topics included are angle-angle, side-side-side, and side-angle-side similarity. The activity has several...
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Similar Figures

For Students 9th - 10th Standards
Find a clear explanation of similar figures. Discusses how they can be transformed through a sequence of rotations, reflections, translations, and dilations. Explanations are supported with illustrated examples.
Handout
Science Struck

Science Struck: Similarity Statement in Geometry With Examples

For Students 9th - 10th Standards
Models how to write a similarity statement about different types of triangles and quadrilaterals.
eBook
Math Planet

Math Planet: Algebra 1: Similar Figures

For Students 9th - 10th Standards
Provides examples that illustrate similar triangles.
eBook
Math Planet

Math Planet: Geometry: Similarity: Polygons

For Students 9th - 10th Standards
Provides an explanation, examples, and a video lesson all related to similar polygons. [0:54]
Unknown Type
Khan Academy

Khan Academy: Similarity and Transformations

For Students 9th - 10th Standards
Given two polygons, try to map one onto the other using angle-preserving transformations, and determine whether they are similar. Transformations are done in "intuitive mode." Students receive immediate feedback and have the opportunity...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Properties of Congruent Triangles

For Teachers 9th - 10th Standards
The goal of this task is to understand how congruence of triangles, defined in terms of rigid motions, relates to the corresponding sides and angles of triangles. Aligns with G-CO.B.7.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Midpoints of Triangle Sides

For Teachers 9th - 10th Standards
The goal of this task is to use similarity transformations to relate two triangles. The triangles are obtained by taking midpoints of two sides of a given triangle. Aligns with HSG-CO.C.10.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Co Showing a Triangle Congruence: A Particular Case

For Teachers 9th - 10th Standards
Given two congruent triangles, students are asked to analyze the effects of different transformations. Aligns with G-CO.A.5.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Similar Triangles

For Teachers 9th - 10th Standards
This task works toward establishing the AA criterion for similarity of triangles. Learners are asked to provide a detailed sequence of transformations that moves one of the given triangles onto the other. Aligns with G-SRT.A.3.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Similar Triangles

For Teachers 9th - 10th Standards
The goal of this task is to examine similarity of triangles from the point of view of proportional sides, showing that this is sufficient to conclude that two triangles are similar. Aligns with HSG-SRT.A.2.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Are They Similar?

For Teachers 9th - 10th Standards
In this task, students are shown two triangles that appear to be similar, but whose similarity cannot be proven without further information. Students are asked to provide a sequence of similarity transformations that maps one triangle to...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Srt Similar Quadrilaterals

For Teachers 9th - 10th Standards
The goal of this task is to study if the analog of the AA criterion for similarity of triangles holds for different types of quadrilaterals. Aligns with HSG-SRT.A.2.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Sss Similarity

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Use the SSS Similarity Theorem to determine if triangles are similar.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Aa Similarity

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Use the AA Similarity Postulate to determine if triangles are similar.
Handout
CK-12 Foundation

Ck 12: Geometry: Polygon Similarity Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This study guide looks at similar polygons, scale factor (ratio), and triangle similarity.
Handout
CK-12 Foundation

Ck 12: Geometry: Right Triangle Similarity Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] An overview of altitudes and geometric mean is provided in this study guide.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Dilation

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students explore geometric dilations. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Area and Perimeter of Similar Polygons

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the ratios of the perimeters and areas of similar polygons. Students examine guided notes, review guided practice, watch instructional...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Dilation

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students learn to dilate a figure. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.