Similarity, Right Triangles, & Trigonometry

  • Understand Similarity In Terms Of Similarity Transformations
    • G.SRT.1
      Verify experimentally the properties...
      more
    • G.SRT.1.a
      A dilation takes a line not passing ...
      more
    • G.SRT.1.b
      The dilation of a line segment is lo...
      more
    • G.SRT.2
      Given two figures, use the definitio...
      more
    • G.SRT.3
      Use the properties of similarity tra...
      more
  • Prove Theorems Involving Similarity
    • G.SRT.4
      Prove theorems about triangles. Theo...
      more
    • G.SRT.5
      Use congruence and similarity criter...
      more
  • Define Trigonometric Ratios And Solve Problems Involving Right Triangles
    • G.SRT.6
      Understand that by similarity, side ...
      more
    • G.SRT.7
      Explain and use the relationship bet...
      more
    • G.SRT.8
      Use trigonometric ratios and the Pyt...
      more
  • Apply Trigonometry To General Triangles
    • G.SRT.9
      (+) Derive the formula A = 1/2 ab si...
      more
    • G.SRT.10
      (+) Prove the Laws of Sines and Cosi...
      more
    • G.SRT.11
      (+) Understand and apply the Law of ...
      more
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Grade level

  • K-2
  • 3-5
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  • 9-12
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Playing with Dilations (NLVM)

(1 vote)

Scale Factor (NCTM)

(1 vote)

Squares on a Triangle (NCTM)

(1 vote)

Congruence Theorems (NCTM)

(1 vote)

Self-Check Quizzes-Similar Triangles (Glencoe)

Solve problems involving similar triangles in this short quiz.

Exploring Similarity and Congruence (Learn Alberta)

(1 vote)

Exploring Dilatations - Use it! (Learn Alberta)

(1 vote)

Triangle Solver (NLVM)

Similarity

Can you tell if triangles are similar? Learn about triangle similarity and test yourself.

Similar Triangles

Explore different ways of determining if triangles are similar by using transformations.

Triangle Similarity Test - Three Sides in Proportion (SSS)

Learn how to use the triangle similarity test to determine triangle similarity.

Find Missing Sides and Angles of Similar Triangles

Watch this collection of videos learn how to find missing sides and angles of similar triangles.

(1 vote)

Congruent and Similar Shapes Quiz: Test Bite (BBC)

Test your knowledge of congruent and similar shapes.

(1 vote)

Similar Triangles

Watch this video to learn how to calculate the missing side of a similar triangle using ratios.

(1 vote)

Playing with Dilations (NLVM)

(1 vote)

Scale Factor (NCTM)

(1 vote)

Squares on a Triangle (NCTM)

(1 vote)

Congruence Theorems (NCTM)

(1 vote)

The Law of Sines

In this visual proof, understand how the Law of Sines is used in trigonometry.

The Law of Cosines

Understanding the Law of Cosines will open the world of trigonometry to you with this visualization.

Three Similar Triangles: What Is It About?

Explore a proof for similar triangles.

Self-Check Quizzes-Similar Triangles (Glencoe)

Solve problems involving similar triangles in this short quiz.

Exploring Similarity and Congruence (Learn Alberta)

(1 vote)

Exploring Dilatations - Use it! (Learn Alberta)

(1 vote)

Solving Acute, and Obtuse Triangles Using Law of Sines, and Law of Cosines.

Work through problems using the Law of Sines and the Law of Cosines.

Triangle Solver (NLVM)

Hotmath Practice Problems

Solve general triangles using the Law of Sines and Law of Cosines.

Statics Trig: Law of Cosines

Apply the Law of Cosines to finding resultant forces in this interactive physics tutorial.

Similarity in a Right Triangle: Similar Triangles Inside a Right Triangle with an Altitude from the Right Angle.

Visualize how drawing from the right angle of a right triangle creates three similar triangles.

Similar Triangles - Ratio of Areas

Explore similar triangles and proportionality of side lengths and areas.

Similar Triangles - Ratios of Parts

Observe how the parts of similar triangles are always in proportion to one another.

Triangle Similarity Test - Two Sides and Included Angle (SAS)

Learn how to use SAS (side-angle-side) to determine triangle similarity.

Similarity

Can you tell if triangles are similar? Learn about triangle similarity and test yourself.

Similar Triangles

Explore different ways of determining if triangles are similar by using transformations.

Triangle Similarity Test - Three Sides in Proportion (SSS)

Learn how to use the triangle similarity test to determine triangle similarity.

Area of Triangles Without Right Angles (Math is Fun)

(1 vote)

Theorems About Similar Triangles (Math is Fun)

(1 vote)

Proof: Similar Triangles 2

Create a two-column proof involving the similar triangle side-splitter theorem.

Proof: Similar Triangles 3

In this activity, create a two-column proof involving similar triangles.

Proof: Similar Triangles 4

Create a two-column proof involving the similar triangle side-splitter theorem.

Using Similar Triangles

In this destination find the missing side lengths in similar triangles.

Similar Triangles (Annenberg)

Estimate the heights of trees, flagpoles, buildings, and more by using similarity and shadows.

Trigonometry Ratios in Right Triangles

Explore the trigonometric ratios or sine, cosine and tangent with this interactive right triangle.

Angles of Elevation and Depression in Right Trigonometry with Sine, Cosine, and Tangent Ratios.

Use the trig ratios to solve word problems involving right triangles.

Solving Right Triangle Problems

Play a matching game, watch a lesson and solve right triangles in this multi-layered activity.

The Trigonometric Ratios (Pearson)

How fast can you find the values of trigonometric ratios? Find out by playing this game.

Discovering the Trig Ratios

Where do sine, cosine and tangent come from? Find out for yourself with this activity and applet.

Find Missing Sides and Angles of Similar Triangles

Watch this collection of videos learn how to find missing sides and angles of similar triangles.

(1 vote)

Congruent and Similar Shapes Quiz: Test Bite (BBC)

Test your knowledge of congruent and similar shapes.

(1 vote)

Similar Triangles

Watch this video to learn how to calculate the missing side of a similar triangle using ratios.

(1 vote)

Playing with Dilations (NLVM)

(1 vote)

Scale Factor (NCTM)

(1 vote)

Squares on a Triangle (NCTM)

(1 vote)

Congruence Theorems (NCTM)

(1 vote)

The Law of Sines

In this visual proof, understand how the Law of Sines is used in trigonometry.

The Law of Cosines

Understanding the Law of Cosines will open the world of trigonometry to you with this visualization.

Three Similar Triangles: What Is It About?

Explore a proof for similar triangles.

Self-Check Quizzes-Similar Triangles (Glencoe)

Solve problems involving similar triangles in this short quiz.

Exploring Similarity and Congruence (Learn Alberta)

(1 vote)

Exploring Dilatations - Use it! (Learn Alberta)

(1 vote)

Solving Acute, and Obtuse Triangles Using Law of Sines, and Law of Cosines.

Work through problems using the Law of Sines and the Law of Cosines.

Triangle Solver (NLVM)

Hotmath Practice Problems

Solve general triangles using the Law of Sines and Law of Cosines.

Statics Trig: Law of Cosines

Apply the Law of Cosines to finding resultant forces in this interactive physics tutorial.

Similarity in a Right Triangle: Similar Triangles Inside a Right Triangle with an Altitude from the Right Angle.

Visualize how drawing from the right angle of a right triangle creates three similar triangles.

Similar Triangles - Ratio of Areas

Explore similar triangles and proportionality of side lengths and areas.

Similar Triangles - Ratios of Parts

Observe how the parts of similar triangles are always in proportion to one another.

Triangle Similarity Test - Two Sides and Included Angle (SAS)

Learn how to use SAS (side-angle-side) to determine triangle similarity.

Similarity

Can you tell if triangles are similar? Learn about triangle similarity and test yourself.

Similar Triangles

Explore different ways of determining if triangles are similar by using transformations.

Triangle Similarity Test - Three Sides in Proportion (SSS)

Learn how to use the triangle similarity test to determine triangle similarity.

Area of Triangles Without Right Angles (Math is Fun)

(1 vote)

Theorems About Similar Triangles (Math is Fun)

(1 vote)

Proof: Similar Triangles 2

Create a two-column proof involving the similar triangle side-splitter theorem.

Proof: Similar Triangles 3

In this activity, create a two-column proof involving similar triangles.

Proof: Similar Triangles 4

Create a two-column proof involving the similar triangle side-splitter theorem.

Using Similar Triangles

In this destination find the missing side lengths in similar triangles.

Similar Triangles (Annenberg)

Estimate the heights of trees, flagpoles, buildings, and more by using similarity and shadows.

Trigonometry Ratios in Right Triangles

Explore the trigonometric ratios or sine, cosine and tangent with this interactive right triangle.

Angles of Elevation and Depression in Right Trigonometry with Sine, Cosine, and Tangent Ratios.

Use the trig ratios to solve word problems involving right triangles.

Solving Right Triangle Problems

Play a matching game, watch a lesson and solve right triangles in this multi-layered activity.

The Trigonometric Ratios (Pearson)

How fast can you find the values of trigonometric ratios? Find out by playing this game.

Discovering the Trig Ratios

Where do sine, cosine and tangent come from? Find out for yourself with this activity and applet.

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