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More Lessons for Grade 8 Math

Math Worksheets

Examples, solutions, videos, worksheets, stories, and lessons to help Grade 8 students learn how to determine if two triangles are similar.

**Triangle Similarity - AA SSS SAS & AAA Postulates**

Proving Similar Triangles, Two Column Proofs

How to use two column proofs in order to prove if two triangles are similar using the mostly the AA postulates.

Other triangle similarity postulates mentioned are the AAA, SSS, and SAS postulates. Theorems used in this video include the base angle theorem, theorems associated with parallel lines, alternate interior angle theorem, vertical angles, reflexive property, definition of an altitude, right angle congruence, and more.
**Similar Triangle Proofs**

Students learn that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar (Angle-Angle Similarity Postulate, or AA Similarity Postulate). Students also learn that the scale factor is ratio of the lengths of two corresponding sides. Students are then asked to use these concepts to determine whether given triangles are similar, and to find the missing side lengths in similar triangles.

**Proving Triangles are Similar**

Students learn the following theorems related to similar triangles.
**Similar Triangles in Right Triangles**

If an altitude is drawn from the right angle in a right triangle, three similar triangles are formed, also because of the AA shortcut.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 8 Math

Math Worksheets

Examples, solutions, videos, worksheets, stories, and lessons to help Grade 8 students learn how to determine if two triangles are similar.

Proving Similar Triangles, Two Column Proofs

How to use two column proofs in order to prove if two triangles are similar using the mostly the AA postulates.

Other triangle similarity postulates mentioned are the AAA, SSS, and SAS postulates. Theorems used in this video include the base angle theorem, theorems associated with parallel lines, alternate interior angle theorem, vertical angles, reflexive property, definition of an altitude, right angle congruence, and more.

Students learn that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar (Angle-Angle Similarity Postulate, or AA Similarity Postulate). Students also learn that the scale factor is ratio of the lengths of two corresponding sides. Students are then asked to use these concepts to determine whether given triangles are similar, and to find the missing side lengths in similar triangles.

Students learn the following theorems related to similar triangles.

If an altitude is drawn from the right angle in a right triangle, three similar triangles are formed, also because of the AA shortcut.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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