Triangle Similarity(intro)

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What is Triangle Similarity?

Back

Triangle similarity refers to the concept that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

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What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, which is a criterion for triangle similarity stating that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

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What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side, which is a criterion for triangle similarity stating that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side, which is a criterion for triangle similarity stating that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

If DE // KJ, what can be inferred about triangles formed with these lines?

Back

If DE is parallel to KJ, then the triangles formed with these lines and a transversal will be similar by the Basic Proportionality Theorem.

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What is the Basic Proportionality Theorem?

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The Basic Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

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How can you determine if two triangles are similar using proportions?

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You can determine if two triangles are similar by setting up a proportion between the lengths of corresponding sides and checking if the ratios are equal.

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What is the significance of corresponding angles in triangle similarity?

Back

Corresponding angles in triangle similarity are significant because if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

Can two triangles be similar if they do not have any equal angles?

Back

No, two triangles cannot be similar if they do not have any equal angles, as angle equality is a requirement for similarity.

Front

What is an example of using AA to prove triangle similarity?

Back

If triangle ABC has angles of 30° and 60°, and triangle DEF has angles of 30° and 60°, then by AA, triangle ABC is similar to triangle DEF.