Triangle Similarity 4/24 Heide

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the relationship between two triangles that have the same shape but may differ in size. This means their corresponding angles are equal and their corresponding sides are in proportion.

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What does AA Similarity Criterion state?

Back

The AA (Angle-Angle) Similarity Criterion states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

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What is the SSS Similarity Criterion?

Back

The SSS (Side-Side-Side) Similarity Criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does SAS Similarity Criterion state?

Back

The SAS (Side-Angle-Side) Similarity Criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

How do you denote similar triangles?

Back

Similar triangles are denoted using the symbol '~'. For example, if triangle ABC is similar to triangle DEF, it is written as ΔABC ~ ΔDEF.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, the lengths of corresponding sides are in proportion.

Front

If ΔABC ~ ΔDEF, what can be said about the angles?

Back

If ΔABC ~ ΔDEF, then angle A = angle D, angle B = angle E, and angle C = angle F.

Front

What is the formula for finding the ratio of corresponding sides in similar triangles?

Back

If ΔABC ~ ΔDEF, then the ratio of corresponding sides is given by: \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}.

Front

What is the Angle-Angle Similarity (AA ~) Theorem?

Back

The Angle-Angle Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.