6th Period Fast and Curious: Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

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What is the AA Similarity Postulate?

Back

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

Front

What is the SSS Similarity Theorem?

Back

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

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What is the SAS Similarity Theorem?

Back

The SAS (Side-Angle-Side) Similarity Theorem 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 find the scale factor of similar figures?

Back

The scale factor can be found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 and 8 respectively, what is the scale factor?

Back

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape. It is defined by a center point and a scale factor.

Front

If a triangle is dilated by a scale factor of 3, what happens to its sides?

Back

Each side of the triangle will be multiplied by 3, making the triangle three times larger.

Front

What does it mean for two figures to be not similar?

Back

Two figures are not similar if their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

How can you prove that two triangles are similar using the AA criterion?

Back

To prove triangles are similar using the AA criterion, show that two angles of one triangle are equal to two angles of another triangle.