Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are proportional.

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What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle, a criterion for triangle similarity that states 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, a criterion for triangle similarity that states if two sides of one triangle are proportional 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, a criterion for triangle similarity that states if the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the Segment Addition Postulate?

Back

The Segment Addition Postulate states that if point B is between points A and C, then AB + BC = AC.

Front

What is the relationship between corresponding sides of similar triangles?

Back

The corresponding sides of similar triangles are proportional, meaning the ratios of their lengths are equal.

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How do you determine if two triangles are similar?

Back

To determine if two triangles are similar, check for AA, SAS, or SSS criteria.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, defined by a scale factor.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way, including translations, rotations, reflections, and dilations.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.