Congruence and Similarity IAB Review

Front

What is Congruence?

Back

Congruence refers to two figures that have the same shape and size. They can be transformed into each other through rotations, translations, or reflections.

Front

What is Similarity?

Back

Similarity refers to two figures that have the same shape but not necessarily the same size. They can be transformed into each other through dilation.

Front

What is a Transformation in Geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure.

Front

What are the types of transformations?

Back

The main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a Translation?

Back

A translation moves every point of a figure the same distance in the same direction.

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What is a Rotation?

Back

A rotation turns a figure around a fixed point, called the center of rotation, by a certain angle.

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What is a Reflection?

Back

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

Front

What is Dilation?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

How do you determine if two figures are congruent?

Back

Two figures are congruent if they can be made to coincide by a series of transformations: translations, rotations, and reflections.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.