Congruence and Similarity Review

Front

What is Congruence?

Back

Congruence refers to two figures that have the same shape and size. They can be superimposed on each other.

Front

What is Similarity?

Back

Similarity refers to two figures that have the same shape but not necessarily the same size. Their corresponding angles are equal, and their sides are in proportion.

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What is a Transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape. Common transformations include translation, rotation, and reflection.

Front

Define Translation.

Back

Translation is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

Define Rotation.

Back

Rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

Define Reflection.

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is a Scale Factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

How do you determine if two triangles are similar?

Back

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

Front

What is the result of dilating a point (x, y) by a scale factor of k?

Back

The result of dilating a point (x, y) by a scale factor of k is (kx, ky).

Front

What is the difference between congruent and similar figures?

Back

Congruent figures are identical in shape and size, while similar figures have the same shape but may differ in size.