CMS Unit 1: Transformations, Congruence and Similarity Review

Front

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

What does it mean for two triangles to be similar?

Back

Two triangles are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on two different parallel lines cut by a transversal.

Front

What is the relationship between consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that are on the same side of the transversal and inside the two parallel lines. They are supplementary, meaning they add up to 180 degrees.

Front

What is the difference between congruence and similarity?

Back

Congruence means that two shapes are identical in size and shape, while similarity means they have the same shape but may differ in size.

Front

What is a 90-degree rotation?

Back

A 90-degree rotation is a transformation that turns a shape 90 degrees around a point, either clockwise or counterclockwise.

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates of its points.