Unit 3 - Semester Exam Review

Front

What is a transformation in geometry?

Back

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

Front

What are the three main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure about a fixed point at a given angle and direction.

Front

Define reflection in geometry.

Back

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

Front

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

Back

Reflecting a point (x, y) over the x-axis results in the point (x, -y).

Front

What happens to the coordinates of a point when it is reflected over the line y = x?

Back

The coordinates of a point (x, y) become (y, x) when reflected over the line y = x.

Front

What is the result of a 180° rotation about the origin for the point (a, b)?

Back

The result of a 180° rotation about the origin for the point (a, b) is (-a, -b).

Front

How do you describe a transformation using arrow notation?

Back

Arrow notation describes the transformation from one figure to another, e.g., ABC → A'B'C'.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.