Math 2 Unit 1 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. Common transformations include translations, rotations, reflections, and dilations.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape from one position to another without turning it. It is defined by a vector that indicates the direction and distance of the slide.

Front

What is the effect of a 180° rotation about the origin on a point (x, y)?

Back

A 180° rotation about the origin transforms the point (x, y) to (-x, -y).

Front

What is a line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

How do you find the line of symmetry for a trapezoid?

Back

The line of symmetry for a trapezoid is typically a vertical line that passes through the midpoints of the bases, if the trapezoid is isosceles.

Front

What is the formula for reflecting a point (x, y) across the line y = x?

Back

To reflect a point (x, y) across the line y = x, the new coordinates become (y, x).

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a shape is rotated about a fixed point.

Front

How do you determine the new coordinates of a point after a translation?

Back

To determine the new coordinates after a translation, add the translation vector to the original coordinates. For example, if translating (x, y) by (a, b), the new coordinates will be (x + a, y + b).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

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

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

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