Graph Transformations and Function Properties

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape the same distance in a specified direction.

Front

How do you translate a shape 5 units to the right and 2 units down?

Back

To translate a shape 5 units to the right, add 5 to the x-coordinate of each point. To translate it 2 units down, subtract 2 from the y-coordinate of each point.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines it intersects.

Front

If angle 3 is 40 degrees, what is the measure of its alternate interior angle?

Back

The alternate interior angle will also be 40 degrees.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the length of a line segment given its endpoints?

Back

Use the distance formula to calculate the length of the line segment between the two endpoints.

Front

What does it mean to move a shape 3 units left and 3 units down?

Back

Moving a shape 3 units left means subtracting 3 from the x-coordinate of each point, and moving it 3 units down means subtracting 3 from the y-coordinate.

Front

What is the significance of the coordinates in a Cartesian plane?

Back

Coordinates represent the position of a point in a two-dimensional space, defined by an x-value (horizontal) and a y-value (vertical).

Front

How do you identify corresponding angles when two lines are crossed by a transversal?

Back

Corresponding angles are located in the same position at each intersection where a transversal crosses two lines.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.