(8th) Homeroom 12/3/24

Front

What is a 90° clockwise rotation about the origin?

Back

A transformation that turns a point or shape 90 degrees in the clockwise direction around the origin (0,0). For example, the point (x, y) becomes (y, -x).

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). For example, for points (10, 1) and (5, 2), m = (2 - 1) / (5 - 10) = -1/5.

Front

What happens to a point when it is reflected over the y-axis?

Back

The x-coordinate of the point changes sign while the y-coordinate remains the same. For example, the reflection of (-5, 2) over the y-axis is (5, 2).

Front

What is the slope of a line with coordinates (x1, y1) and (x2, y2)?

Back

The slope is calculated as m = (y2 - y1) / (x2 - x1). For example, if the points are (1, 2) and (2, 1), the slope is (1 - 2) / (2 - 1) = -1.

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees. For example, if ∠1 is 120°, then ∠2 must be 60° to be supplementary.

Front

What is the definition of a vertical angle?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside two parallel lines. They are equal when the lines are parallel.

Front

How do you determine if two lines are parallel using slopes?

Back

Two lines are parallel if they have the same slope. For example, if line 1 has a slope of 2 and line 2 also has a slope of 2, they are parallel.

Front

What is the formula for calculating the distance between two points?

Back

The distance (d) between two points (x1, y1) and (x2, y2) is given by the formula d = √((x2 - x1)² + (y2 - y1)²).

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). It is used to locate points using ordered pairs (x, y).