Week of 12/9 - 12/13

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over the run between two points on the line.

Front

How do you find the distance across a rectangular field?

Back

Use the Pythagorean theorem: distance = √(width² + length²). For a field 50 yards wide and 100 yards long, the distance is √(50² + 100²) = 111.8 yards.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to isolate the variable on one side of the equation to find its value.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

How do you calculate the distance between two points using the Pythagorean theorem?

Back

If you have two points (x1, y1) and (x2, y2), the distance d is calculated as d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the formula for the slope of a line given two points?

Back

The formula for the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (Pythagorean theorem).

Front

What is the distance formula in a coordinate plane?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²), used to find the distance between two points.

Front

What does it mean if a triangle is not a right triangle?

Back

It means that none of its angles measure 90 degrees.

Front

How do you determine the length of the diagonal in a rectangle?

Back

Use the Pythagorean theorem: diagonal = √(width² + length²).