Case21 Math Review

Front

Can three lengths form a right triangle?

Back

To form a right triangle, the square of the longest side must equal the sum of the squares of the other two sides (Pythagorean theorem).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the length of the hypotenuse.

Front

How do you find the slope between two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate?

Back

A slope of 0 indicates a horizontal line.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

Front

How do you calculate the height of a ladder needed to reach a certain height?

Back

Use the Pythagorean theorem: height² + distance from the wall² = ladder length².

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point.

Front

What does a 90-degree clockwise rotation look like?

Back

A 90-degree clockwise rotation turns the figure to the right.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What is the significance of the longest side in a triangle?

Back

The longest side is opposite the largest angle and is crucial for applying the Pythagorean theorem.