Benchmark Pregame

Front

What is a right triangle?

Back

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

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How do you calculate the surface area of a rectangle?

Back

The surface area of a rectangle is calculated by multiplying its length by its width: Area = length × width.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, or reflection.

Front

What is translation in geometry?

Back

Translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.

Front

How do you find the area of a rectangle?

Back

To find the area of a rectangle, multiply its length by its width.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = 1/2 × base × height.

Front

What is the significance of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

How do you find the height of a triangle if you know the area and base?

Back

You can find the height using the formula: height = (2 × Area) / base.

Front

What is the surface area of a pool measuring 22 feet by 12 feet?

Back

The surface area is 264 ft² (22 ft × 12 ft).