M8 Module 11 Review

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). It can be expressed as: a² + b² = c².

Front

How do you find the distance between two points on a coordinate grid?

Back

To find the distance between two points (x1, y1) and (x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is a right triangle?

Back

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

Front

What are the properties of a right triangle?

Back

In a right triangle, the side opposite the right angle is the longest side (hypotenuse), and the other two sides are called the legs. The Pythagorean Theorem applies.

Front

What is the definition of a cone?

Back

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (usually circular) to a single point called the apex.

Front

How do you calculate the volume of a cone?

Back

The volume V of a cone can be calculated using the formula: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Front

What is the significance of rounding in measurements?

Back

Rounding is used to simplify numbers to make them easier to work with, especially in measurements, where precision may not be necessary.

Front

What is the definition of a coordinate grid?

Back

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

Front

What does it mean for a triangle to be classified as scalene?

Back

A scalene triangle is a triangle in which all three sides have different lengths and all three angles are different.

Front

What is the formula for the area of a triangle?

Back

The area A of a triangle can be calculated using the formula: A = (1/2)bh, where b is the base and h is the height.