Exploring the Pythagorean Theorem in the Coordinate Plane

What is the primary goal of learning in this video?

• To apply the Pythagorean theorem on a coordinate plane

• To memorize the formula of the Pythagorean theorem

• To learn about different types of triangles

• To measure line segments with a ruler

What is required to use the Pythagorean theorem?

• An equilateral triangle

• A right triangle

• A circle

• A square

What is the formula of the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 + b^2 = c

• a + b = c^2

• a^2 - b^2 = c^2

How do you find the length of a diagonal line segment on a graph?

• By using a ruler

• By guessing its length

• By creating a right triangle and applying the Pythagorean theorem

• By counting the squares it passes through

What is the hypotenuse in a right triangle?

• The side adjacent to the right angle

• The longest side

• The side opposite the right angle

• The shortest side

How do you find the length of the hypotenuse using the Pythagorean theorem?

• Divide the square of one leg by the square of the other

• Subtract the squares of the two legs

• Multiply the squares of the two legs

• Add the squares of the two legs and take the square root

How is the Pythagorean theorem applied in coordinate geometry?

• To determine the slope of a line

• To identify types of triangles

• To find the distance between two points

• To calculate the area of shapes

How can you find the perimeter of a triangle using the Pythagorean theorem?

• By adding the lengths of all three sides

• By squaring the length of the hypotenuse

• By multiplying the lengths of the two shorter sides

• By finding the area of the triangle

What is the perimeter of a figure?

• The length of the longest side

• The sum of the lengths of all sides

• The distance from one point to another

• The area inside the figure

What shape's perimeter is calculated in the final example?

• Circle

• Trapezoid

• Rectangle

• Square