Pythagorean Theorem in the Coordinate Plane Practice

The video tutorial explains how to find the distance between two points using the Pythagorean theorem. It covers plotting points on a coordinate plane, forming right triangles, and calculating the hypotenuse. The tutorial also demonstrates finding the perimeter of a triangle by calculating the lengths of its sides using the same theorem.

What is the first step in finding the distance between two points on a coordinate plane?

• Calculate the slope of the line

• Plot the points and connect them with a line

• Find the midpoint of the line

• Determine the equation of the line

When using the Pythagorean theorem, what is the hypotenuse?

• The angle between the two legs

• The sum of the two legs

• The side opposite the right angle

• The shortest side of the triangle

In the second example, what are the lengths of the legs used in the Pythagorean theorem?

• 6 and 8

• 3 and 4

• 5 and 5

• 7 and 11

What is the perimeter of a triangle?

• The length of the longest side

• The sum of the lengths of all sides

• The difference between the longest and shortest sides

• The area inside the triangle

How do you find the length of a side of a triangle using the Pythagorean theorem?

• Divide the squares of the legs and take the square root

• Multiply the squares of the legs and take the square root

• Subtract the squares of the legs and take the square root

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

What is the length of the hypotenuse of the orange triangle in the perimeter problem?

• 7.1 units

• 6.3 units

• 11.4 units

• 9.5 units

What is the final perimeter of the triangle formed by vertices A, B, and C?

• 24.8 units

• 27.2 units

• 22.9 units

• 30.5 units