Distance in the Coordinate Plane

The video tutorial explains how to find the diagonal distance on a coordinate plane using the Pythagorean theorem. It begins with an introduction to the problem involving line segment GH, which is graphed on a coordinate plane. The tutorial guides viewers through setting up the problem, using the Pythagorean theorem to calculate the length of the hypotenuse, and identifying the legs of the right triangle. The lesson concludes with a recap of the key concepts and a summary of the solution process.

What mathematical theorem is used to find diagonal distances on a coordinate plane?

• Binomial theorem

• Pythagorean theorem

• Fermat's Last Theorem

• Fundamental theorem of calculus

In the problem setup, what is the length of line segment GH represented by?

• L units

• K units

• M units

• N units

Which side of the right triangle is represented by 'K' in the Pythagorean theorem?

• One of the legs

• The height

• The hypotenuse

• The base

What is the length of the first leg (A) used in the Pythagorean theorem for this problem?

• 5 units

• 4 units

• 3 units

• 6 units

What is the length of the second leg (B) used in the Pythagorean theorem for this problem?

• 6 units

• 5 units

• 4 units

• 3 units