Pythagorean Theorem and Coordinate Planes

This video tutorial teaches how to solve word problems involving coordinate planes using the Pythagorean theorem. It begins with an introduction to the topic, followed by a review of right triangle properties and the Pythagorean theorem. The tutorial then demonstrates how to apply the theorem to solve for diagonals on coordinate planes. Several example problems are provided, illustrating how to calculate distances using coordinate grids and the Pythagorean theorem. The video concludes with a final example and a summary of the key concepts covered.

What is the main focus of the lesson involving coordinate planes?

• Applying the Pythagorean theorem

• Solving algebraic equations

• Learning about angles

• Understanding geometric shapes

Which side of a right triangle is opposite the 90-degree angle?

• Side a

• Side b

• Hypotenuse

• Base

What is the formula stated by the Pythagorean theorem?

• a^2 + b^2 = c^2

• a + b = c

• a^2 + b = c^2

• a^2 - b^2 = c^2

How is a right triangle created on a coordinate plane?

• By drawing a circle

• By using a compass

• By extending rays from a diagonal line

• By drawing a square

How do you find the distance between two points on a coordinate plane using the Pythagorean theorem?

• By estimating visually

• By using a protractor

• By measuring directly

• By creating a right triangle

In the example of the park and library, what is the shortest distance from the library to your home?

• 3 blocks

• 4 blocks

• 5 blocks

• 6 blocks

If the mall is 5 miles west of your home and the school is 5 miles south of the mall, how far is the school from your home?

• 12 miles

• 10 miles

• 7.07 miles

• 5 miles

What is the length of the hypotenuse if the legs of a right triangle are 3 and 4 units long?

• 8 units

• 5 units

• 6 units

• 7 units

What is the distance between the intersections of 2nd Avenue and 2nd Street and 5th Avenue and 5th Street?

• 6 blocks

• 5 blocks

• 4.24 blocks

• 3 blocks

In the context of the lesson, what does each unit on the coordinate plane represent?

• A centimeter

• A block or mile

• A degree

• A meter