Finding Line Segment Length with the Pythagorean Theorem

This video tutorial teaches how to find the shortest distance between two points on a coordinate plane using the Pythagorean theorem. It explains the theorem, highlights common mistakes, and provides examples of calculating distances between points and between two houses. The lesson concludes with a summary of the key concepts covered.

What theorem is used to find the length of a line segment on the coordinate plane?

• Thales' theorem

• Pythagorean theorem

• Fermat's Last Theorem

• Euclid's theorem

What formula is used in the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 * b^2 = c^2

• a^2 / b^2 = c^2

What is a common mistake when finding the distance between two points?

• Applying the theorem incorrectly

• Ignoring the coordinate plane

• Counting the spaces between points

• Using the wrong formula

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

• By counting the grid spaces

• By creating a right triangle and applying the Pythagorean theorem

• By measuring with a ruler

• By drawing a straight line

Why can't you simply count the spaces between points to find the distance?

• Because it's not accurate without knowing the units

• Because it only works for straight lines

• Because the theorem doesn't allow it

• Because it's too time-consuming

What is the length of AB if one leg is 4 units and the other is 3 units?

• 5 units

• 6 units

• 7 units

• 8 units

How do you start finding the distance between two points with given coordinates?

• By plotting the points on the coordinate plane

• By calculating the midpoint

• By estimating the distance

• By drawing a circle

What is the distance between point A(-5, -6) and point B(-2, 4)?

• 10.8 units

• 10.6 units

• 10.4 units

• 10.2 units

What are the lengths of the legs when finding the shortest distance between two houses?

• 13 and 9 units

• 15 and 11 units

• 12 and 8 units

• 14 and 10 units

What is the shortest distance between the two houses?

• 15.9 units

• 15.8 units

• 15.7 units

• 15.6 units