Exploring Midpoint and Distance Formulas

What is the main topic of today's lesson?

• Finding the area of a triangle

• Finding the midpoint and length of a segment in the coordinate plane

• Graphing linear equations

• Solving quadratic equations

Tags

CCSS.6.G.A.3

How do you find the midpoint of a segment?

• By multiplying the x and y values

• By finding the sum of the x and y values

• By finding the average of the x and y values

• By subtracting the x and y values

Tags

CCSS.HSG.GPE.B.6

What is the midpoint of the segment with endpoints (-2, -1) and (4, 2)?

• (0, 0)

• (3, 1.5)

• (1, 0.5)

• (2, 1)

Tags

CCSS.HSG.GPE.B.6

What is the formula for finding the midpoint of a segment?

• (x1 - x2) / 2, (y1 - y2) / 2

• (x1 / x2) / 2, (y1 / y2) / 2

• (x1 + x2) / 2, (y1 + y2) / 2

• (x1 * x2) / 2, (y1 * y2) / 2

Tags

CCSS.HSG.GPE.B.6

In the midpoint formula, what do x1 and y1 represent?

• The coordinates of the midpoint

• The coordinates of the first endpoint

• The coordinates of the second endpoint

• The average of the x and y values

Tags

CCSS.HSG.GPE.B.6

What is the first step in finding the length of a segment using the Pythagorean theorem?

• Finding the midpoint

• Drawing a right triangle

• Finding the average of the x and y values

• Using the distance formula

Tags

CCSS.8.G.B.8

What is the length of the hypotenuse if one leg is 6 units and the other leg is 3 units?

• 5 units

• 7 units

• 3√5 units

• 9 units

Tags

CCSS.8.G.B.7

What is the distance formula derived from?

• The midpoint formula

• The slope formula

• The Pythagorean theorem

• The quadratic formula

Tags

CCSS.HSG.GPE.B.7

What is the distance between the points (-2, -1) and (4, 2) using the distance formula?

• 5 units

• 7 units

• 3√5 units

• 9 units

Tags

CCSS.HSG.GPE.B.7

What should you do to prepare for the upcoming test?

• Review the quadratic formula

• Understand the methods for finding the midpoint and distance

• Memorize the distance formula

• Practice drawing coordinate planes

Tags

CCSS.HSG.GPE.B.7