Exploring the Midpoint and Distance Formula

Why is it important to take notes during the lesson?

• To memorize the formulas

• To get credit from the teacher

• All of the above

• To ensure you understand the material

Tags

CCSS.RI.11-12.3

CCSS.RI.11-12.5

CCSS.RI.8.3

CCSS.RI.8.5

CCSS.RI.9-10.5

What is the formula for finding the midpoint between two points?

• (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

If the coordinates of two points are (2, 6) and (12, 0), what is their midpoint?

• (7, 3)

• (6, 3)

• (7, 6)

• (6, 0)

Tags

CCSS.HSG.GPE.B.6

How do you handle negative coordinates when using the midpoint formula?

• Multiply the coordinates by -1

• Subtract the negative coordinates

• Add the coordinates as usual and divide by 2

• Ignore the negative sign

Tags

CCSS.HSG.GPE.B.6

Given one endpoint (13, -4) and the midpoint (5, -5), what is the other endpoint?

• (-3, -6)

• (3, -6)

• (3, 6)

• (-3, 6)

Tags

CCSS.HSG.GPE.B.6

What is the formula for finding the distance between two points?

• sqrt((X2 + X1)^2 + (Y2 + Y1)^2)

• sqrt((X2 * X1)^2 + (Y2 * Y1)^2)

• sqrt((X2 / X1)^2 + (Y2 / Y1)^2)

• sqrt((X2 - X1)^2 + (Y2 - Y1)^2)

Tags

CCSS.HSG.GPE.B.7

If the coordinates of two points are (1, 7) and (-3, 4), what is the distance between them?

• 7

• 5

• 8

• 6

Tags

CCSS.HSG.GPE.B.7

How do you handle negative coordinates when using the distance formula?

• Square the differences, which makes them positive

• Subtract the negative coordinates

• Add the coordinates as usual

• Ignore the negative sign

Tags

CCSS.HSG.GPE.B.7

What is the distance from the point (7, 2) to the origin (0, 0)?

• sqrt(49)

• sqrt(53)

• sqrt(41)

• sqrt(45)

Tags

CCSS.HSG.GPE.B.7

What should you do if the distance formula results in a number that is not a perfect square?

• Ignore the result

• Round the number

• Approximate the square root

• Leave it under the square root

Tags

CCSS.7.NS.A.2C