Exploring Midpoint and Distance Formula Concepts

The video tutorial covers the distance and midpoint formulas, explaining their applications through examples. It begins with an introduction emphasizing the importance of note-taking. The distance formula is applied to find the distance between two points, followed by the midpoint formula to find the center of a segment. The tutorial also explores finding unknown endpoints using the midpoint and discusses segment bisectors. Finally, it addresses solving algebraic problems related to segments, highlighting the importance of congruency and segment addition postulate.

Why is it important to take notes while watching the video?

• To avoid watching the video again

• To use them for other subjects

• To help with practice problems and mimic examples

• To share with friends

Tags

CCSS.RI.11-12.8

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.11-12.8

CCSS.RL.8.7

What is the first step in using the distance formula?

• Divide the coordinates

• Add the coordinates

• Subtract the coordinates

• Multiply the coordinates

Tags

CCSS.HSG.GPE.B.7

What is the distance between the school and the recycling center in the example?

• 3.47 units

• 6.47 units

• 5.47 units

• 4.47 units

Tags

CCSS.HSG.GPE.B.7

What does the midpoint formula help you find?

• The distance between two points

• The slope of a line

• The average of the x and y coordinates

• The area of a triangle

Tags

CCSS.HSG.GPE.B.6

If the endpoints of a segment are (1, -3) and (4, 2), what is the midpoint?

• (2, 0)

• (1.5, -1.5)

• (3, 1)

• (2.5, -0.5)

Tags

CCSS.HSG.GPE.B.6

Given the midpoint (2, 1) and one endpoint (1, 4), what is the other endpoint?

• (4, 0)

• (2, 3)

• (1, -1)

• (3, -2)

Tags

CCSS.HSG.GPE.B.6

What does a segment bisector do?

• Divides a segment into two unequal parts

• Finds the midpoint of a segment

• Measures the length of a segment

• Divides a segment into two congruent parts

Tags

CCSS.HSG.CO.A.1

If M is the midpoint of VW, and VM = 4x - 1, what is the length of VM when x = 4?

• 13

• 16

• 15

• 14

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CCSS.HSG.CO.C.10

What is the segment bisector in the example given?

• Line O

• Line N

• Line M

• Line L

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CCSS.HSG.CO.C.9

If AC is represented by x + 10 and x = -1, what is the length of AC?

• 7

• 10

• 8

• 9

Tags

CCSS.HSG.GPE.B.7