Finding the Midpoint of a Line Segment

This video tutorial introduces the concept of a midpoint, explaining it as the point that divides a line segment into two equal parts. It extends this idea to the coordinate plane, using the midpoint formula to find the midpoint between two points. The tutorial provides examples, including a basic calculation and a more advanced problem where the midpoint is given, and one endpoint is unknown. The video concludes with a visual method using slope to find the other endpoint.

What is the midpoint of a line segment?

• The exact center point of the line segment

• The starting point of the line segment

• Any point on the line segment

• The ending point of the line segment

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CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

What does it mean if two line segments are congruent?

• They are parallel to each other

• They have the same length

• They intersect at a right angle

• They have the same color

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CCSS.HSG.CO.A.1

How do you find the midpoint of a line segment on a coordinate plane?

• By guessing the approximate center

• By drawing the line segment

• By calculating the average of the x and y coordinates of the endpoints

• By measuring the length of the line segment

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CCSS.HSG.CO.D.12

What is the purpose of the midpoint formula?

• To determine the slope of a line

• To find the center point of a line segment on a coordinate plane

• To calculate the length of a line segment

• To identify the endpoints of a line segment

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CCSS.HSG.GPE.B.6

What are the coordinates of the midpoint for endpoints A(7,3) and B(5,5)?

• (6, 4)

• (1, 4)

• (5, 3)

• (12, 8)

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CCSS.HSG.GPE.B.6

How can the midpoint formula be applied in real-life scenarios?

• To find the center of a bridge

• To determine the speed of a car

• To calculate the height of a building

• To measure the depth of a pool

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CCSS.HSG.GPE.B.6

What is the significance of plotting points on the coordinate plane when finding midpoints?

• It is a mandatory step in all math problems

• It helps in visualizing the problem

• It increases the complexity of the problem

• It has no significance

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CCSS.HSG.GPE.B.6

If the midpoint of a line segment is (-3, -4) and one endpoint is (-6, 9), what is the x-coordinate of the other endpoint?

• 3

• -3

• -6

• 0

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CCSS.HSG.GPE.B.6

If the midpoint of a line segment is (-3, -4) and one endpoint is (-6, 9), what is the y-coordinate of the other endpoint?

• 9

• -4

• 1

• -9

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CCSS.HSG.GPE.B.6

In the advanced example, what method was used to find the unknown endpoint?

• Using the slope from the midpoint

• Guessing based on the midpoint

• Measuring the line segment

• Drawing the line segment

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CCSS.HSG.GPE.B.5