Midpoint and Segment Properties

The video tutorial explains how to find the midpoint of a line segment by first identifying the coordinates of the segment's endpoints. It then demonstrates calculating the average of the X and Y coordinates to determine the midpoint. The tutorial also covers converting these coordinates into decimal form for easier plotting on a graph. Additionally, it discusses the concept of segment congruency and illustrates the process using graphing software.

What is the first step in finding the midpoint of a segment?

• Determine the slope of the segment.

• Draw the segment on a graph.

• Find the coordinates of the endpoints.

• Calculate the distance between the endpoints.

If the x-coordinates of the endpoints are -2 and 3, what is the x-coordinate of the midpoint?

• 1.5

• 2.5

• 0.5

• 1

How do you calculate the y-coordinate of the midpoint if the y-coordinates are 5 and -2?

• Multiply 5 and -2, then divide by 2.

• Subtract -2 from 5, then divide by 2.

• Add 5 and -2, then divide by 2.

• Add 5 and -2, then multiply by 2.

What is the decimal equivalent of 3/2?

• 1.5

• 0.5

• 2.5

• 1.25

How would you plot the midpoint if its coordinates are (0.5, 1.5)?

• Move left 0.5 units and down 1.5 units.

• Move right 0.5 units and up 1.5 units.

• Move right 1.5 units and up 0.5 units.

• Move left 1.5 units and down 0.5 units.

What does it mean for segment AM to be congruent to segment MB?

• AM is longer than MB.

• AM is shorter than MB.

• AM and MB have the same length.

• AM and MB are perpendicular.

What tool was used to graph the segment and midpoint?

• A calculator.

• A protractor.

• Graphing software.

• A ruler and compass.