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Understanding Segment Lengths on the Coordinate Plane

In this section, we explore how to measure the lengths of segments on the coordinate plane. To find the length of a segment, calculate the absolute difference between the coordinates of its endpoints. Learn through examples such as segments AB and EF. We also discuss the distance formula previously used in algebra to find distances between two points. Practice finding lengths of segments like AB, BC, and others by applying the formula. Assignments are included for further practice, with segments given on a number line.

robin-francis
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Understanding Segment Lengths on the Coordinate Plane

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  1. Measuring Segments 1-3A Turn to page 40 in your book.

  2. Find the length of segments To find the length of a segment, first find the difference of the coordinates of its endpoints. Then since distance is always positive, take the absolute value of the result. A B C −10 −5 0 5 10 Find the length of segments

  3. Far From It • Look at the vertical segment AB on the coordinate plane. What is the ordered pair for point A? Point B? What is AB? • What do you notice about the x-coordinates for the endpoints of AB? Their y-coordinates? • Now find the length of EF. A E F B

  4. Distance Formula In Algebra, you used the distance formula to find the distance between any two points on a coordinate plane. A C B Find the length of AB, BC, and AC.

  5. Find the length of RS, ST, and TR to the nearest tenth in the figure. R S T RS=5.1, ST=7.1, TR=6

  6. Find the Length Find the length of XY, XZ, and YZ on a number line if the coordinate of X is −1.3, the coordinate of Y is −4, and the coordinate of Z is 2.7. −10 −5 0 5 10

  7. Assignment p. 42, 1-10, 17-19, 23-29

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