What is the length of the midsegment of the trapezoid?

Question

02-12-2021
Mathematics

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What is the length of the midsegment of the trapezoid?

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2021-12-04T16:30:41-05:00

Answer:

8

Step-by-step explanation:

The length of the top segment is the difference of its x-coordinates: 7-2=5.

The length of the bottom segment is the difference of its x-coordinates: 9-(-2)=11.

The length of the midsegment is the average of the lengths of the top and bottom segments:

(5 +11)/2 = 16/2 = 8

The length of the midsegment is 8.

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Additional comment

You can check this by drawing a midline at y = 1.5. It intersects AD on the y-axis (x=0), and intersects BC at x=8. The length of the midline is the difference of those x-coordinates: 8-0 = 8.