In trapezoid TRAP, the parallel bases are TP and RA Is UV the midline of trapezoid TRAP? Why or why not?

Use the Trapezoid Midline Theorem that states the properties of
the midline of a trapezoid to justify your answer.

9514 1404 393

  UV is not the midline. (The midline length is 4.5.)

Step-by-step explanation:

The trapezoid midline is the average of the lengths of the bases. Here, the midline length would be ...

  (7 ft +2 ft)/2 = (9 ft)/2 = 4.5 ft

The line length shown is 3.5 ft, so the segment shown is not the midline.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6