Question

A polygon has its vertices at the following points.

(2,5), (4,7), (7,7) and (9,5) what is the name of this polygon?

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Answer 1

isosceles trapezoid

Explanation:

hope this helps

Answer 2

isosceles trapezoid

Explanation:

1) find the distance of the points

`√((x2-x1)^2 + (y2 -y1)^2)`

AB =
`√((4-2)^2 + (7-5)^2) = √(4 + 4) = √(8) = 2 √(2)`

BC = |7-4| = 3

CD =
`√((9-7)^2 + (5-7)^2)= √(4+4) = √(8) = 2 √(2)`

AD = |9-2| = 7

2) equation of the line that passes threw BC

y = 7

3) equation of the line that passes threw AD

y = 5

conclusion

the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid