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Which name best describes the polygon with vertices (0, 0), (4, 8), (12, 8), and (16, 0)? A) Triangle C) Trapezoid B) Square D) Pentagon

2 Answers

4 votes

Answer: C. Trapezoid

Explanation:

Graph the points and you get a trapezoid!!!

Hope this helps!!!

User Frank Einstein
by
8.7k points
2 votes

Answer:

C) Trapezoid

Explanation:

Given


A = (0,0)


B = (4,8)


C = (12,8)


D=(16,0)

Required

The possible shape

The above are 4 vertices.

Hence, the shape cannot be

(a) Triangle ---- it has 3 vertices

(b) Pentagon ---- it has 5 vertices

Calculate distance AB using distance formula


AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

Where:


A = (0,0)


B = (4,8)


AB = \sqrt{(0 - 4)^2 + (0 - 8)^2


AB = \sqrt{( - 4)^2 + ( - 8)^2


AB = \sqrt{16+64


AB = \sqrt{80


AB = 8.94

Calculate distance BC using distance formula


BC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

Where:


B = (4,8)


C = (12,8)


BC = \sqrt{(4 - 12)^2 + (8 - 8)^2


BC = \sqrt{(-8)^2 + (0)^2


BC = \sqrt{64 +0


BC = \sqrt{64


BC = 8

Since


AB \\e BC

Then, the polygon is not a square

The last available option is (c) trapezoid

User Glauco Cucchiar
by
8.6k points

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