Question

What is the best name for the figure with vertices at the following coordinates? (0, 0), (1, 1), (–1, 1), and (2, 0) A. rectangle B. parallelogram C. trapezoid D. rhombus

Answer 1

Here, the coordinates aren't telling special characteristic of any shape, so it would be Paralleogram

In short, Your Answer would be Option B

Hope this helps!

Answer 2

The best name for the figure with vertices at the coordinates (0,0),(1,1),(-1,1)(2,0) is parallelogram which is option b.

What is parallelogram?

Parallelogram is a two dimensional figure whose opposite sides are equal to and parallel to each other. Area of parallelogram is equal to base* height.

How to identify shape?

The coordinates which are given to us are (-1,1),(1,1),(2,0)(0,0).

let the figure be ABCD and coordinates are A(-1,1), B(1,1), C(2,0) D(0,0).

Distance between two points whose coordinates are $\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1}) ^{2} }$ where $(x_{1} ,y_{1} ),(x_{2} ,y_{2} )$

AB=$\sqrt{(1-1)^{2}+(1+1)^{2} }$

=$\sqrt{4}$

=2 units.

BC=$\sqrt{(0-1)^{2} +(2-1)^{2} }$

=$\sqrt{2}$ units

CD=$\sqrt{(0-2)^{2} +(0-0)^{2} }$

=$\sqrt{4}$

=2 units

AD=$\sqrt{(0+1)^{2} +(0-1)^{2} }$

=$\sqrt{2}$ units

Because AB=CD, BC=AD there are two shapes whose opposite sides are equal and if we plot the points on the graph then we will get a shape of parallelogram.

Hence the correct name of the shape is parallelogram.

Learn more about parallelogram at https://brainly.com/question/970600

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