Respuesta :
Parallelogram is the quadilateral ABCD with vertices A(-1,0), B(4, 0),
C(5, 4), and D(0, 4)
What is parallelogram?
A parallelogram is a quadrilateral whose opposite sides are parallel and equal.
first, find the length of the sides of the quadilateral.
AB = [tex]\sqrt{(4-(-1))^2+0-0^2} \\[/tex]= [tex]\sqrt{5^2+0}[/tex] = [tex]\sqrt{25}[/tex] = 5
BC = [tex]\sqrt{(5-4)^2+(4-0)^2}[/tex] = [tex]\sqrt{1^2+4^2}[/tex] = [tex]\sqrt{1+16} = \sqrt{17}[/tex]
CD = [tex]\sqrt{(0-5)^2+(4-4)^2} = \sqrt{(-5)^2+0} = \sqrt{25-0} = 5[/tex]
DA = [tex]\sqrt{(-1-0)^2+(0-4)^2} = \sqrt{(-1)^2+(-4)^2} = \sqrt{1+16} = \sqrt{17}[/tex]
opposite side length is equal.
so quadilateral is parallelogram.
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The most precise name for quadrilateral ABCD with vertices
A(-1,0), B(4, 0), C(5, 4), and D(0, 4) is parallelogram.
What is the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4, 0), C(5, 4), and D(0, 4)?
- The most precise name for quadrilateral ABCD with vertices A(-1,0), B(4, 0), C(5, 4), and D(0, 4) is parallelogram.
- The parallelogram has opposite parallel sides.
- A parallelogram is a flat 2d shape that has four angles.
- The opposite interior angles are equal.
- If the parallelogram has anyone of the angles is a right angle, then all the other angles will be at a right angle.
Hence, the most precise name for quadrilateral ABCD with vertices A(-1,0), B(4, 0), C(5, 4), and D(0, 4) is a parallelogram.
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