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WILL GIVE BRAINLIEST 50 POINTS
An isosceles trapezoid is a quadrilateral that has one pair of opposite parallel sides and one pair of opposite congruent sides. Using this definition, is this quadrilateral an isosceles trapezoid? Provide evidence of both the parallel sides and congruent sides to verify your claim.

WILL GIVE BRAINLIEST 50 POINTS An isosceles trapezoid is a quadrilateral that has one pair of opposite parallel sides and one pair of opposite congruent sides U class=

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Jadepchavez

Answer:

It is an iscoceles trapezoid but, one corner is unnoticeably off by 1. I think it would still be an iscoceles trapezoid.

Step-by-step explanation:)

mhanifa

Answer:

  • Not an isosceles trapezoid

Step-by-step explanation:

Step 1

Parallel lines have equal slopes.

Use the slope formula to find the slopes of AB and CD and then compare

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m(AB) = (5 - 3)/(3 - (-5)) = 2/8 = 1/4
  • m(CD) = (1 - (-2))/(6 - (-6)) = 3/12 = 1/4

The slopes are equal, so we can confirm the sides are parallel

Step 2

Use the distance formula and find the length of AD and BC and then compare

  • [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
  • [tex]AD=\sqrt{(-6-(-5))^2+(-2-3)^2} = \sqrt{1+25} =\sqrt{26}[/tex]
  • [tex]BC=\sqrt{(1-5)^2+(6-3)^2} = \sqrt{16+9} =\sqrt{25}=5[/tex]

The lengths are not equal, so the trapezoid is not isosceles

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