Question

WILL GIVE BRAINLIEST 50 POINTS

Answer 1

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

• $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

• $AD=\sqrt{(-6-(-5))^2+(-2-3)^2} = \sqrt{1+25} =\sqrt{26}$
• $BC=\sqrt{(1-5)^2+(6-3)^2} = \sqrt{16+9} =\sqrt{25}=5$

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

Answer 2

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:)