Match the rectangles formed by the sets of points to their corresponding areas.
A(-9, 8), B(-5,5), C(1, 13), D(-3, 16)
50 square units
E(30, 20), F(39, 29), G(49, 19), H(40, 10)
300 square units
(-6, 2), J(2, 2), K(2,-8), L(-6, -8)
100 square units
M(5,5), N(11, 5), (11,-5), P(5,-5)
80 square units
Q(10,0), R(15,5), S(25,-5), T(20,-10)
U(0,5), V(15, 20), W(25, 10), X(10,-5)

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

step-by-step explanation:

classify each pair of angles as alternate interior, same-side interior, or corresponding angles.