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 i(-6, 2), j(2, 2), k(2, -8), l(-6, -8) 100 square units m(5, 5), n(11, 5), o(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)

Area of ABCD = 50 square units

Area of IJKL = 80 square units

Area of QRST = 100 square units

Area of UVWX = 300 square units

Step-by-step explanation:

ABCD: A (-9 , 8) , B (-5 , 5) , C (1 , 13) , D (-3 , 16)

AB = √(-5 - -9)² + (5 - 8)² = 5

BC = √(1 - -5)² + (13 - 5)² = 10

Area = 5 × 10 = 50 square units

IJKL: I (-6 , 2) , J (2 , 2) , K (2 , -8) , L (-6 , -8)

IJ = 2 - -6 = 8 ⇒ horizontal line (same y-coordinates)

JK = 2 - -8 = 10 ⇒ vertical line (same x-coordinates)

Area = 8 × 10 = 80 square units

QRST: Q (10 , 0) , R (15 , 5) , S (25 , -5) , T (20 , -10)

QR = √(15 - 10)² + (5 - 0)² = 5√2

RS = √(25 - 15)² + (-5 - 5)² = 10√2

Area = 5√2 × 10√2 = 100 square units

UVWX: U (0 , 5) , V (15 , 20) , W (25 , 10) , X (10 , -5)

UV = √(15 - 0)² + (20 - 5)² = 15√2

VW = √(25 - 15)² + (10 - 20)² = 10√2

A = 15√2 × 10√2 = 300 square units

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation: