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Martin wants to use coordinate geometry to prove that the opposite sides of
a rectangle are congruent. He places parallelogram ABCD in the coordinate
plane so that A is (0, 0), B is (a,0), C is (a, b), and D is (0, b).
What formula can he use to determine the distance from point D to point A?
A. 0-0)2+(b-0)² = √√b² = b
B. (a-a)2+(b-0)² = 6²
C. (0-0)² + (b-0)² = 6²
OD. √(-a)2+(b-0)²-√√b² = b

Martin Wants To Use Coordinate Geometry To Prove That The Opposite Sides Of A Rectangle Are Congruent He Places Parallelogram ABCD In The Coordinate Plane So Th class=

Sagot :

shubhamchouhanvrVT

The correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

X = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We have the coordinates of the point A = (0, 0) and D is  (0, b).By applying the formula to find the distance between A and D.

AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

Therefore the correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

To know more about Coordinate geometry follow

brainly.com/question/18269861

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