Question

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?

Answer 1

The awnser above is correct

Explanation:

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Answer 2

The formula to find the distance from point d to point a is:

`√((0-0)^2+(0-b)^2)\\\\\\=√(0+b^2)\\\\=b`

Explanation:

We are given coordinate of the vertices of the parallelogram abcd as:

a(0,0) , b(a,0) , c(a,b) and d(0,b)

We know that the distance between the two points
`(x_1,y_1)\ and\ (x_2,y_2)` is given by:

`√((x_2-x_1)^2+(y_2-y_1)^2)`

Hence,the formula that can be used to determine the distance from point d(0,b) to point a(0,0) is:

`√((0-0)^2+(0-b)^2)\\\\\\=√(0+b^2)\\\\=b`