Question

Pwease!

The vertices of rectangle ABCD on a coordinate grid are A(2, 5), B(6, 5), C(6, 8) and D(2, 8).

Which of these rectangles is congruent to rectangle ABCD?

Answer 1

We are given a rectangle ABCD A(2, 5), B(6, 5), C(6, 8) and D(2, 8).
We need to find its two adjacent sides AB and BC
Let's use distance formula here
\[AB=\sqrt{(6-2)^2+(5-5)^2}=4\]
And
\[BC=\sqrt{(6-6)^2+(5-8)^2=3}\]
\]
Now we need to find a rectangular whose sides are also the same? Can you find the sides's length of each rectangle?