Question

the sides of a rectangle are parallel to the axis coordinate of a pair of opposite vertices are (3,5),(7,8) .
a)write the coordinate of other two vertices of the rectangle
b)calculate the length of its diagonal
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Answer 1

Answer:

Hi!

Because the sides of the rectangles are parallel to the x and y axes, the vertices given provide boundaries that are parallel to the axes.

So, with the point (6,2), you know that the rectangle is bounded by x=6 and y=2, respectively.

Similarly, the other point, (3, 4) provides two additional boundaries: x=3, and y=4

The intersections of x and y boundaries provide the vertices - you know, already, that x=3 and y =4 intersect at (3,4) and that x=6 and y=2 intersect at (6,2) - the other vertices exist where x=3 and y =2 intersect AND where x=6 and y=4 intersect- namely (3,2) and (6,4)…