Rectangle HIJK has the points H(-4,1), I(1,1), J(1,-2)& K(-4,-2). Rectangle LMNO has points L(-1,3), M(2,3), N(2,-3) & O (-1,-3). Are the rectangles congruent?

Expert Answers
hala718 eNotes educator| Certified Educator

To find out if the rectangles are congruent we need to find the length of the sides of both rectangles.

We will find the length of the sides of the rectangle HIJK.

`==gt l HI l = sqrt((1+4)^2 + (1-1)^2)= sqrt(5^2)= 5. `

`==gt l IJ l = sqrt((-2-1)^2 + (1-1)^2)= sqrt(9)= 3`

`` Now we will find the length of the sides of the rectangle LMNO

`==gt l LM l = sqrt((3-3)^2 + (2-(-1))^2)= sqrt(9)= 3`

`==gt l MN l = sqrt((-3-3)^2 + (2-2)^2)= sqrt(36)= 6`

`` We notice that the sides of both rectangles are not equal.

Then rectangles HIJK and LMNO are NOT congruent.