answersLogoWhite

0

The diagonals of a square are always perpendicular.

Proof: Without loss of generality, assume the square has side length 1 and one vertex is at the origin. The square ABCD is given by:

A = (0,0) , B = (1,0) , C = (1,1) , D = (0,1)

The diagonals are d1=AC and d2=BD. Finding equations for each of them yields

d1 = x

d2 = 1-x (you can double check this)

So, the relative slopes are 1 and -1. Since their product is -1, they are perpendicular.

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra

Add your answer:

Earn +20 pts
Q: Are the diagonals of a square are never perpendicular?
Write your answer...
Submit
Still have questions?
magnify glass
imp