How do I find out the coordinates of the fourth point of a parallelogram knowing the first three?

Say the parallelogram is called ABCD, you know the coordinates of A, B and C and want to find out DFirst of all, you'll want to calculate a vector from one of the sides of the parallelogram, say AB. Because this is a parallelogram, opposite vectors are equal, meaning AB = CD. This means that you know the x- and y- components of CD, but you also know that xCD= xD- xC and yCD= yD- yC. By rearranging, you can find xD and yD, the coordinates of D.

Answered by Melzie G. Maths tutor

3402 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you expand and simplify (x − 6)(x + 2y)^2


How to do Indices?


What is the point of intersection of two lines, and how would I find it?


I need help understanding simultaneous equations with more than two variables, can you please help?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences