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.

MG
Answered by Melzie G. Maths tutor

3973 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Prove that (4x–5)^2 – 5x(3x – 8) is positive for all values of x.


Sketch the curve y = x^2 - 6x + 5, identifying roots and minima/maxima.


50 people ate a snack , some had apples some had biscuits the rest had banana. 21 people were male the rest female. 6 out of 8 people who had apples were female. 18 people had biscuits. 9 females had bananas. How many males had biscuits?


The two points (4,9) and (2,3) are on line A. A second line, line B is perpendicular to line A and goes through the point (2,3). What is the equation of line B?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences