Maths / Coordinate Geometry / Mid Point Formula

QUESTION
 

ABCD is a parallelogram with vertices large dpi{120} large A(x_1,y_1),B(x_2,y_2)and ;C(x_3,y_3) Find the coordinates of the fourth vertex D in terms of large x_1,x_2,x_3,y_1,y_2,y_3

EXPLANATION
Explain TypeExplanation Content
Text

Let the coordinate of D be (x,y) We know that diagonals of a parallelogram bisect each other .

Angle required

Therefore mid-point of AC = mid -point of BD

large left ( frac{x_1+x_3}{2},frac{y_1+y_3}{2} right )=left ( frac{x_2+x}{2},frac{y_2+y}{2} right )

i.e., x_1+x_3=x_2+x: and: ;y_1+y_3=y_2+y

i.e., x_1+x_3-x_2=x;and; y_1+y_3-y_2=y

Thus, the coordinates of D are

(x_1+x_3-x_2,y_1+y_3-y_2)

View Contents
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)
Self Learning
Testimonials
No Preview
Student Feedback on Methodology - Prisha Gupta C/o ABHYAS Academy
 7th
This academy have a planned schedule and lessons are been taught in such a way that we learn many things to make a base for the next class.
Back
Courses We Offer
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)