# Using slopes. Pro

The property of parallelogram states that opposite sides are equal.

We have 4 sides as AB,BC,CD,DA

Given points are A(-2,-1),B(1,0),C(4,3) and D(1,2)

AB and CD are opposite sides, and BC and DA are the other two opposite sides.

So slopes of AB = CD and slopes BC = DA Slope of AB = The slope of BC = The slope of CD = Slope of DA = Therefore the Slope of AB = Slope of CD and

The slope of BC = Slope of DA

Also, the product of slope of two adjacent sides is not equal to -1, therefore it is not a rectangle.

Hence ABCD is a parallelogram.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

By using thRD Sharma - Mathematics

Find the angle beRD Sharma - Mathematics

Without usiRD Sharma - Mathematics

The equation of tMathematics - Exemplar

The value of the Mathematics - Exemplar

Equation of the lMathematics - Exemplar

The equation of tMathematics - Exemplar

Using the mRD Sharma - Mathematics

One vertex of theMathematics - Exemplar