Question
Show that $\square ABCD$ is a parallelogram, if $A (-1,2)$, $B(-5,-6)$, $C(3,-2)$ and $D(7,6)$

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

$x+3 y=7 ; 2 x+y=-1$
If the sum of roots of the quadratic equation is $\frac{1}{x+p}+\frac{1}{x+q}=\frac{1}{r}$ is zero, show that the product of the roots is $-\left(\frac{p^2+q^2}{2}\right)$.
While covering a distance of 30km. Ajeet takes 2 hours more than Amit. If Ajeet doubles his speed, he would take 1 hour less than Amit. Find their speeds of walking.
Image
In the adjoining figures, arc AXC and arc AYC are drawn with radius 8 cm and centres as point B and point D respectively. Find the area of shaded region if $\square$ABCD is a square with side 8 cm.
$\Delta ABC \sim \Delta PQR$. In $\Delta ABC$, $AB=3.6$ cm, $BC=4$ cm and $AC=4.2$ cm. The corresponding sides of $\Delta ABC$ and $\Delta PQR$ are in the ratio 2:3, construct $\Delta ABC$ and $\Delta PQR$.
A dealer sells an article for $Rs. 24$ and gains as much percent as the cost price of the article. Find the cost price of the article.
If two consecutive angles of cyclic quadrilateral are congruent, then prove that one pair of opposite sides is congruent and other is parallel.
Solve the following systems of equations:
99x + 101y = 499,
101x + 99y = 501.
Two pipes running together can fill a cistern in $3 \frac{1}{13}$ minutes. If one pipe takes 3 minutes more than the other to fill it, find the time in which each pipe would fill the cistern.
A cylindrical bucket of diameter 28 cm and height 20 cm was full of sand. When the sand in the bucket was poured on the ground, the sand got converted into a shape of a cone. If the height of the cone was 14 cm, what was the base area of the cone?