Three vertices of a parallelogram are A(-2,2), B(6,2),C(4,-3). Plot th – InterviewSolution

InterviewSolution

1.	Three vertices of a parallelogram are A(-2,2), B(6,2),C(4,-3). Plot these points on a graph paper and hence use it to find co-ordinate of the fourth vertex D. Also, find the co-ordinates of the mid-point of the side CD. What is the area of the parallelogram ?
Answer» Solution :Plot the points `A(-2,2), B(6,2)` and `C(4,-3)` as usual. COMPLETE the parallelogram ABCD. From the graph, the co-ordinates of the point D are `(-4,-3)`. The co-ordinates of the mid-points M of CD are `(0,-3)`. From the FIGURE, CD=8 units and the height of the parallelogram ABCD corresponding to the side CD=5 units. `therefore` The area of parallelogram ABCD = (`8xx5`) sq.units =40sq.units

Discussion

No Comment Found

Related InterviewSolutions

Prove that 8sqrt(5) is irrational.
A point C is said to lie between the points A and B if
ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that ( i ) triangle ABE ~= triangle ACF (ii) AB = AC i.e ABC is an isoceles triangle
(a) (i) By takingany twoirrational numbers,prove that their sumis arational number. (ii) By takingany twoirrational numbers, prove that their difference is a rational number. (b) Insert in between1/7 and 2/7 (i)a rational number : (ii) an irrational number.
Find the mean of all prime numbers between 20 and 50.
The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, find the length of the equal sides.
If A=60^(@), verify that : (i) sin^(2)A+cos^(2)A=1"(ii) "sec^(2)A-tan^(2)A=1
Construct a DeltaABC whose perimeter is 10.5 cm and the base angles are 60^(@) and 45^(@).
Draw an angle of 80^(@) with the help of protractor . Then, construct angles of (i) 40^(@) (ii) 160^(@) and (iii) 120^(@) .
Water is pouring into a conical vessel of diameter 5.2m. And slant height 6.8 m(as shown in the adjoining ) , at the rate of 1.8 m^(3)per minute .How long will it take to fill the vessel?