NCERT Class 9 Maths Formula CBSE Board Sample Problems Part 9
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9. Area of Parallelogram
S.no | Terms | Descriptions |
1 | Area of figure | Area of a figure is a number (in some unit) associated with the part of the plane enclosed by that figure. ![]() Area of Figure Loading image••• |
2 | Properties of Area | 1) Two congruent figures have same area ![]() Two Congruent Loading image••• ![]() Two Congruent Loading image••• 2) If two figure have same area, they are not necessary congruent ![]() If Two Figure Have Same Area Loading image••• ![]() If Two Figure Have Same Area Not Necessary Congruent Loading image••• 3) If a planar region formed by a figure T is made up of two non-overlapping planar regions Formed by figures P and Q, then ar (T) = ar (P) + ar (Q), where ar (X) denotes the area of Figure X. ![]() Properties of Area Loading image••• |
3 | Figure on the same base and between same parallels | Two figures are said to be on the same base and between the same parallels, if they have a common base (side) and the vertices, (or the vertex) opposite to the common base of each figure lies on a line parallel to the base. ![]() Figure on the Same Base and between Same Parallels Loading image••• In the above figure triangle and parallelogram are on the same base and between same parallel |
4 | Parallelogram on same base and between same parallel | Parallelograms on the same base (or equal bases) and between the same parallels are equal in area. Area of Parallelogram ABCD= Area of Parallelogram PBCQ |
5 | Area of Area of parallelogram | Area of Area of parallelogram is equal base multiplied by Parallelogram Height ![]() Area of Area of Parallelogram Loading image••• Area of Parallelogram = Height X Base Parallelograms on the same base (or equal bases) and having equal areas lie between the same parallel |
6 | Triangles and Parallelogram | a) If a parallelogram and a triangle are on the same base and between the same parallels, then area of the triangle is half the area of parallelogram Area of triangle ABD=Area of triangle ACB ![]() Area of Parallelogram ABCD Loading image••• Area of triangle ADB b) Triangles on the same base (or equal bases) and between the same parallels are equal in area ![]() Area of Triangle ABD=Area of Triangle ACB Loading image••• Area of triangle ABD=Area of triangle ACB |
7 | Area of Triangle | 1) Area of triangle is given by 2) Triangles on the same base (or equal bases) and having equal areas lie between the same parallels |