[PDF] areas of parallelograms and triangles class 9 theorems

Important Theorems
  • Area of a triangle is ½ x base x height.
  • If a triangle and parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of a parallelogram.
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  • What are the theorems on parallelograms Class 9?

    Parallelogram Theorem #1 Converse: If each of the diagonals of a quadrilateral divides the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram.
    Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

  • What is the theorem of area of a parallelogram Class 9?

    Proof: gm ABCD and rectangle ABML are on the same base AB and between the same parallel lines AB and LC. ? ar(gmABCD) = ar(rectangle ABML) = AB × AL. ? area of a gm = base × height.

  • What are the 5 theorems of triangles Class 9?

    The Side–Side–Side Theorem, Side Angle Side Theorem, Angle Side Angle Theorem, Angle-Angle Side Theorem, and Right angle-Hypotenuse-Side or the Hypotenuse Leg Theorem are the five triangle congruence theorems.

  • What are the 5 theorems of triangles Class 9?

    Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

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AREAS OF PARALLELOGRAMS AND TRIANGLES

have equal areas (9 × 4 cm2 and 6 × 6 cm2) but clearly they are not such as rectangle square



CBSE NCERT Solutions for Class 9 Mathematics Chapter 9

Practice more on Areas of parallelograms and triangles Page - 1 www.embibe.com. CBSE NCERT Solutions for Class 9 Mathematics Chapter 9 [As per theorem].



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Do you remember that you have studied this formula for area of a parallelogram in Class VII. On the basis of this formula Theorem 9.1 can be rewritten as 



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Concise Selina Solutions for Class 9 Maths Chapter 16 Area

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DECUCTED PORTION MATHEMATICS Code - 041 CLASS IX

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CLASS IX. CHAPTER. TOPICS REMOVED. UNIT I-NUMBER SYSTEMS. REAL NUMBERS Proof of the theorem deleted- Two triangles are congruent if any.



16 THEOREMS RELATED WITH AREA

A diagonal of a parallelogram divides it into two congruent triangles (S.S.S.) and hence of equal area. Theorem 16.1.1. Parallelograms on the same base and