Congruent Figures In our daily life we see many congruent objects like as, (i) Two 2 Rupees, 5 Rupees, or 10 Rupees coins. (ii) Two text books of mathematics of same class. Two figures or objects are called congruent, when one object cover the other completely and exactly. This means that two books or coins […]
Read More →Commutative Property of Multiplication Definition: It doesn’t matter which order the numbers are multiplied, any case we will get same answer. Example 1: If we multiplying two and three together we get 4 x 3 = 12 4 x 3 = 12 […]
Read More →Commutative Property of Addition Definition: It doesn’t matter which order the numbers are added, any case we will get same answer. Example 1: If we adding three and four together we get, 3 + 4 = 7 […]
Read More →Like and Unlike Algebraic Terms Similar or Like Terms In an algebraic expression, like terms are terms that have same variables with same exponents and only the numerical coefficients of like terms are different. The terms must have the same variables and the same exponents. 3x, 7x, 8x, 12x, x, -4x, -9x all […]
Read More →Set Theory : Equal and Equivalent Sets Definition & Examples: Equal Sets The two given sets have member of elements and the number of elements are exactly same, then the sets are called Equal Sets. The elements could be anything like picture, numbers, alphabets. The repetition of elements and the order of […]
Read More →Parallelograms on the same base and between the same parallels are equal in area. Given: Two parallelograms ABCD and EFCD, are on the same base DC and between the same parallel lines AF and DC. To prove: area (∥gm ABCD) = area (∥gm EFCD) Proof: In △ AED and △ BFC BC ∥ AD and AF is a transversal.So, ∠DAE = ∠CBF …..(1) (Corresponding angles of […]
Read More →Equivalent Fraction Definition: Equivalent fractions are the fractions that have different numerator and denominators but represent the same or equal value. Example: 1/2, 2/4, 3/6 and 4/8 all are equivalent fractions, because they all are equal to 1/2. Similarly 10/20, 20/40, 30/60 and 40/80 all are equivalent fractions, because they all are equal to 1/2. […]
Read More →Like and Unlike Fractions Like Fractions We see a group of fractions. 1/3, 2/3, 4/3, 7/3, 8/3, 10/3 We observe that in the group, denominator of each fraction is 3, i.e., the denominators of all the fractions are equal. Definition: Fractions with same denominators (bottom […]
Read More →Addition and Subtraction of Polynomials Addition of polynomials means we simply add the like terms. so, what is “Like terms”? Like terms are terms that have the variables, and powers are same, and coefficients of terms can be different. Example: 1. Yes 2x, -5x, 11x, […]
Read More →Simultaneous equations by Elimination Method Steps for solve linear equations with elimination method. Step 1: First we arrange both equations in standard form, placing like variables and constants one above the other. Step 2: Choose a variable (x or y) to eliminate, Multiply both equations by a suitable(non zero) constant to make the coefficients of one […]
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