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Example 7: In ∆ ABC, D, E and F are respectively the mid-points of sides AB, BC and CA (see Fig. 8.27). Show that ∆ ABC is divided into four congruent triangles by joining D, E and F. Example 6…
Read MoreExample 6: ABCD is a parallelogram in which P and Q are mid-points of opposite sides AB and CD (see Fig. 8.18). If AQ intersects DP at S and BQ intersects CP at R, show that: (i) APCQ is a…
Read MoreExample 5: Show that the bisectors of angles of a parallelogram form a rectangle. Example 4 Example 6
Read MoreExample 4: Two parallel lines l and m are intersected by a transversal p (see Fig. 8.15). Show that the quadrilateral formed by the bisectors of interior angles is a rectangle. Example 3 Example 5
Read MoreExample 3: ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB (see Fig. 8.14). Show that (i) ∠ DAC = ∠ BCA and (ii) ABCD is a parallelogram Example 2…
Read MoreExample 2: Show that the diagonals of a rhombus are perpendicular to each other. IMP:- The proof is same for square and rhombus. Example 1 Example 3
Read MoreExample 1: Show that each angle of a rectangle is a right angle. Class 9 | Home Example 2
Read MoreQuestion 6: Write the following cubes in expanded form: (i) (2x + 1)3 (ii) (2a – 3b)3 (iii) (3/2 x + 1)3 (iv) (x – 2/3 y)3 Question 5 Question 7 Prerequisite Algebraic Identities
Read MoreQuestion 5: Factorise: (i) 4×2 + 9y2 + 16z2 + 12xy – 24yz – 16xz (ii) 2×2 + y2 + 8z2 – 2 √2 xy + 4 √2 yz – 8xz Question 4 Question 6 Prerequisite Algebraic Identities
Read MoreQuestion 4: Expand each of the following, using suitable identities: (i) (x + 2y + 4z)2 (ii) (2x – y + z)2 (iii) (–2x + 3y + 2z)2 (iv) (3a – 7b – c)2 (v) (–2x + 5y – 3z)2…
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