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Example 8: l, m and n are three parallel lines intersected by transversals p and q such that l, m and n cut off equal intercepts AB and BC on p (see Fig. 8.28). Show that l, m and n…
Read MoreExample 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 MoreQuestion 12: Prove that a cyclic parallelogram is a rectangle. Question 11 Class 9 | Home Prerequisite It is commonly said that in mathematics one question can be solved in multiple ways. This question is another good example to prove…
Read MoreTheorem 8.10: The line drawn through the mid-point of one side of a triangle, parallel to another side bisects the third side. Theorem 8.9 Class 9 | Home
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