10. We're told that the diagonal AC bisects angles A and C. But all the interior angles of a rectrangle are 90º. ABCD is a rhombus. Question 1. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. asked Sep 22, 2018 in Class IX Maths by muskan15 ( -3,443 points) quadrilaterals Solution. abcd is a rhombus show that diagonal ac bisects a as well as c and diagonal bd bisects b as well as d - Mathematics - TopperLearning.com | w4k403szz This will clear students doubts about any question and improve application skills while preparing for board exams. Hence, ∠ ACD = ∠ ACB ⇒ 2x + 4 = 5x - 8 {Given that ∠ ACD= 2x + 4 and ∠ ACB= 5x - 8 } ⇒ 3x = 12 ⇒ x = 4 (Answer) Ex 8.1 Class 9 Maths Question 2. Get detailed answer of 6. Show that (i) It bisects \(\angle{C}\) also, (ii) ABCD is a rhombus. Show that diagonal AC bisects angle A as well as the angle C and diagonal BD bisects angle B as well as angle D? Each side of a rhombus is 10 cm long and one of its diagonals measures 16 cm. NCERT Exemplar Class 9 Mathematics Chapter 8 Quadrilaterals, is provided here for students to prepare for exams and score good marks. Diagonal AC of a parallelogram ABCD bisects A show that it bisects C also, ABCD is a rhombus - Math - Quadrilaterals We will use triangle congruence to show that the angles are equal, and rely on the Side-Side-Side postulate because we know all the sides of a rhombus are equal. Exercise 8.2 Page: 150. Show that diagonal AC bisects ∠A as well as ∠C and diagonal BD bisects ∠B as well as ∠D. Find all the angles of the quadrilateral. Important Questions for CBSE Class 9 Mathematics Chapter 2 Quadrilaterals The topics and sub-topics in Class 9 Maths Chapter 8 Quadrilaterals: Quadrilaterals Introduction Angle Sum Property Of A Quadrilateral Types Of Quadrilaterals Properties Of A Parallelogram Another Condition For A Quadrilateral To Be A Parallelogram The MidPoint Theorem Summary IMPORTANT QUESTIONS VERY SHORT … ∴ Diagonal AC = Diagonal BD. Show that (i) it bisects `\ /_C` also, (ii) ABCD is a rhombus. Chapter-wise NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals solved by Expert Teachers as per NCERT (CBSE) Book guidelines. If the diagonals of a parallelogram are equal, then show that it is a rectangle. If you have any query regarding Karnataka Board Class 9 Maths Chapter 7 Quadrilaterals Exercise 7.1, drop a comment below and we will get back to you at the earliest. Question 1: The angles of quadrilateral are in the ratio 3: 5: 9: 13. We will do this first for the angles ∠BAC ≅ ∠DAC and ∠BCA ≅ ∠DCA, following the exact same proof we did for a kite , and then we will repeat the process for the other two pairs of angles, using the other diagonal. Ans. Show that the line segments AF and EC trisect the diagonal BD. Let ABCD be a square and its diagonals AC and BD intersect each other at O. In a quadrilateral ABCD, the diagonal AC bisects angle BAD and AB = BC = CD. We hope the KSEEB Solutions for Class 9 Maths Chapter 7 Quadrilaterals Ex 7.1 helps you. ABCD is a rhombus. 8.21). 4 In a parallelogram, the diagonals bisect each other. Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square. Here is one way of solving this. The diagonal AC divides the rectangle into two triangles ABC and ACD. Show that diagonal AC bisects ∠ A as well as ∠C and diagonal BD bisects ∠B as well as ∠D. To show, AC = BD, AO = OC and ∠AOB = 90° Proof, In ΔABC and ΔBAD, Given diagonal AC bisects

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