# given abcd is a parallelogram ac bisects bcd and bcd

Want to see the step-by-step answer? star. (iv)    In quadrilateral ACFD,AD || CF and AD = CF| From (iii)∴ quadrilateral ACFD is a parallelogram.| ∵ A quadrilateral is a parallelogram if a pair of opposite sides are parallel and are of equal length(v)    ∵ ACFD is a parallelogram| Proved in (iv)∴ AC || DF and AC = DF.| In a parallelogram opposite sides are parallel and of equal length(vi)    In ∆ABC and ∆DEF,AB = DE| ∵ ABED is a parallelogramBC = EF| ∵ BEFC is a parallelogramAC = DF    | Proved in (v)∴ ∆ABC ≅ ∆DEF.| SSS Congruence Rule, Given: The diagonals AC and BD of a quadrilateral ABCD are equal and bisect each other at right angles.To Prove: Quadrilateral ABCD is a square.Proof: In ∆OAD and ∆OCB,OA = OC    | GivenOD = OB    | Given∠AOD = ∠COB| Vertically Opposite Angles∴ ∆OAD ≅ ∆OCB| SAS Congruence Rule. then x and y=? 2021 Zigya Technology Labs Pvt. ∆ADB ∆CDB 8. Title: Given: Parallelogram ABCD with diagonal Author: Glenn Clemens Last modified by: GLENN Created Date: 6/6/2013 8:57:00 PM Company: Home Other titles CPCTC 8. Damit Verizon Media und unsere Partner Ihre personenbezogenen Daten verarbeiten können, wählen Sie bitte 'Ich stimme zu.' CE ED Side 3. 4. Ex 8.1, 6 Diagonal AC of a parallelogram ABCD bisects ∠ A. D is the midpoint of 2. prove that BC=CD - 1753581 Given: ABCD is a rectangle in which diagonal AC bisects ∠A as well as ∠C. Diagonal AC of a parallelogram ABCD bisects ∠A (see figure). Solution: Given, Three angles are 110°, 50° and 40° D x C. All rt are 3 and 4 right angles 5. star. Given: ABCD is arhombus. In a quadrilateral abcd bisecter of angle c and d intersect at o. (ii) From above,∠ACD = ∠CAD∴ AD = CD| Sides opposite to equal angles of a triangle are equal∴ AB = BC = CD = DA| ∵ ABCD is a || gm∴ ABCD is a rhombus. (iii)    In ∆AQB and ∆CPD,∵ AB || CD| Opposite sides of ||gm ABCD and a transversal BD intersects them∴ ∠ABD = ∠CDB| Alternate interior angles⇒ ∠ABQ = ∠CDPQB = PD    | GivenAB = CD| Opp. 10. Show that the line segments AF and EC trisect the diagonal.. 414-3 Rhombus and Square On 1 — 2, refer to rhombus ABCD where diagonals AC and BD intersect at E. Given rho bus ABCD where diagonals AC and BD intersects at E. - 1427736 But I don't know how $\angle ADC = \angle BCD$ in the above problem? 232, Block C-3, Janakpuri, New Delhi, The main topics covered in NCERT Solutions for Class 9 Maths Chapter 8 are given below: 8.1 Introduction of quadrilaterals 8.2 Angle Sum Property of a Quadrilateral 8.3 Types of Quadrilaterals 8.4 Properties of a Parallelogram 8.5 Another Condition for a Quadrilateral to be a Parallelogram 8.6 The Mid-point Theorem 8.7 Summary In Fig. AC = AC. Selina Concise Mathematics Class 8 ICSE Solutions Chapter 17 Special Types of Quadrilaterals Selina Publishers Concise Mathematics Class 8 ICSE Solutions Chapter 17 Special Types of Quadrilaterals Special Types of Quadrilaterals Exercise 17 - Selina Concise Mathematics Click hereto get an answer to your question ️ In figure, the diagonal AC of a quadrilateral ABCD bisects the angle A and C . Value of