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In ∆ ABC and ∆ DEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram (ii) quadrilateral BEFC is a parallelogram (iii) AD || CF and AD = CF (iv) quadrilateral ACFD is a parallelogram (v) AC = DF (vi) ∆ ABC ≅ ∆ DEF.

Define the opposite angles of quadrilateral. To prove the opposite angles of quadrilateral are supplementary. Class 9th Maths Important Question Answer, Session 2023-2024. Quadrilaterals, EXERCISE 8.1, Page No: 147, Questions No:11.

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keshav kumar
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In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ see Figure. Show that: (i) ∆ APD ≅ ∆ CQB (ii) AP = CQ (iii) ∆ AQB ≅∆ CPD (iv) AQ = CP (v) APCQ is a parallelogram

Opposite angles in a parallelogram, why are congruent. To prove is a diagonal of parallelogram. Class 9th Maths, Page No:147, Questions No:9, Exercise 8.1 NCERT, Solutions for Class 9th Maths, Session 2023-2024.

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