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9th Triangle test paper CBSE Test Paper

CLASS 9TH CBSE MATHS CHAPTER - TRIANGLE CBSE TEST PAPER-1 1. PQ = PR of < QPR and S and T are point on PR and PQ such that ∠PQS = ∠PRT . Prove that Δ PQS ≅ Δ PRT. 2. Two lines AB and CD intersect each other at the point O such that BC || DA and BC = DA. Show that O is the midpoint of both the line-segments AB and CD( join B-C and A-D) 3. In triangle P Q R , PQ > PR and QS and RS are the bisectors of ∠Q and ∠R, respectively. Show that SQ > SR 4. ABC is an isosceles triangle with AB = AC and BD and CE are its two medians. Show that BD = CE. 5. D and E are points on side BC of a Δ ABC such that BD = CE and AD = AE. Show that Δ ABD ≅ Δ ACE. 6. CDE is an equilateral triangle formed on a side CD of a square ABCD (join AE and BE). Show that Δ ADE ≅ Δ BCE. 7. BA ⊥ AC, DE ⊥ DF such that BA = DE and BF = EC. Show that Δ ABC ≅ Δ DEF. 8. Q is a point on the side SR of a Δ PSR such that PQ = PR. Prove that PS >