Everything Maths Grade 10

9.Study the diagram below; it is not necessarily drawn to scale. Two triangles in the figure are congruent:

△QRS△QP T. Additionally,SN=SR. You need to prove thatN P T Sis a parallelogram.

N

P

R

T

Q

S

10.Study the diagram below; it is not necessarily drawn to scale. QuadrilateralXW STis a parallelogram and

T VandXWhave lengthsband 2 b, respectively, as shown. You need to prove that△T V U△SV W.

W X

U

S

V

T

b

2 b

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1.2GQP 2.2GQQ 3.2GQR 4.2GQS 5.2GQT 6.2GQV

7.2GQW 8.2GQX 9.2GQY 10.2GQZ

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408 12.1. Proofs and conjectures