7. Given RS and TV bisect each other at point x. TR and SV are drawn Prove: TR = SV

8. Let ABC be a triangle, and let D, E, and F be the points where the incircle is tangent to sides BC, CA and AB respectively. (a) (b) Prove that the cevians AD, BE and CF are concurrent using Ceva's Theorem. Demonstrate the concurrency of the cevians by constructing the triangle, its incircle, and the cevians in GeoGebra. You should include a screenshot of your GeoGebra construction in your submission, le- aving all construction lines and circles in the diagram. You may use the shortcut constr- uction tools.

Do for each part its one question only and pls dont do handwritten Question 3 Find the value of the variable and YZ if: 1 ) xY=11,YZ=4c,xZ=83 2) xY=7a,YZ=5a,xZ=6a+24 3) xY=5n,YZ=2n,xZ=91

In Hilbert plane, prove that the interior of a circle is convex. Hint: Prove first that if any ABC is a triangle and X is between A and B then either AX < AB or AX < AC. You may use propositions 2 - 27from book 1of Euclid.