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Name __________________________________________ Date _______________ Geometry H: Chpt 3/4 Review (do in your notebooks) 1. Given: D AE BC ED CD G is mdpt of AB E C C E Prove: DG AB A B G B 2. Given: 1 2 BD CD Prove: ZC ZB 2 X A Z D 1 C 3. If an altitude of a triangle bisects the side to which it is drawn, then the triangle is isosceles. E is mdpt of CB 4. Given: ACB ABC A ACD ABD Prove: AD passes thru E D C B E 5. One diagonal of a quadrilateral bisects two angles of the quadrilateral. Prove that is bisects the other diagonal. 6. Given: TM SO T S TO SM Prove: TE ES E M O 7. Given: AC bisDB A AD x 2 AB 5x 14 DX 12x XB 28 y E D B DC 4 y 2 24 X CB 4 y Find: DX and XB 8. Given: C HGF is equilateral a.) If F x 32 and H 2x 4 , solve for x and find the mG. b) If the perimeter of HGF 6 y 24 and HG=3y-7 , find the perimeter of 9. Given: ABC is isosceles with base BC mB ( x 2 6 x), mC 55 Find: Solve for x HGF.