8. In the given figure, BM and DN are both perpendiculars to the segme

1.	8. In the given figure, BM and DN are both perpendiculars to the segmentAC and BMDN. Prove that AC bisects BDlg ndCoco ohtuse Points X and Y
Answer» See ∆DNP and ∆BMP, DN=MB (given)angle NPD = angle MPB (opposite angles)angle DNP = angle BMP =90° (given perpendiculars) So, ∆DNP and ∆BMP are congruentTherefore, DP=PB

8. In the given figure, BM and DN are both perpendiculars to the segmentAC and BMDN. Prove that AC bisects BDlg ndCoco ohtuse Points X and Y

Answer»

See ∆DNP and ∆BMP,

DN=MB (given)angle NPD = angle MPB (opposite angles)angle DNP = angle BMP =90° (given perpendiculars)

So, ∆DNP and ∆BMP are congruentTherefore, DP=PB