Answer to Question #104748 in Geometry for Someone

Question

BEL is a triangle. BE is 4 cm BL is 3.5 cm and angle LBE is 50°. Let M be a point on BL. Construct the imagine R of point B by the translation of vector v = vector EM. Construct the imagine F of point L by the translation of vector v. Calculate RF and angle FRM

Answer 1

BR $\mid\mid$ EM, BR=EM, LF$\mid\mid$ EM, LF=EM $\implies$ BLFR parallelogram $\implies$ BL$\mid\mid$ RF, BL=RF=3.5 cm.

BR ∣∣ EM, BR=EM$\implies$ BEMR parallelogram $\implies$ BE$\mid\mid$ RM

angle MRF=angle LBE like angles between co- directional lines.

Answer: RF=3.5 cm, angle FRM =50⁰.