Question

let ABCD be a convex quadrilateral. points e and f are midpoints of sides AB and CD. point G is the intersection of lines AF and DE. Point H is the intersection of lines CE and BF. Prove that area of quadrilateral EHFG is equal to the sum of areas of triangles AGD and BHC.

Answer 1

Answer:

let ABCD be a convex quadrilateral. points e and f are midpoints of sides AB and CD. point G is the intersection of lines AF and DE. Point H is the intersection of lines CE and BF. Prove that area of quadrilateral EHFG is equal to the sum of areas of triangles AGD and BHC.

Step-by-step explanation:

let ABCD be a convex quadrilateral. points e and f are midpoints of sides AB and CD. point G is the intersection of lines AF and DE. Point H is the intersection of lines CE and BF. Prove that area of quadrilateral EHFG is equal to the sum of areas of triangles AGD and BHC.

let ABCD be a convex quadrilateral. points e and f are midpoints of sides AB and CD. point G is the intersection of lines AF and DE. Point H is the intersection of lines CE and BF. Prove that area of quadrilateral EHFG is equal to the sum of areas of trialet ABCD be a convex quadrilateral. points e and f are midpoints of sides AB and CD. point G is the intersection of lines AF and DE. Point H is the intersection of lines CE and BF. Prove that area of quadrilateral EHFG is equal to the sum of areas of triangles AGD and BHC.ngles AGD and BHC.