Question

Through a point inside a triangle, three lines are drawn from the vertices to the opposite sides forming six triangular sections. Then:

• A. the triangles are similar in opposite pairs
• B. the triangles are congruent in opposite pairs
• C. the triangles are equal in area in opposite pairs
• D. three similar quadrilaterals are formed
• E. none of the above relations is true

Answer 1

The correct option is E none of the above relations is true

We may eliminate (a) and (d) by proving that corresponding angles are not equal. If (a) is false, (b) is certainly false. We may eliminate (c) by placing the point very close to one side of the triangle. Thus none of the four statements is true.