Mathematics
Grade9
Easy
Question
In the given triangle 
then the line segment DE ll AC
- Triangles proportionality theorem
- Converse proportionality theorem for triangles
- Angle bisector theorem for triangles
- Theorem for parallel lines cut by a transversal in proportion
Hint:
If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
The correct answer is: Triangles proportionality theorem
In the given triangle, BD/DA = BE/EC, then the line segment DE ll AC by triangles proportionality theorem.
Hence, the correct option is A.
It is also called midpoint theorem.
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