Mathematics
Grade9
Easy
Question
To find the value of AB in the figure, which theorem is used?
- 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: Theorem for parallel lines cut by a transversal in proportion
In the given figure, we can find AB by theorem for parallel lines and transversals.
Hence, the correct option is D.
If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.
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