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.

### Related Questions to study

### Which of the statements is true in the case of the given triangle?

The base is divided in the same ratio as the sides containing the angle.

### Which of the statements is true in the case of the given triangle?

The base is divided in the same ratio as the sides containing the angle.

### To find the value of *p, *which statements can be used?

Her, the value of p is 43.5.

### To find the value of *p, *which statements can be used?

Her, the value of p is 43.5.

### In the figure, to find the value of *x* which theorem can be used?

Here, the value of x is 10.

### In the figure, to find the value of *x* which theorem can be used?

Here, the value of x is 10.

It is also called basic proportionality theorem.

It is also called basic proportionality theorem.

### Find the length of the segment AB

It is also called basic proportionality theorem or Thales' theorem.

### Find the length of the segment AB

It is also called basic proportionality theorem or Thales' theorem.

### In the given triangle then the line segment DE ll AC

It is also called midpoint theorem.

### In the given triangle then the line segment DE ll AC

It is also called midpoint theorem.