Question

# Identify the perpendicular lines in the given figure.

- Both A and B

Hint:

### We are given a figure with 6 lines. From the given lines, we have to guess the perpendicular lines. Perpendicular lines make the angle 90° at the intersection point. They are at 90° with each other. We have to find pairs of such lines.

## The correct answer is: Both A and B

### The given lines are FQ, MW, YG, HT, CN, DE.

We have to find lines that are perpendicular to each other. The lines which are at 90° to each other.

Let’s check for each lines. We will just check the vertical lines. As it’s intersection, horizontal will be checked automatically.

1) FQ

FQ intersect two lines CN and DE. It intersects both the lines at 90°.

FQ ⊥ CN and FQ ⊥ DE.

2) MW

It intersects three lines CN, DE and HT. It intersects the lines CN and DE at 90°. It intersects HT at some other angle.

MW ⊥ CN and MW ⊥ DE.

3) YG

It intersects three lines CN, DE and HT. It intersects the lines CN and DE at 90°. It intersects HT at some other angle.

YG ⊥ CN and YG ⊥ DE

4) HT

It intersects four lines, but all at different angles. It is not perpendicular to any line

So, if we see

CN ⊥ FQ, CN ⊥ MW and CN ⊥ YG

DE ⊥ FQ, DE ⊥ MW and DE ⊥ YG

Both the options are present.

So, the option “ both A and B “ is the right option.

YG ⊥ CN and YG ⊥ DE

4) HT

It intersects four lines, but all at different angles. It is not perpendicular to any line

So, if we see

CN ⊥ FQ, CN ⊥ MW and CN ⊥ YG

DE ⊥ FQ, DE ⊥ MW and DE ⊥ YG

Both the options are present.

So, the option “ both A and B “ is the right option.

For such questions, we should know about perpendicular lines and parallel lines. We should start with horizontal lines or verical lines. We should follow the order or there are chances to miss the lines.