Two lines perpendicular to the same line are ___ to each other.

Answer

To solve the question "Two lines perpendicular to the same line are ___ to each other," we can follow these steps:

### Step 1: Understand the concept of perpendicular lines
Two lines are said to be perpendicular if they intersect at a right angle (90 degrees).

**Hint:** Recall that perpendicular lines create a right angle when they meet.

### Step 2: Identify the given lines
Let’s denote the first line as line 'm' and the second line as line 'n'. Both lines 'm' and 'n' are perpendicular to a third line, which we can call line 'p'.

**Hint:** Visualize or draw line 'p' and then draw lines 'm' and 'n' perpendicular to it.

### Step 3: Analyze the relationship between the lines
Since both line 'm' and line 'n' are perpendicular to line 'p', they must have the same angle with respect to line 'p'. This means that they are oriented in the same direction relative to line 'p'.

**Hint:** Think about how two lines can be oriented in the same way if they are both perpendicular to a common line.

### Step 4: Determine the relationship between lines 'm' and 'n'
If two lines are both perpendicular to the same line, they cannot intersect each other at any point. Therefore, they must be parallel to each other.

**Hint:** Remember that parallel lines never meet and maintain a constant distance apart.

### Step 5: Conclude the answer
Thus, we can conclude that "Two lines perpendicular to the same line are parallel to each other."

**Final Answer:** Two lines perpendicular to the same line are **parallel** to each other.

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