Triangle LMN is reflected across a line, L = (12, –7), and L’ = (–7, 12). What is the line of reflection?
the x-axis
the y-axis
the line y = x
the line y = –x

Option C: The line is the line of reflection.

Explanation:

It is given that the across a line, and

Thus, the reflection is given by ⇒

Now, we shall determine the line of reflection.

Option A: the x-axis

To reflect the coordinates across x-axis is given by ⇒

Thus, the line of reflection of the coordinate L across x-axis is given by  

⇒

This is not the equal to the given line of reflection ⇒

Hence, the line of reflection is not across x-axis.

Thus, Option A is not the correct answer.

Option B : the y-axis

To reflect the coordinates across x-axis is given by ⇒

Thus, the line of reflection of the coordinate L across y-axis is given by  

⇒

This is not the equal to the given line of reflection ⇒

Hence, the given line of reflection is not across y-axis.

Thus, Option B is not the correct answer.

Option C: the line

To reflect the coordinates across is given by ⇒

Thus, the line of reflection of the coordinate L across the line is given by ⇒

This is equal to the given line of reflection ⇒

Hence, the given line of reflection is across the line

Thus, Option C is the correct answer.

Option D : the line

To reflect the coordinates across is given by ⇒

Thus, the line of reflection of the coordinate L across the line is given by ⇒

This is not the equal to the given line of reflection ⇒

Hence, the given line of reflection is not across the line .

Thus, Option D is not the correct answer.

answer: h

step-by-step explanation:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.