Question

GIVEN BRAILIEST

Which of the following transformations will make line m coincide with line l? A. Clockwise rotation 90 about (7, 0) B. Counterclockwise rotation 90 about (−1, 0) C. Counterclockwise rotation 90 about P D. Clockwise rotation 180 about P

Answer 1

Option C. Counterclockwise rotation 90 about P

Explanation:

As shown at the graph:

The point of intersection between line m and line l is the point P

So, the reasonable rotation must be about point p, they are like a spinner

Also, point P is (3,0)

so, the equation of the line l is x = 3

We will check the options:

A. Clockwise rotation 90 about (7, 0) ⇒ Wrong

Because it will give the line x = 7

B. Counterclockwise rotation 90 about (−1, 0) ⇒ Wrong

Because it will give the line x = -1

C. Counterclockwise rotation 90 about P ⇒ True

Because it will give the line x = 3 which is the line l

D. Clockwise rotation 180 about P ⇒ Wrong

Recuse it will give the same line m

So, the answer is option C. Counterclockwise rotation 90 about P