Answer:
The answer is (0 , 2) , (-6 , 2) , (-4 , 5)
The 3rd picture
Step-by-step explanation:
* Lets talk about the reflection across x-axis and then the
rotation clockwise around the origin
- If the point is (x , y), and rotate it across the x- axis, that
means we will change the position of the point from up to
down or from down to up the x-axis, so we will change the
sign of the y-coordinate, then the image is (x , -y)
* From the graph the vertices of the triangle are
(-2 , 0) , (-2 , 6) , (-5 , 4)
* After the reflection across x-axis their images will be
(-2 , 0) , (-2 , -6) , (-5 , -4)
* The rotation around the origin with 90° clockwise means
we will turn each point by 90° from up and right to right and
down
- That means we switch x-coordinate and y-coordinate and
change the sign of x-coordinate, then the image is (y , -x)
* Lets Rotate the vertices of the triangle (-2 , 0) , (-2 , -6) , (-5 , -4)
* After rotation 90° clockwise around the origin their images will be
- (0 , 2) , (-6 , 2) , (-4 , 5)
* Look to all answer we will find the third picture is the right answer
- The right picture is attached
