Question

Use the graph to answer the question. The first one is the graph. The rest are the choices.

Olivia reflects the triangle over the x-axis, then rotates it 90 degrees clockwise around the origin.

Which graph shows the resulting triangle?

Answer 1

The answer is (0 , 2) , (-6 , 2) , (-4 , 5)

The 3rd picture

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