Question

The question asks select all the sequences of transformations that could take figure P to figure Q choices:A a single clock wise rotation B two clockwise rotations of 90 degrees C A single clockwise rotations of 180 degrees.D a transition 5 units to the right and then a reflection over the x axis.E a reflection over the x axis the a diffrent reflexion over the y axis

Answer 1

Answer:

C. A single clockwise rotations of 180 degrees.

Explanations:

First, let us find the coordinates of the vertices of figure P and that of the corresponding vertices of Q

Figure P Figure Q

(-4, 3) (4, -3)

(-4, 1) (4, -1)

(-1, 1) (1, -1)

By careful observation of the coordinates of P and Q, we would see that:

(x, y) in P is transformed to (-x, -y) in Q

Note that:

When an object of coordinates (x, y) is transformed to an image of coordinates (-x, -y), the type of transformation done is a clockwise rotation of 180 degrees