(a) draw the image of pqr after a rotation of 180° about the origin. label the image p'q'r' .
(b) draw the image of pqr after a reflection across the x-axis. label the image p"q"r" .

Reflection states that it is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

(a)

The coordinates of triangle PQR from the given figure is:

P = (1, -1)

Q = (3 , -2)

R = (3 , -4)

To rotate a figure 180 degrees:

The rule of rotation of 180 degree :

Apply the above rule on PQR we have;

and

The label of image P'Q'R' as shown below in the figure:

(b)

The rule of reflection across the x-axis is:

Apply the above rule on PQR triangle we get;

Label of image P"Q"R" as shown in the figure.

i use my brain for prombles like this maybe you could try it

step-by-step explanation: