Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4
)? a 180 (dagree) rotation about the origin a 90 (dagree) counterclockwise rotation about the origin and a translation down 4 units a 90 (dagree) clockwise rotation about the origin and a reflection over the y-axis a reflection over the y-axis and then a 90(dagree) clockwise rotation about the origin
The triangles ABC and A'B'C' are shown in the diagram below. The transformation is a reflection in the line . This is proved by the fact that the distance between each corner ABC to the mirror line equals to the distance between the mirror line to A'B'C'.
Since the rolling of the six-sided die and the tossing of the dime are seperate events, their probabilities do not affect each other. Therefore the probability of the dime landing on tails should be %50.
