The following mapping statements describe the transformation of the vertices of △abc to the vertices of its image, △a′b′c′. a(0,2)↦a′(0,2) b(2,9)↦b′(−2,9) c(4,2)↦c′(−4,2) what is the correct description of the transformation that maps triangle abc to triangle a′b′c′?
a. a translation 2 units left
b. a translation 2 units down
c. a reflection in the y-axis
d. a reflection in the x-axis

C. a reflection in the y-axis

Step-by-step explanation:

The mapping statement for the transformation of the vertices of the triangle ABC is given as following:

A(0,2)→A'(0,2)

B(2,9)→B'(-2,9)

C(4,2)→C'(-4,2)

To find the correct transformation for the given statement.

Solution:

From the given statements, the general transformation statement for the the vertices of the triangle can be given as:

The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.

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