Question

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

Answer 1

Answer:

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:

$(x,y)\rightarrow (-x,y)$

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.