Question

what is the term for a transformation that flips a figure over a line? a dilation b reflection c rotation what are the coordinates of point c after being reflected over the x - axis? a (1, - 4) b (- 1, 4) what are the coordinates of point a after being reflected over the line y = x? a (- 3, 3) b (3, - 3)

Explanation:

First Question:

Dilation is a transformation that changes the size of a figure. Rotation is a transformation that turns a figure around a point. Reflection is a transformation that flips a figure over a line, matching the description in the question.

When reflecting a point \((x, y)\) over the \(x\)-axis, the rule is \((x, y) \to (x, -y)\). From the diagram, point \(C\) is \((1, 4)\). Applying the rule, we get \((1, -4)\).

When reflecting a point \((x, y)\) over the line \(y = x\), the rule is \((x, y) \to (y, x)\). From the diagram, point \(A\) is \((-3, 3)\). Applying the rule, we get \((3, -3)\).

Answer:

B. reflection

Second Question: