Question

12. You are given AABC with A(1, 4) B(-6, -2) C(4, -3). What rule transforms the triangle to give you the points A'(1, -4) Bʻ(-6, 2) C(4, 3)? What type of transformation is it?

Answer 1

Given:

The objective is to find the rule and the type of transformation.

The given coordinates of triangle are,

A(1, 4) B(-6, -2) C(4, -3).

The transformed coordinates of triangle are,

A'(1, -4) Bʻ(-6, 2) C'(4, 3)

By considering the coordinates of x, there is no change in A to A', B to B' and C to C'.

But in y axis, all the coordinates are same and opposite in direction.

Consider the coordinates of inital triangle as f(x).

Thus, the rule of trasformation will be,

$f(x)=-\lvert x\rvert$

Also, the type of transformation will be reflected over x-axis.

Hence, the required results are provided.