Question

The rule T5, -0.5 oR 0, 180(x,y) is applied to triangle FGH to produce triangle F’G’H’. What are the coordinates of vertex F’ of triangle F’G’H’?

Answer 1

A. (4, -1.5).............

Answer 2

Explanation:

Rule for the transformations has been given as,

`T_{(5, -0.05)o\text{R}(0, 180)}(x,y)` defines the rules as the translation by 5 units right and 0.5 units down followed by rotation of the triangle by 180° about the origin.

In other words,

Rule for translation:

F(x, y) → F"(x + 5, y - 0.5)

Followed by the rotation of 180° about the origin,

Rule of rotation,

F"(x', y') → F'(-x, -y)

Following these rules coordinates of the new triangle F'G'H' can be obtained.