Question

Triangle ABC has coordinates A (1, -8), B(5, -4), and C(8,-9).

Describe a transformation that can be performed on △ ABC that will result in a triangle in the first quadrant

Answer 1

To transform triangle ABC to the first quadrant, we need to shift the entire triangle in the positive x and y directions by adding a positive constant value to both the x and y coordinates of each vertex.

Step-by-step explanation:

To transform triangle ABC to the first quadrant, we need to shift the entire triangle in the positive x and y directions. This can be achieved by adding a positive constant value to both the x and y coordinates of each vertex.

Let's take an example where we add 10 units to both the x and y coordinates of each vertex. The new coordinates of triangle ABC will be A'(11, 2), B'(15, 6), and C'(18, 1). The transformed triangle will lie entirely in the first quadrant.

Therefore, a transformation that can be performed on triangle ABC to result in a triangle in the first quadrant is a translation by adding a positive constant value to the x and y coordinates of each vertex.