Question

A similarity transformation maps ABC to RST.

The vertices are A(3,-2), B(0, 4), C(-1, -3) and R(-4,-6), S(8, 0), 7(-6, 2).
Write a coordinate rule for this composition.

Answer 1

A coordinate rule for a similarity transformation mapping ABC to RST, use corresponding coordinates of each vertex and substitute them into the coordinate rule equation.

Step-by-step explanation:

To write a coordinate rule for a similarity transformation mapping ABC to RST, we need to find the relationship between the coordinates of the original triangle and the transformed triangle.

Let's take the corresponding coordinates of each vertex:

• A(3, -2) maps to R(-4, -6)
• B(0, 4) maps to S(8, 0)
• C(-1, -3) maps to T(-6, 2)

Using these coordinates, we can determine the coordinate rule for this composition:

x' = ax + c

y' = by + d

Substituting the corresponding coordinates, we have:

• x' = -3x - 13
• y' = -2y - 5