Question

A triangle with vertices at (1,1), (4,1), and (1,3) is transformed to a triangle with vertices at (3,1), (6,1), and (3,3). Which transformation was applied?
*
1 point
Translation 2 units to the right
Reflection over the y-axis
Rotation 90 degrees clockwise about the origin
Translation 2 units up

Answer 1

To determine the transformation applied to the triangle, we can look at the coordinates of the original triangle and the transformed triangle.

The original triangle has vertices at:
- A(1, 1)
- B(4, 1)
- C(1, 3)

The transformed triangle has vertices at:
- A'(3, 1)
- B'(6, 1)
- C'(3, 3)

Now let's analyze the changes for each vertex:

- For A(1, 1) to A'(3, 1):
- The x-coordinate changes from 1 to 3 (which is a translation of 2 units to the right).
- The y-coordinate remains the same.

- For B(4, 1) to B'(6, 1):
- The x-coordinate changes from 4 to 6 (which is also a translation of 2 units to the right).
- The y-coordinate remains the same.

- For C(1, 3) to C'(3, 3):
- The x-coordinate changes from 1 to 3 (again, a translation of 2 units to the right).
- The y-coordinate remains the same.

Since all the vertices of the original triangle have been translated 2 units to the right, the correct transformation is:

**Translation 2 units to the right**.