187k views
4 votes
Triangle ABC had coordinates A(2,0), B(-1,5), and C(4,3). Determine the coordinates of the vertices of the image after a rotation 180 degrees about the origin.

1 Answer

5 votes

Answer:

The coordinates of the vertices of the triangle ABC after a rotation of 180 degrees about the origin are:

A'(-2,0), B'(1,-5), and C'(-4,-3).

Explanation:

To determine the coordinates of the vertices of the triangle ABC after a rotation of 180 degrees about the origin, we can use the following transformation rules:

For a rotation of 180 degrees about the origin:

- The x-coordinate becomes its negative counterpart.

- The y-coordinate becomes its negative counterpart.

Let's apply these rules to each vertex of the triangle:

Vertex A(2,0):

- The x-coordinate becomes -2.

- The y-coordinate remains 0.

Therefore, after the rotation, vertex A becomes A'(-2,0).

Vertex B(-1,5):

- The x-coordinate becomes 1.

- The y-coordinate becomes -5.

Therefore, after the rotation, vertex B becomes B'(1,-5).

Vertex C(4,3):

- The x-coordinate becomes -4.

- The y-coordinate becomes -3.

Therefore, after the rotation, vertex C becomes C'(-4,-3).

User Nickik
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories