Question

Can you draw the image of triangle ABC if you rotate or turn the given triangle 180 degrees about vertex C?

Answer 1

Rotating a triangle 180 degrees around a vertex will result in a congruent triangle with flipped orientation. Vertex C will be at the same position, while the other two vertices will switch places across vertex C.

Step-by-step explanation:

When you rotate a triangle 180 degrees around one of its vertices, you will create an image of the triangle that is a mirror reflection across that point. To illustrate, if triangle ABC is rotated around vertex C, then vertices A and B will switch places across a line that is straight through vertex C.

Here is a step-by-step explanation of how it's done:

1. Identify vertex C as the point of rotation.
2. Trace the triangle or draw it on a piece of transparent paper for easier visualization.
3. Rotate the transparent paper or your tracing so that the triangle makes a half-turn (180 degrees) around vertex C. The initial positions of vertices A and B are now on the opposite side of vertex C.
4. If necessary, use a protractor to ensure the accuracy of the 180-degree rotation.
5. Finally, label the new positions of vertices A and B to get the rotated triangle, often denoted as A'B'C, where C remains unchanged, and A and B are at the new locations.

After the rotation, the image of triangle ABC is congruent to the original one, meaning the size and shape are preserved but the orientation is flipped.