What are shown to demonstrate that the triangles are congruent? The rotation is 90 degrees. What coordinates is the translation?
To demonstrate that two triangles are congruent after a 90-degree rotation, we would need to show that corresponding sides are equal in length and corresponding angles are congruent.
For example, if Triangle ABC is rotated 90 degrees counterclockwise to become Triangle A'B'C', we would show that AB = A'B', BC = B'C', and AC = A'C'. Additionally, we would show that angle A = angle A', angle B = angle B', and angle C = angle C'.
For the translation, the new coordinates would be determined based on the original coordinates of the vertices of the triangle. If the translation involves moving the triangle horizontally by 'a' units and vertically by 'b' units, then the new coordinates of the vertices would be:
- A'(x+a, y+b)
- B'(x+a, y+b)
- C'(x+a, y+b)
These coordinates show how the original triangle has been translated 'a' units horizontally and 'b' units vertically.