The first transformation can be:
- Reflected across the y-axis: seeing in the graph, the y-axis is not a reflection axis.
- Reflected across the line y=x: it could be, but it is not reflected, as the points are not equally distance and perpendicular to the line y=x, as if they were reflected.
(we can conclude looking at both triangles that there is not reflection, but a rotation).
- Rotated 180 degrees about the origin: this is the right answer. We can draw a line between each point and the origin, and if it is rotated 180 degrees, we get the transformed point.
Answer first one: Rotated 180 degrees about the origin.
The second transformation can be:
- Reflected across the x-axis: not right. The triangle is not reflected but translated.
- Translated 3 units down: This is the right answer. The triangle is translated.
- Rotated 90 degrees counterclockwise about the origin: The triangle is not rotated.
Answer second one: Translated 3 units down.
Third and fourth options.
As the triangles are not scaled, the transformations are both rigid and the resulting triangles are congruent (equal angles and sides).
