Question

determine which geometric transformation is illustrated in the diagram shown below diagram of triangles
options:
a. reflection
b. partially visible, likely translation
c. reflection
d. rotation
e. dilation

Explanation:

To determine the geometric transformation, we analyze each option:

• Reflection: Involves flipping over a line, creating a mirror image. The triangles don't appear mirrored.
• Translation: Moving a figure without rotation/reflection/dilation. The triangles have different orientations, so not translation.
• Rotation: Turning a figure around a fixed point. The triangles seem rotated (e.g., the right - angled vertex and the orientation change suggest a rotation about a point).
• Dilation: Resizing a figure (scaling up/down). The triangles appear to have the same size, so not dilation.

Among the options, rotation (Option D) best describes the transformation as the triangle has changed its orientation, consistent with a rotation about a point.

Answer:

D. rotation