Question

which transformation maps the large triangle onto the small triangle?
dilation
reflection
rotation
translation

Explanation:

• Dilation: A dilation is a transformation that changes the size of a figure but not its shape. Here, the large triangle and the small triangle are similar (same shape), and the side lengths of the small triangle are half of the large triangle ($\frac{3}{6}=\frac{4}{8}=\frac{5}{10} =\frac{1}{2}$).
• Reflection: A reflection flips a figure over a line. There is no indication of a flip - like symmetry in the given triangles.
• Rotation: A rotation turns a figure around a point. There is no indication of a turning motion to map one triangle to the other.
• Translation: A translation slides a figure. But translation does not change the size of the figure.

Answer:

dilation