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. The ratio of the corresponding sides of the large triangle (\(6,8,10\)) and the small triangle (\(3,4,5\)) is \(\frac{3}{6}=\frac{4}{8}=\frac{5}{10}=\frac{1}{2}\). This shows a reduction in size by a scale factor of \(\frac{1}{2}\), which is characteristic of dilation.
• Reflection: A reflection flips a figure over a line. There is no indication of a flip (mirror - like image) in the given triangles.
• Rotation: A rotation turns a figure around a point. There is no indication of a turn (change in orientation around a point) in the given triangles.
• Translation: A translation slides a figure. There is no indication of a slide (movement without resizing) in the given triangles as the size has changed.

Answer:

dilation