The question seems to be asking about the type of transformation that would map a large triangle onto a smaller triangle. Let’s analyze each type of transformation to determine which one fits the description:

Solution By Steps

Step 1: Understanding Dilation

Dilation is a transformation that changes the size of a figure without altering its shape. It involves multiplying the dimensions of the figure by a scale factor. If the scale factor is less than 1, the figure becomes smaller. This seems to match the requirement of mapping a large triangle onto a smaller one.

Step 2: Understanding Reflection

Reflection is a transformation that flips a figure across a line, called the line of reflection. It does not change the size of the figure but only its orientation. This does not match the requirement of making a figure smaller.

Step 3: Understanding Rotation

Rotation is a transformation that turns a figure around a point, called the center of rotation. Like reflection, it does not change the size of the figure but only its orientation. This does not match the requirement of making a figure smaller.

Step 4: Understanding Translation

Translation is a transformation that slides a figure without turning or resizing it. This does not match the requirement of making a figure smaller.

Final Answer

The transformation that maps a large triangle onto a smaller triangle is dilation.