Question

a transformation that changes the size of a figure but keeps its shape is called ______.
the comparison of two quantities, often expressed in the form \a to b,\ is called a ______.
the constant value that determines how much a figure is enlarged or reduced during a dilation is called the ______ factor.
the original figure before a transformation, such as a dilation, is known as the ______.
a figure resulting from a transformation, such as a dilation, is called the ______.
an equation that shows two ratios are equal is called a ______.

Explanation:

1. First Question

In geometry, a dilation is a transformation that changes the size of a figure while preserving its shape.

A ratio is a comparison of two quantities, typically expressed in the form "a to b", "a:b", or $\frac{a}{b}$.

In a dilation, the scale factor is the constant value that dictates the enlargement or reduction of the figure.

Answer:

dilation

2. Second Question