Question

a is the set of all points equidistant from a center. a circle is the set of all points equidistant from a. the distance from the center of a circle to any point on the circle is the. the longest chord in a circle is the. a transformation that enlarges or reduces a figure while preserving its shape is a. the ratio used in a dilation is called the. the transformation used to align the centers of two circles is a. the uniform scaling of all points in a dilation ensures the remains unchanged.

Explanation:

Step1: Recall circle definition

A circle is the set of all points equidistant from a center. So the first blank is "circle".

Step2: Recall circle - related terms

A circle is the set of all points equidistant from a "center".

Step3: Recall radius definition

The distance from the center of a circle to any point on the circle is the "radius".

Step4: Recall chord - related knowledge

The longest chord in a circle is the "diameter" as it passes through the center.

Step5: Recall transformation concept

A transformation that enlarges or reduces a figure while preserving its shape is a "dilation".

Step6: Recall dilation - related ratio

The ratio used in a dilation is called the "scale factor".

Step7: Recall transformation for circle - center alignment

The transformation used to align the centers of two circles is a "translation".

Step8: Recall dilation property

The uniform scaling of all points in a dilation ensures the "shape" remains unchanged.

Answer:

1. circle
2. center
3. radius
4. diameter
5. dilation
6. scale factor
7. translation
8. shape