Question

read the sentences below, filling in the blanks with items from this list. each item will be used once. dilation circle translation shape similar radius diameter center scale factor 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. all circles are classified as because dilations preserve proportionality.

Explanation:

• For the first blank, by the definition of a circle, it is the set of all points equidistant from a center.
• For the second blank, a circle's points are equidistant from its center.
• For the third blank, the radius is the distance from the center to any point on the circle.
• For the fourth blank, the diameter is the longest chord in a circle.
• For the fifth blank, dilation enlarges or reduces a figure while preserving shape.
• For the sixth blank, the ratio in dilation is the scale factor.
• For the seventh blank, translation aligns centers of two circles.
• For the eighth blank, dilation preserves the shape (uniform scaling).
• For the ninth blank, circles are similar as dilations preserve proportionality.

Answer:

A. circle
A circle is the set of all points equidistant from a center.
The distance from the center of a circle to any point on the circle is the radius.
The longest chord in a circle is the diameter.
A transformation that enlarges or reduces a figure while preserving its shape is a dilation.
The ratio used in a dilation is called the scale factor.
The transformation used to align the centers of two circles is a translation.
The uniform scaling of all points in a dilation ensures the shape remains unchanged.
All circles are classified as similar because dilations preserve proportionality.