Question

Which defines a circle? a) two rays with a common endpoint. b) a piece of a line with two endpoints. c) a piece of a line with one endpoint. d) all coplanar points equidistant from a given point. Which is a property of an angle? a) has two sides that each extend forever in both directions. b) has two endpoints. c) has two center points. d) has two rays that share a common endpoint. Which is defined using the undefined terms point and line? a) angle b) circle c) parallel lines d) ray Which pair of undefined terms is used to define the term parallel lines? a) point and line b) plane and line c) point and ray d) ray and line The definition of a circle uses the undefined term _______. a) arc b) line c) plane d) ray Which undefined term is used to define an angle? a) line b) plane c) point d) ray The definition of an angle uses the undefined term ________. a) line b) plane c) point d) ray

Answer 1

A circle is all coplanar points equidistant from a given point. An angle has two rays sharing a common endpoint, using the point and line undefined terms. The undefined term 'line' is used to define a circle and the term 'ray' for an angle.

Step-by-step explanation:

A circle is defined as all coplanar points equidistant from a given point. A property of an angle is that it has two rays that share a common endpoint. These rays originate at a common point forming an angle. It uses the undefined terms point and line to define it.

The term parallel lines is defined by a pair of undefined terms - point and line. The term 'undefined term' in Geometry refers to basic ideas that are used to define other words. These terms are generally agreed upon to have no formal definition, but there is an agreement about what they mean. The word 'ray' here means a straight line that originates at some point.

The definition of a circle uses line as an undefined term. Notably, the foci of a circle are situated at the same point, usually located at the circumference of the circle. Lastly, an angle is defined using the undefined term ray.

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