What is the definition of a locus in geometry?

The locus of a point is the path traced out by the moving point that satisfies given geometric conditions at each instant during its motion.

The locus of a point that is equidistant from a fixed point is a ___ with the fixed point as its center.

Circle

True or False: The locus of a point equidistant from two given points is the segment joining those points.

False: The locus is the perpendicular bisector of the line segment joining the two points.

What geometric figure forms the locus of a point that is equidistant from two intersecting lines?

The pair of lines that bisect the angles formed by the given lines.

Fill in the blank: Every point on the bisector of an angle is ___ from the arms of the angle.

Equidistant

What is the locus of the center of a wheel moving on a straight horizontal road?

A straight line parallel to the road at a distance equal to the radius of the wheel.

Riddle: I am a path that a moving point traces, defined by conditions that it embraces. What am I?

A locus.

How does the locus of a point that is at a given distance from a straight line appear?

It consists of a pair of straight lines parallel to the given line and at the given distance from it.

The locus of a point inside a circle that is equidistant from two points on the circle is the ___ that is perpendicular to the chord connecting those points.

Diameter

True or False: Every point lying on the perpendicular bisector of two points is equidistant from those points.

True

The locus of midpoints of all parallel chords of a circle is ___ to the chords and is located at the diameter of the circle.

Perpendicular

What shape is formed by the locus of points that are equidistant from two given concentric circles of radii r1 and r2?

A circle with radius (r1 + r2)/2

True or False: The locus of points that are equidistant from a given circle consists of a single circle concentric with the given circle.

False; the locus consists of a pair of circles concentric with the given circle.

If point A and point B are fixed, the locus of point P such that ∠APB = 90° is ___ with AB as its diameter.

A circle

Fill in the blank: The locus of the centers of circles touching a given line PQ at a point T is the straight line ___ to PQ at T.

Perpendicular

Riddle: I am a set of points that are all the same distance from a center, forming a perfect round shape. What am I?

A circle

What is the locus of points in a plane that are a fixed distance r from a specific point?

A circle with the fixed point as its center and radius r.

The locus of midpoints of all equal chords of a circle is a circle concentric with the original circle and has a radius equal to the distance of the equal chords from the center of the given circle. True or False?

True

What is the definition of the locus of a moving point in geometry?

The locus of a moving point is the path traced out by the point as it satisfies given geometric conditions at each instant during its motion.

The locus of a point that is equidistant from two given points is known as ___.

The perpendicular bisector of the line segment joining the two points.