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Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?
That set of points forms what is known as a "circle".
How do you place four points equidistant from each other?
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
What is the cord that passes through the center of the circle?
the cord that passes through the center of the circle is known as the diameter, the whole circle on the out side is known as the circumference, the dot in the middle is known as the center and the radius is the line what goes half way through the circle from the diameter.
In addition to the distance between the two points what other fact must be known to determine the average slope between the two points?
change in elevlation
Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?
That set of points forms what is known as a "circle".
Which geometric object is defined as the set if all points in a plane at a given distance at a given point?
A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.
How do you place four points equidistant from each other?
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
What is the round model of earth?
The round model of the Earth is known as a sphere. It is a three-dimensional shape where all points on the surface are equidistant from the center, giving it a circular appearance in all directions. The spherical shape of the Earth is a fundamental concept in geography and astronomy.
What are the special features about a circle?
A circle is defined by its constant distance from a central point, known as the radius, which remains the same at all angles. Its unique properties include having a circumference that can be calculated using the formula (C = 2\pi r) and an area given by (A = \pi r^2). Additionally, all points on the circle are equidistant from the center, and it exhibits rotational symmetry, meaning it looks the same from any angle of rotation around the center.
What is a circle classified as?
A circle is classified as a two-dimensional geometric shape that is defined as the set of all points in a plane that are equidistant from a fixed point called the center. It is a type of conic section with a constant radius. The distance from the center to any point on the circle is known as the radius, and the longest distance across the circle, passing through the center, is called the diameter.
What is equidistant from the three sides of the triangle?
It is the point known as the incentre.
Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
What is a point from where the points on the circle are of equal distances?
That point is known as the "center of the circle". Every circle has one.
What are two nonmoving objects that are useful reference points?
Two nonmoving objects that are useful reference points are a stationary pole or a fixed building. These objects can serve as points of comparison or markers to determine direction, distance, or positioning.
What way does the constellation Archer point?
The constellation Archer, also known as Sagittarius, points toward the center of the Milky Way galaxy. It is located in the southern hemisphere and is known for its teapot shape formed by its brightest stars.
What line causes the stem direction to change?
The middle line of the staff in sheet music is known as the "center line". When notes are placed on or above this line, the stem points down. When notes are placed below the center line, the stem points up.
