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the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter.

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the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

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in Euclidean geometry, an arc is a connected subset of a differentiable curve

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The center of a circle is the point equidistant from the points on the edge

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A circle is all points in the same plane that lie at an equal distance from a center point. The circle is only composed of the points on the border

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two angles are called complementary when their measures add to 90 degrees.

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either of two angles whose sum is 180°.

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A reflex angle measures more than 180 degrees but less than 360 degrees.

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an angle of 180°.

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an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

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An acute angle is an angle that measures between 90° and 0°, meaning it is smaller than a right angle (an “L” shape) but has at least some space between the two lines that form it.

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An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees

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(of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them.

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A segment bisector is a geometric figure that divides the line segment exactly in half.

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If three pairs of sides of two triangles are equal in length, then the triangles are congruent.

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a set of which all the elements are contained in another set.

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a straight line from the center to the circumference of a circle or sphere.

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each of the pairs of opposite angles made by two intersecting lines.

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(of an angle) less than 90°.

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a straight line that has been rotated around a point on another line to form an angle

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The ray where measurement of an angle starts

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each angular point of a polygon, polyhedron, or other figure.

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an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.

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the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.

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a straight or curved continuous extent of length without breadth.

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a flat surface on which a straight line joining any two points on it would wholly lie.

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the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints

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two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

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an equilateral triangle is a triangle in which all three sides have the same length

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the middle point of a circle or sphere, equidistant from every point on the circumference or surface

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the property of being perpendicular is the relationship between two lines which meet at a right angle

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a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

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any of a set of straight lines passing through one point.

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(of points) lying in the same straight line.

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an assumption used as a basis for mathematical reasoning

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a statement or proposition on which an abstractly defined structure is based

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the measurement or extent of something from end to end, the greater of two or the greatest of three dimensions of a body.

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a decimal point, or something having position but not spatial extent, magnitude, dimension, or direction, for example the intersection of 2 lines