| The intersection of to lines is a ... |
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point
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| angle |
A figure formed by two rays with a common endpoint.
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| collinear |
Points lying on the same line.
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| coplanar |
Points lying on the same plane.
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| intersect |
Two or more points in common.
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| line |
An undefined term in geometry, understood to be perfectly straight, has no thickness, contain and infinite amount of points, and extend infinitely in both directions. s.
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| plane |
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An undefined term in geometry, which is understood to be a flat surface that extends infinitely in all directions.
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| point |
An undefined term in geometry, that can be thought of as a dot that represents a location in space that has no size.
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| postulate |
| A statement that is accepted as true without proof. |
| ray |
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A part of a line that starts at a point and extends infinitely in one direction.
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| segment |
A part of a line that begins at one point and ends that another.
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| vertex of an angle |
The point in common of the two rays that form an angle.
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| The intersection of two planes is a ... |
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line.
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| Through any two points there is one and only ... |
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line . |
| Through any three noncollinear points there is one and only one... |
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plane.
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| If there are two points in a plane, then the line containing them is in the ... |
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plane.
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| congruent |
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The relationship between figures having the same size and shape.
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| length |
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The distance from one endpoint to another. abs val ( a - b ) or abs val ( b - a ) |
| Segment Congruence Postulate |
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If two segments have the same length as measured by a fair ruler, then the segments are congruent. Also, if two segments are congruent, then they have the same length as measured by a fair ruler. |
| Segment Addition Postulate (line including points PQR) |
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If point Q is between points P and R on a line, then PQ + QR = PR
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.| acute angle |
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An angle whose measure is less than 90 degrees.
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| complementary angles |
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Two angles whose measure has a sum of 90 degrees.
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| linear pair of angles |
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These angles are created when two lines intersect. The measure of the line is 180 degrees, so the angles must also sum 180 degrees.
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| obtuse angle |
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An angle whose measure is greater than 90 degrees.
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| right angle |
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An angle whose measure is 90 degrees.
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| supplementary angles |
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Two angles whose sum has a measure of 180 degrees.
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| Angle Addition Postulate |
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Angle Addition Postulate states that if a point S lies in the interior of ∠PQR, then ∠PQS + ∠SQR = ∠PQR.
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| Angle Congruence Postulate |
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If angles have the same measure, then they are congruent. If two angles are congruent, then they have the same measure.
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| Linear Pair Property |
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If two angles form a linear pair, then they are supplementary.
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| angle bisector |
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A ray that divides an angle into two congruent angles.
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| center of rotation |
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The point at which an image rotates around.
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| circumcenter |
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The center of a circumscribed circle; the point which the three perpendicular bisectors of the sides of a triangle intersect.
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| circumscribed circle |
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A circule that is drawn around the outside a triagle and contains all three vertices.
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| concurrent |
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Literally, "running together"; of three or more lines, intersecting at a single point.
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| conjecture |
| A statement that is believed to be true. |
| endpoint |
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A point at an end of a segment or the starting point of a ray.
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| incenter |
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The center of an inscribed circle; the point where the three angle bisectors of a triangle intersect.
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| inscribed circle |
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Is a circle inside a triangle that touches each side of the triangle at one point.
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| midpoint of a segment |
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The point that divides a segment into two congruent segments.
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| parallel lines |
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Coplanar lines that never intersect.
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| perpendicular bisector |
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A line that is perpendicular to a segment at its midpoint.
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| perpendicular lines |
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Lines that intersect to form right angles.
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| preimage |
| A shape that undergoes a motion or a transformation. |
| reflection |
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A transformation that creates a mirror image.
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| rotation |
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A transformation where the image is rotated around a single point.
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| translation |
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A transformation in which every point on the image moves/slides the same direction.
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| rigid transformation |
| A transformation that does not change the shape or size of a figure. |