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20 Cards in this Set
- Front
- Back
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undefined terms |
the five primitive terms used as the basis for defining all other geometric terms in plane geometry: point, line, lie on, between, and congruent |
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angle |
an angle with vertex A is a point A together with two distinct non-opposite rays AB and AC emanating from A |
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between (for rays) |
Ray AD is between rays AC and AB if AB and AC are not opposite rays and D is interior to angle CAB. |
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cirlce |
given distinct points O and A; the set of all points P such that segment OP is congruent to segment OA is called the circle with O as center and OA as radius |
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collinear |
Three or more points, A, B,C... are collinear if there exists a line incident with all of them. |
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concurrent |
Three or more lines, l, m, n,... are concurrent if there exists a point incident with all of them |
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congruence |
triangles ABC and DEF are congruent if there exists a one-to-one correspondence between their vertices such that corresponding sides are congruent and corresponding angles are congruent |
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interior (of an angle) |
given an angle CAB, define a point D to be in the interior of angle CAB if D is on the same side of line AC as B and if D is also on the same side of line AB as C. Thus, the interior of an angle is the intersection of two half-planes |
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interior (of a triangle) |
the interior of a triangle is the intersection of the interiors of its three angles. A point is exterior to the triangle if it is not in the interior and does not lie on any side of the triangle |
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opposite rays |
Rays AB and AC are opposite if they are distinct, if they emanate from the same point A, and if they are part of the same line, line AB=line AC |
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opposite sides (of a line, for two points) |
let l be any line, and A and B any points that do not lie on l; if A doesn't= B and segment AB does intersect l, we say that A and B are on opposite sides of l. |
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parallel |
lines l and m are parallel if they are distinct lines and no point is incident with both of them |
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perpendicular |
lines l and m are perpendicular if they intersect at a point A and if there is a ray AB that is part of l and a ray AC that is part of m such that angle BAC is a right angle |
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ray |
The ray AB is the following set of points lying on the line AB: those points that belong to the segment AB and all points C on line AB such that B is between A and C. The ray AB is said to emanate from the vertex A and be part of line AB. |
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right angle |
An angle BAD is a right angle if it has a supplementary angle to which is it congruent |
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same side (of a line, for two points) |
let l be any line, and A and B any points that do not lie on l; if A=B or if segment AB contains no point lying on l, we say A and B are on the same side of l |
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segment |
given distinct points A and B; the segment AB is the set whose members are the points A and B and all points C that lie on line AB and are between A and B. The two given points A and B are called endpoints of the segment AB |
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supplementary angles |
If two angles DAB and CAD have a common side ray AD and the other tow sides ray AB and ray AC form opposite rays, the angles are supplements of each other, or supplementary angles |
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< (for segments) |
AB< CD (or CD>AB) means that there exits a point E between C and D such that AB is congruent to CE |
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< (for angles) |
Angle ABC < angle DEF means there is a ray EG between ray ED and ray EF such that angle ABC is congruent to angle GEF |
