Geometry Basics Flashcards

1
Q

adjacent angles

A

two coplanar angles with a common side, a common vertex, and no common interior points

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2
Q

angle

A

two rays with a common endpoint; named by its vertex

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3
Q

angle bisector

A

a ray (or segment of a ray) that divides an angle into two congruent angles

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4
Q

collinear points

A

points that lie on the same line

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5
Q

complementary angles

A

two angles whose measures have a sum of 90°

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6
Q

congruent angles

A
  • angles with the same measure

- on a figure this will be shown with arcs of the same kind

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7
Q

congruent segments

A
  • two segments which have the same length; symbol for congruence is ≅
  • on a figure this will be shown with hatch (tick) marks of the same kind
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8
Q

coplanar

A

points and lines that lie in the same plane

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9
Q

line

A
  • a straight path that extends in two opposite directions without end (arrows on both ends) and has no thickness
  • named by any two points on the line (with a small line above them)
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10
Q

linear pair

A
  • a pair of adjacent angles whose uncommon sides are opposite rays
  • forms a straight angle
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11
Q

midpoint

A

a point that divides a segment into two congruent segments

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12
Q

parallel lines

A
  • coplanar lines that do not intersect

- symbol is ||

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13
Q

perpendicular lines

A

lines that intersect at right angles; symbol is ⊥

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14
Q

plane

A
  • a flat surface that extends without end and has no thickness
  • contains infinitely many points and lines;
  • named by a capital letter (usually script) or by at least 3 points in the plane that do not all lie on the same line
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15
Q

point

A
  • indicates a location and has no size; represented by a dot

- named by a capital letter

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16
Q

postulate/axiom

A

an accepted statement of fact

17
Q

ray

A
  • part of a line that consists of one endpoint and all the points of the line on one side of the endpoint (arrow on one end)
  • named by its endpoint and another point on the ray (the first letter must be the endpoint) with a small ray above them
18
Q

segment

A
  • part of a line that consists of two endpoints and all points between them
  • named by its endpoints with a small segment above them
19
Q

skew

A

lines or segments that do not intersect but are also in different planes

20
Q

straight angle

A

measure is 180°

21
Q

supplementary angles

A

two angles whose measures have a sum of 180°

22
Q

vertex

A

the shared endpoint of the two rays that form an angle

23
Q

vertical angles

A
  • two angles whose sides are opposite rays
  • formed when two lines intersect at one point
  • congruent
24
Q

undefined terms

A

basic ideas that are used to build the definitions of all other figures in geometry (line, point, plane)