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Honors Geometry > Unit 1- The Language Of Geometry > Flashcards

Unit 1- The Language Of Geometry Flashcards

0
Q

A line

A
  • Goes on forever in both directions

- Named with only 2 points on a line or a lower case letter

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1
Q

A point

A
  • Lies on a coordinate

- Named with a capital letter

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2
Q

A plane

A

-named with 3 points that are not all on the same line or 1 single capital letter with a plane by it

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3
Q

Line postulate

A

Through any 2 points is exactly 1 line

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4
Q

Plane postulate

A

Through any 3 points that are not on the same line, there is exactly 1 plane

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5
Q

Segment

A

A line with a definite starting point and stopping point

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6
Q

Ray

A

A line that has one definite point but the other goes on forever

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7
Q

Collinear points

A

Points that lie on the same line

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8
Q

Opposite rays

A

2 rays that have the same starting point but go on in opposite directions

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9
Q

Congruent segments

A

Line segments that are the same length

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10
Q

Midpoint

A

The middle of a line segment

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11
Q

Segment bisector

A

When 2 lines, line segments or Rays intersect directly in the center of the other

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12
Q

Coplanar points

A

Points that aren’t all on the same line

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13
Q

Intersection

A

2 or more geometric figures intersect if they have 1 or more points in common

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14
Q

Distance

A

The distance between points A&B is the absolute value of the difference between their coordinates

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15
Q

(In geometry),A rule that is accepted without proof is called a…

A

Postulate or axiom

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16
Q

If B is between A and C, then…

A

AB+BC=AC (lengths)

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17
Q

If AB+BC=AC, then…

A

B is between A&C

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18
Q

Lengths are _____

Segments are ____

A

Equal

Congruent

19
Q

Angle

A

Two Rays that are connected at the same point (vertex)

20
Q

Acute angle

A

Angle measuring 0-90 degrees

21
Q

Right angle

A

Angle that is exactly 90 degrees

22
Q

Perpendicular lines

A

Lines that intersect to make all right angles

23
Q

Obtuse angles

A

Angles that measure 90-180 degrees

24
Q

Straight angle

A

Angles that are exactly 180 degrees

25
Q

Congruent angles

A

Angles that have the same degree

26
Q

Angle bisector

A

A ray that divides the angle directly in the center

27
Q

Adjacent angles

A

Angles that share a side & vertex

28
Q

Complementary angles

A

2 angles that add up to 90 degrees

29
Q

Supplementary angles

A

2 angles that add up to 180 degrees

30
Q

Linear pair

A

Adjacent angles who’s non comon sides are opposite rays

31
Q

Vertical angles

A

If their sides form 2 pairs of opposite Rays

32
Q

Theorem to solve right triangles

A

Hypotenuse^2 = leg^2 + leg^2

33
Q

Triangle inequality theorems

A
  • the longest side is across from the biggest angle

- the sum of any 2 leg this is > 3rd side

34
Q

Converse of the Pythagorean theorem

A
  • if the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle
  • if c^2 = a^2 + b^2, then triangle ABC is a right triangle
35
Q

A line can be names using 3 points

A

Never

36
Q

2 points are collinear

A

Always

37
Q

If 2 lines intersect, their intersection is a point

A

Sometimes

38
Q

If 2 different distinct lines intersect, their intersection is a point

A

Always

39
Q

3 points are collinear

A

Sometimes

40
Q

2 lines that do not intersect are skew

A

Sometimes

41
Q

Points A, B, and C are coplanar

A

Always

42
Q

2 planes can intersect in a point

A

Never

43
Q

3 collinear points determine a plane

A

Never

44
Q

Line EF intersects plane m at exactly 2 points

A

Never

45
Q

Parallel lines are _____

Skew lines are _____

A

Flat

Twisted

46
Q

Distinct

A

Different

Honors Geometry (3 decks)

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