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
Straight angle
Angles that are exactly 180 degrees
25
Congruent angles
Angles that have the same degree
26
Angle bisector
A ray that divides the angle directly in the center
27
Adjacent angles
Angles that share a side & vertex
28
Complementary angles
2 angles that add up to 90 degrees
29
Supplementary angles
2 angles that add up to 180 degrees
30
Linear pair
Adjacent angles who's non comon sides are opposite rays
31
Vertical angles
If their sides form 2 pairs of opposite Rays
32
Theorem to solve right triangles
Hypotenuse^2 = leg^2 + leg^2
33
Triangle inequality theorems
- the longest side is across from the biggest angle | - the sum of any 2 leg this is > 3rd side
34
Converse of the Pythagorean theorem
- 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
A line can be names using 3 points
Never
36
2 points are collinear
Always
37
If 2 lines intersect, their intersection is a point
Sometimes
38
If 2 different distinct lines intersect, their intersection is a point
Always
39
3 points are collinear
Sometimes
40
2 lines that do not intersect are skew
Sometimes
41
Points A, B, and C are coplanar
Always
42
2 planes can intersect in a point
Never
43
3 collinear points determine a plane
Never
44
Line EF intersects plane m at exactly 2 points
Never
45
Parallel lines are _____ | Skew lines are _____
Flat | Twisted
46
Distinct
Different