unit 1 Flashcards

geometry basics

1
Q

what is a point?

A

a point is a location in space

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2
Q

do points have thickness or width?

A

no, points do not have thickness or width

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3
Q

do you use capital or lower case letter for points?

A

always use capital letters for naming points
(ex: point A or A)

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4
Q

what is a line?

A

a line is made up of infinitely many points

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5
Q

how many points are needed to form a line?

A

any two points from a line

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5
Q

collinear points–

A

points that lie on that same line

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5
Q

do lines have thickness or width?

A

no, lines do not have thickness or width

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6
Q

how do you name a line?

A

name a line by any two points on the line, or a lowercase or italic letter.
(ex: line xy)

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7
Q

non-collinear points–

A

points that do not lie on the same line

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8
Q

how many points does it take for a point to be non-collinear?

A

must be at least three points

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9
Q

what is a plane?

A

a plane is a flat surface made up of points

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10
Q

how many points make up a plane?

A

any three points make up a plane (non-collinear)

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11
Q

can a plane stop?

A

no, a plane extends indefinitely in all directions

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12
Q

coplanar points–

A

points that line on the same plane

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13
Q

non-coplanar points–

A

points that do not lie on the same plane

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14
Q

at least how many points does it to be non-coplanar?

A

must be at least four points

15
Q

true or false: two lines intersect at a point

16
Q

true or false: two planes intersect at a line

17
Q

what is a midpoint?

A

the midpoint of a segment is a point that divides the segment into two congruent segments

18
Q

what is it called when line, ray, or segment that intersects a segment at its midpoint?

A

it is said to bisect the segment and is called the bisector of the segment

19
Q

what does it mean to partition?

A

to partition means to divide or seperate a line segment into smaller segments and compare their lengths as a ratio

20
Q

how are angles formed?

A

an angle is formed by two rays with a common endpoint, the vertex.

21
Q

what are the rays called of an angle?

A

the rays are called the sides

22
Q

how do you name an angle?

A

name an angle using three capital letters where the middle litter must always s represent the vertex

23
what if there is only one angle located at the vertex?
then you use a single letter
24
what letter to use when referring to the measure of an angle?
use a lowercase m
25
acute angles--
m > 90°
26
obtuse angles--
m > 90° and m < 180°
27
right angle--
m = 90°
28
straight angle--
m = 180°
29
what are angle bisectors?
a ray that divides an angle into two congruent angles
30
what are perpendicular lines?
two lines that intersect at a right angle
31
what is a perpendicular bisector?
a line, segment, or ray perpendicular to a segment at its midpoint
32
what are vertical angles?
two angles across from each other on intersecting lines. they are always congruent!
33
what are adjacent angles?
two angles that are next to each other and share a common side
34
what are complementary angles?
any two angles whose sum is 90°
35
what are supplementary angles?
any two angles whose sum is 180°