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

A

true

16
Q

true or false: two planes intersect at a line

A

true

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
Q

what if there is only one angle located at the vertex?

A

then you use a single letter

24
Q

what letter to use when referring to the measure of an angle?

A

use a lowercase m

25
Q

acute angles–

A

m > 90°

26
Q

obtuse angles–

A

m > 90° and m < 180°

27
Q

right angle–

A

m = 90°

28
Q

straight angle–

A

m = 180°

29
Q

what are angle bisectors?

A

a ray that divides an angle into two congruent angles

30
Q

what are perpendicular lines?

A

two lines that intersect at a right angle

31
Q

what is a perpendicular bisector?

A

a line, segment, or ray perpendicular to a segment at its midpoint

32
Q

what are vertical angles?

A

two angles across from each other on intersecting lines. they are always congruent!

33
Q

what are adjacent angles?

A

two angles that are next to each other and share a common side

34
Q

what are complementary angles?

A

any two angles whose sum is 90°

35
Q

what are supplementary angles?

A

any two angles whose sum is 180°