Chapter 1 Flashcards

(53 cards)

1
Q

what is a segment?

A

a part of a line with two endpoints.

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2
Q

what is a ray?

A

one endpoint that extends in one direction.

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3
Q

what are opposite rays?

A

two rays that go in opposite directions and have the same endpoint.

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4
Q

what does collinear mean?

A

points are on the same line

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5
Q

what does coplanar mean?

A

points are on the same plane.

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6
Q

what is an intersection?

A

two or more geometric figures have on or more points in common.

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7
Q

what is a postulate?

A

a rule that is accepted w/o proof

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8
Q

what is a theorem?

A

a rule that can be proven true

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9
Q

what is postulate 1.1?

A

ruler postulate

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10
Q

what does the ruler postulate say?

A

we can measure segments.

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11
Q

what does congruent mean?

A

same measurements.

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12
Q

what can you say when three points are collinear?

A

one point is between the other two.

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13
Q

what is postulate 1.2?

A

segment addition postulate

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14
Q

what does the segment addition postulate say?

A

if B is between A and C, then AB + BC = AC

if AB + BC = AC, then B is between A and C.

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15
Q

What is the distance formula?

A

d = \sqrt{(x2 - x1)2 + (y2-y1)2}

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16
Q

what is a midpoint?

A

the point that divides a segment into congruent segments.

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17
Q

what is a segment bisector?

A

a point, line, line segment, or plane that intersects the segment of its midpoint.

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18
Q

what does identifying something means?

A

to label it

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19
Q

what is the midpoint formula?

A

(x1+x2/2, y1+y2/2)

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20
Q

what is an angle?

A

two different rays w/ the same endpoint

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21
Q

what is the vertex of the angle?

A

the endpoint of the angle

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22
Q

where must the vertex be when labeling an angle?

23
Q

what is postulate 1.3

A

protractor postulate

24
Q

what does the protractor postulate say?

A

you can measure angles in degrees.

25
what are acute angles?
angles between 0 to 90
26
what are obtuse angles?
angles between 90 and 180
27
what are right angles?
any angle exactly 90
28
what are straight angles?
any angle exactly 180
29
what is postulate 1.4?
angle addition postulate
30
what does the angle addition postulate say?
if P is in the interior of angle
31
what is an angle bisector?
a ray that divides an angle into two congruent parts.
32
what are adjacent angles?
two angles that share a vertex and a common side.
33
what are complementary angles?
two angles that add up to 90
34
what are supplementary angles?
two angles that add up to 180
35
what is a linear pair?
two adjacent angles that are on the same line
36
what is always true about linear pair angles?
they are always supplementary.
37
what are vertical angles?
when two sides of two angles form two pairs of opposite rays.
38
two things to remember about vertical angles?
1. they are always congruent. | 2. they must be formed by two lines
39
what is a polygon?
a 2D closed shape with three or more sides.
40
what is a convex polygon?
the sides do not extend into the shape
41
what is a concave polygon?
the sides extend into the shape
42
how many sides are a triangle?
3 sides
43
how many sides are a quadrilateral?
4 sides
44
how many sides are a pentagon?
5 sides
45
how many sides are a hexagon?
6 sides
46
how many sides are a heptagon?
7 sides
47
how many sides are an octagon?
8 sides
48
how many sides are a nonagon?
9 sides
49
how many sides are a decagon
10 sides
50
how many sides are a dodecagon
12 sides
51
area formula for triangles
a = 1/2bh
52
area formula for rectangles
a = bh
53
area formula for squares
a = s2