Honors Geometry Exam Flashcards

1
Q

Undefined terms

A

point, line and plain

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2
Q

Colinear points

A

all in one line

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3
Q

Coplanar points

A

all in one plain

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4
Q

segment

A

consists of the endpoints and all points in between

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5
Q

ray

A

consists of a segment and all points, beyond one endpoint

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6
Q

opposite rays

A

rays such that the endpoint is between other named points

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7
Q

know segment addition postulate

A
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8
Q

congruent

A

objects that have the same size and shape

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9
Q

midpoint of a segment

A

the point that divided the segment into two congruent segments

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10
Q

bisector of a segment

A

a line, segment, ray, or plane that intersects segment at its midpoint

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11
Q

angle

A

a afigure form by two rays that have the same endpoint

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12
Q

sides

A

the two rays that form the angle

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13
Q

vertex

A

common endpoint of rays that from angle

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14
Q

Actue

A

0-90

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15
Q

right

A

90

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16
Q

obtuse

A

90-180

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17
Q

straight

A

180

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18
Q

angle addition postulate

A
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19
Q

complementary angles

A

two angles whose measures have the sum 90. Each angle complements the other

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20
Q

supplementary angles

A

two angles whose measures have the sum of 180. Each angle supplements each other

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21
Q

vertical angles

A
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22
Q

are vertical angles congruent

23
Q

perpendicular lines

A

two lines that intersect to from right angles

24
Q

parallel lines

A

coplanar lines that never intersect

25
skew lines
non coplanar, non-intersecting lines
26
transversal
a line that intersect two or more coplanar lines in different points
27
alternate interior angles
two non adjacent interior angles on opposite sides of a transversal
28
same side interior angles
two interior angles on the same side of a transversal
29
corresponding angles
two angels in corresponding positions relative to the two lines
30
scalene triangle
no congruent sides
31
isosceles triangle
at least two congruent sides
32
equilateral triangle
all sides congruent
33
acute triangle
all acute angles
34
right triangle
one right angle
35
obtuse triangles
one obtuse angle
36
equiangular triangle
all angles congruent
37
regular polygon
both equilateral and equiangular
38
Four ways to prove triangles are congruent
SSS SAS ASA AAS
39
four ways to prove triangles are congruent with right angles
HL LL HA LA
40
parallelgram
a quadrilateral with both pair of opposite sides parallel
41
rectangle
a quadrilateral with four right angles
42
rhombus
a quadrilateral with four congruent sides
43
Trapezoid
a quadrilateral with exactly one pair of parallel sides
44
isosceles trapezoid
trapezoid with congruent legs
45
statment converse inverse contrapostive
If p then q If q then p if not p then not q If not q then not p
46
How do you write an indirect proof
Assume... the opposite of what you are trying to prove. Then... reason logically. But... reach a conclusion that contradicts the given. So... assumption is false and what we wanted to prove must be true.
47
ratio
the ratio of one number to another is the quotient of the the first divided by the second. a:b is read as a to b and is used to show a ratio
48
proportion
an equation that states two ratios are equal
49
similar
corresponding angles are congruent and corresponding sides are in proportion
50
four parts of the mathematical system
undefined terms, defined terms, postulates, and theorems
51
definition of CPCTC
corresponding parts of congruent triangles are congruent
52
five parts of a proof (proving things like parallel lines)
Given, find three congruent parts of the triangle, prove triangles are congruent (SAS, SSS....), CPCTC, use CPCTC to prove things like parallel lines.
53
five parts of a proof
statement of the theorem a diagram that illustrates the given info a list, in terms of the figure, of what is given a list, in terms of the figure, of what you are trying to prove a series of statements and reasons that lead from given info to that statement the is to be proved