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

A

yes

23
Q

perpendicular lines

A

two lines that intersect to from right angles

24
Q

parallel lines

A

coplanar lines that never intersect

25
Q

skew lines

A

non coplanar, non-intersecting lines

26
Q

transversal

A

a line that intersect two or more coplanar lines in different points

27
Q

alternate interior angles

A

two non adjacent interior angles on opposite sides of a transversal

28
Q

same side interior angles

A

two interior angles on the same side of a transversal

29
Q

corresponding angles

A

two angels in corresponding positions relative to the two lines

30
Q

scalene triangle

A

no congruent sides

31
Q

isosceles triangle

A

at least two congruent sides

32
Q

equilateral triangle

A

all sides congruent

33
Q

acute triangle

A

all acute angles

34
Q

right triangle

A

one right angle

35
Q

obtuse triangles

A

one obtuse angle

36
Q

equiangular triangle

A

all angles congruent

37
Q

regular polygon

A

both equilateral and equiangular

38
Q

Four ways to prove triangles are congruent

A

SSS SAS ASA AAS

39
Q

four ways to prove triangles are congruent with right angles

A

HL LL HA LA

40
Q

parallelgram

A

a quadrilateral with both pair of opposite sides parallel

41
Q

rectangle

A

a quadrilateral with four right angles

42
Q

rhombus

A

a quadrilateral with four congruent sides

43
Q

Trapezoid

A

a quadrilateral with exactly one pair of parallel sides

44
Q

isosceles trapezoid

A

trapezoid with congruent legs

45
Q

statment
converse
inverse
contrapostive

A

If p then q
If q then p
if not p then not q
If not q then not p

46
Q

How do you write an indirect proof

A

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
Q

ratio

A

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
Q

proportion

A

an equation that states two ratios are equal

49
Q

similar

A

corresponding angles are congruent and corresponding sides are in proportion

50
Q

four parts of the mathematical system

A

undefined terms, defined terms, postulates, and theorems

51
Q

definition of CPCTC

A

corresponding parts of congruent triangles are congruent

52
Q

five parts of a proof (proving things like parallel lines)

A

Given, find three congruent parts of the triangle, prove triangles are congruent (SAS, SSS….), CPCTC, use CPCTC to prove things like parallel lines.

53
Q

five parts of a proof

A

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