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MATH 2822 > Test 1 > Flashcards

Test 1 Flashcards

1
Q

Right Triangle

A

Three sided figure with one right angle

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2
Q

Acute Triangle

A

Three sided figure with all angles less than a right angle

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3
Q

Obtuse Triangle

A

Three sided figure with one angle larger than a right angle

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4
Q

Isosceles Triangle

A

Three sided figure with at least two equal sides

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5
Q

Equilateral Triangle

A

Three sided figure with three equal sides

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6
Q

Equiangular Triangle

A

Three Sided figure with three equal angles

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7
Q

Scalene Triangle

A

Three sided figure with no two sides equal

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8
Q

Square

A

Four sided figure with four congruent sides, and four right angles

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9
Q

Rectangle

A

Four sided figure with four right angles

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10
Q

Rhombus

A

Four sided figure with four congruent sides

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11
Q

Parallelogram

A

Four sided figure with two sets of parallel sides

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12
Q

Kite

A

Four sided figure with two sets of congruent adjacent sides

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13
Q

Trapezoid

A

Four sided figure with exactly one set of parallel sides

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14
Q

Definition

A

A description of a shape or situation that is accepted as true by an authoritative body of people

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15
Q

Pi

A

circumference/diameter

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16
Q

If 2 things are equal to a third

A

then those 2 things are equal

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17
Q

If equals are added to equals

A

then the sums are equal

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18
Q

If equals are subtracted from equals

A

then the differences are equal

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19
Q

If 2 things coincide with one another

A

then they are equal

20
Q

If there are 2 points (Postulate 1)

A

then there is a line segment between those 2 points

21
Q

If there is a line segment

A

then it can be extended

22
Q

If there are 2 points (Postulate 3)

A

then there is a circle centered at one point going through the other point

23
Q

If there are 2 right angles

A

then they are congruent

24
Q

Axiom 5

A

Whole is greater than any of its parts

25
Q

Construct an equilateral triangle

A
26
Q

Construct a kite

A
27
Q

Construct a rhombus

A
28
Q

Construct an isosceles triangle

A
29
Q

Construct a rectangle

A
30
Q

Construct a square

A
31
Q

Duplicate an angle

A
32
Q

Axiom

A

mathematical statement accepted as true which CANNOT be proven

33
Q

Postulate

A

geometrical statement accepted as true which CANNOT be proven

34
Q

Property

A

mathematical statement about a shape or relationship that can be or has been proved to be true … and cannot be part or easily derivable from the definition.

35
Q

Rotational Symmetry

2 requirements

Give an example

A

when an object is rotated on its own axis and looks the same after a rotation

center point and angle

a circle

36
Q

Reflective Symmetry

2 requirements

Give an example

A

when a figure has a line of symmetry indicating that both halves look exactly the same

line of reflection

the capital letter A

37
Q

Concrete Teaching/Learning

A

students manipulate 3D objects

38
Q

Axiomatic Geometry

A

theorems are proved using definitions, axioms, postulates, and previously proven theorems by means of accepted rules of logic

39
Q

Differences between definition and property

A

difference: the definition has been accepted as true, whereas, property must be proven to be true

similarity: both statements are true

40
Q

chord

A

line segment who’s points are on a circle

41
Q

List 4 aspects of geometry in the world

A

sports, the game of pool, music, nature, and architecture

42
Q

Van Hiele Level 0

A

Recognition

students don’t know shapes and definitions, cannot distinguish between relevant and irrelevant attributes

kids basically recognize for what they know it to be

43
Q

Van Hiele Level 1

A

Analysis

student focuses analytically on components parts and their attributes

they begin to explore properties, might not believe they belong to several classes

44
Q

Van Hiele Level 2

A

Relationships

student begins to understand relationships among figures

become better communicators and begin to think abstractly

45
Q

Van Hiele Level 3

A

Deduction

student can study geometry as a formal mathematical system and write formal proofs of theorems

abstract thinking (work is done mentally)

MATH 2822 (6 decks)

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