Brainscape's Knowledge GenomeTM


Top Flashcards (Certified)
All Flashcards

Bryx_Math > Plane Geometry > Flashcards

Plane Geometry Flashcards

(94 cards)

Start Studying
1
Q

Book of Euclid which given emphasis on Plane Geometry

A

Elements

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Branch of Geometry that deals with plane figure or geometrical shapes of two dimensions

A

Plane Geometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Branch of Geometry deals with properties of geometrical shapes of three dimensions such as cones, pyramids, cylinders

A

Solid Geometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Branch of Geometry based on the assumptions of Euclid

A

Euclidean Geometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Branch of Geometry that is not based on the assumption of Euclid

A

Non-Euclidean Geometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Branch of Geometry that deals with the study of those properties of plane figures that are unchanged when given set of points is projected onto a second plane

A

Projective Geometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Branch of Geometry which specializes on the study of triangle

A

Trigonometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Branch of Geometry that deals with geometric problems by using the coordinate systems and transforming them into algebraic problems

A

Analytic Geometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Branch of Geometry that applies differential and integral calculus to curves, surfaces and other geometric entities

A

Differential Geometry

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

What are the 5 basic postulate of Euclid?

A
  1. A unique line can be drawn between any two points
  2. Such line can be extended indefinitely in either direction
  3. A circle can be drawn in a plane using a given point (a center) and a given distance(a radius)
  4. All right angles are equal
  5. Given a line and a point not on the line, there exist exactly one line parallel to the original line passing through the given point (aka parallel postulate)
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

A dimensionless geometric figure having no properties other than location or place

A

Point

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

The shortest distance between any two points.

A

Line

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

The opening between two lines or planes that meet

A

Angle

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

What is a straight angle?

A

Equal to 180 degrees or (pi) radians

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What is a reflex angle?

A

Greater than 180 degrees but less than 360 degrees

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is a Full angle or Perigon?

A

Equal to 360 degrees or 2*pi radians

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Two angles with a common leg

A

Adjacent angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Two angles where the sum is a right angle

A

Complementary Angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Two angles where the sum is a straight angle (180degrees)

A

Supplementary angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Two angles whose sum is a perigon

A

Explementary angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Angles formed by two intersecting lines

A

Vertical Angles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

It is a unit of angle based on sexagesimal system

A

Degree

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

Standard angular measure in international system of units

A

Radian

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

It is a measure ofan angle which is 1/6400 of the full circle

A

Mil

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
1 Revolution in terms of Gon
400
26
1 Revolution in terms of Mil
6400
27
Number of sides of regular Hectagon
100
28
Number of sides of a regular Megagon
10^6
29
Number of sides of a regular googolgon
100^100
30
How many sides does Undecagon have?
11
31
How many sides of Dodecagon
12
32
It is the inward pointing angle of the concave polygon
Reentrant angle
33
Other angles of a concave polygon except the Reentrant angle
Salient Angle
34
it is the line connecting two opposite vertices
diagonal
35
Number of diagonals formula
No. of Diagonals=(n/2)*(n-3) | where n=number of sides
36
formula of sum of interior angles
(n-2)*180degrees
37
It is the angle subtended by the prolongation of one side to the next
deflection angle
38
The sum of all deflection angle equals to?
360 degrees
39
A triangle where all sides are equal
Equilateral Triangle
40
A triangle where two sides are equal
Isosceles Triangle
41
A triangle where no two sides are equal
Scalene Triangle
42
Each interior angle is less than a right angle
Acute triangle
43
One angle is a right angle
Right triangle
44
One angle is greater than right angle
Obtuse triangle
45
A triangle which is not a right triangle is called what?
Oblique Triangle
46
A triangle with 3,4,5 units
Egyptian Triangle
47
A triangle inscribed in a given triangle whose vertices are the feet of the three perpendicular to the sides from some points inside a given Triangle
Pedal Triangle
48
An isosceles triangle with sides is to its base in the golden ratio; its angles are 72,72 and 36 degrees
Golden Triangle
49
What is a rhombus?
A type of quadrilateral with all sides are equal but no angle equal to right angle
50
What is a parallelogram?
Both pairs of opposite sides are parallel.
51
What is another term for a parallelogram?
Rhomboid
52
A quadrilateral wherein only two sides are parallel
Trapezoid
53
A quadrilateral where no two sides are parallel
Trapezium
54
What is a Kite quadrilateral?
A convex quadrilateral whose adjacent sides are equal in pair
55
What is a deltoid quadrilateral?
A concave quadrilateral whose adjacent sides are equal in pair
56
It is a quadrilateral whose vertices lie on a circle
Cyclic quadrilateral
57
Area of a rhombus
A=bh where b=base h=height
58
Area of rhombus given two diagonals
A=(1/2)d1*d2
59
Are of rhombus given a side and included angle
A=a^2(sin(theta))
60
Area of parallelogram given base and altitude
A=bh
61
Area of parallelogram given two diagonals and included angle
A=(1/2)d1*d2*sin(theta)
62
Area of parallelogram given two sides and an interior angle
A=ab*sin(theta)
63
Area of a trapezoid
A=1/2(B+b)*h where B=length of upper base b=length of lower base h=height
64
Area of a Trapezium (General Quadrilateral)
A=1/2*(d1*d2)*sin(theta) | where d1 and d2 are the lengths of diagonal
65
Area of a general quadrilateral given four sides and opposite angles
A=sqrt((s-a)*(s-b)*(s-c)*(s-d)-abcd*(cos^2(theta))) theta=(A+C)/2 or (B+D)/2 s=(a+b+c+d)/2
66
Area of a cyclic quadrilateral
A=sqrt((s-a)*(s-b)*(s-c)*(s-d)) | A=sqrt((s-a)*(s-b)*(s-c)*(s-d
67
radius of the circle circumscribing the quadrilateral Formula
r=(sqrt((ab+cd)*(ac+bd)*(ad+bc)))/(4A)
68
Area of quadrilateral circumscribing a circle
A=rs=sqrt(abcd) | where s=(a+b+c+d)/2
69
Area of a regular polygon
A=(1/4)*(na^2)cot(180/n) where a=length of side n=number of sides
70
Perimeter of a regular polygon
P=na where a=length of side n=number of sides
71
Area of a regular polygon circumscribing a circle
A=nr^2tan(180/n)
72
Perimeter of a regular polygon circumscribing a circle
P=2nr*tan(180/n)
73
Area of a regular polygon inscribed in a circle
A=(1/2)*nr^2sin(360/n)
74
Perimeter of a regular polygon inscribed in a circle
P=2nr*sin(180/n)
75
It is the length of a circle between two points on the circle
Arc
76
a line touching the circle at one point. It is also perpendicular to the radius of the circle
Tangent
77
A line cutting the circle in two place
Secant of a circle
78
It is the longest chord of a circle that passes through the center
Diameter
79
Distance from the center to the circle
radius
80
the segment of a secant bounded by the circle
Chord
81
Area bounded by two radii and the included arc
Sector of a circle
82
Area bounded by a chord and the arc subtending the chord
Segment
83
An angle whose vertex is at the center of a circle and whose sides are the radii
Central Angle
84
An angle whose vertex is along the periphery or circumference and its sides are the chords
Angle subtended by the chord
85
Are of sector of a circle
``` A=(1/2)*(rc) A=(1/2)*(r^2*theta) r=radius c=arc length theta=central angle ```
86
Area of segment of a circle
A=A(sector)-A(triangle AOB)
87
If a central angle and a peripheral angle are subtended by the same arc, then the central angle is ________ as large as the peripheral angle
Twice
88
What is the relationship of the inscribed angles subtending the same arc?
Equal
89
Inscribed angles subtended by the diameter of a circle are ______ angles
right angles (90 degrees)
90
What is the chord theorem formula?
ab=cd
91
What is the secant theorem formula?
a(a+b)=c(c+d)
92
What is Secant-Tangent theorem formula?
t^2=a*(a+b)
93
Area of an ellipse formula
A=pi*ab
94
it is a general term for all angles that lie on a plane surface
plane angle

Bryx_Math (9 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions