MESL (YELLOW BOOK 3) Flashcards
1
Q
An annulus is a plane figure which is composed of two concentric circles. The area of the annulus can be calculated by getting the difference between the area of the larger circle and the area of the smaller circle. Also, its area can be calculated by removing the hole. This method is called:
A
Law Of Extremities
2
Q
Each of the faces of a regular hexahedron is a:
A
Square
3
Q
It is a polyhedron of which two faces are equal polygons in parallel planes and the other faces are parallelograms.
A
Prism
4
Q
The apothem of a polygon is _____ of its inscribed circle
A
Radius
5
Q
Each angle of regular dodecagon is equal to:
A
150
6
Q
The area bounded by two concentric circles is called:
A
Annulus
7
Q
One fourth of a great circle is called:
A
Quadrant
8
Q
Points that lie on the same plane are called:
A
Coplanar
9
Q
The volume of a circular cylinder is equal to the product of its base and altitude.
A
Theorem
10
Q
The study of properties of figures in three dimensions.
A
Solid Geometry
11
Q
A plane closed curve, all points of which are the same distance from a point within, called center
A
Circle
12
Q
What is the angle of pi and less than 2pi
A
Oblique Angle
13
Q
What is the value in degrees of 1 radian?
A
57.3
14
Q
Prisms are named according to their ___.
A
Bases
15
Q
In plane geometry, two circular arcs that together make up a full circle are called:
A
Conjugate Arcs
16
Q
Polygons are classified according to the number of _____.
A
Sides
17
Q
When two planes intersect with each other the amount of divergence between the two planes is expressed by the
A
Dihedral Angle
18
Q
An angular unit equivalent to 1/4000 of the circumference of a circle is called
A
Grad
19
Q
Express 45° in mils.
A
800
20
Q
The arc length equal to the radius of the circle is called
A
Radian
21
Q
A five-pointed star is also known as:
A
Pentagram
22
Q
If two or more lines have a single point which lies on all of them, then they are:
A
Concurrent
23
Q
The action of bringing one geometric figure into coincidence with another is called:
A
Superposition
24
Q
A line intersect two or more lines at distinct points
A
Transversal
25
An arc length equal to the radius of circle
Radian
26
An angle which is 1/400th of the full revolution
Gon
27
Another term for Gon.
Grad and Centesimal degree
28
An angle whose vertex is a point on the circle and whose sides are chords is known as:
Inscribed Angle
29
An angle greater than the right angle but less than a straight angle.
Obtuse Angle
30
Any angle greater than a straight angle but less than two straight angles is known as ___ angle.
Reflex
31
The angle formed by the prolongation of one side and the adjacent side of the polygon.
Exterior Angle
32
Two angles which have the same vertex and the sides of one are form by extending the sides one is form by extending the sides of other.
Vertical Angles
33
Another term for exterior angle
Deflection angle
34
What is the sum of all deflection angles in given polygon?
Always equal to 360°
35
The coterminal angle of 120° is:
-240°
36
Two planes intersect each other. What is the term for the angle formed perpendicular to the intersection of two planes?
Dihedral Angle
37
When a terminal side of an angle coincides with an axis, the angle is a:
Quadrantal Angle
38
If the exterior angle of a polygon is obtuse, its corresponding interior angle is:
An Acute Angle
39
The measure of 2.25 revolutions counterclockwise is:
810°
40
Solid angles are measured in:
Steradians
41
What is the largest measure (in steradians) of a solid angle:
4 pi
42
Steradians measure in space in analog of ___ measured in the plane.
Radians
43
A part of a circle is called:
Arc
44
It is a union of the chord of a circle and the intercepted arc.
Segment
45
A ___ of a circle in the figure bounded by two radii and the intercepted arc.
Sector
46
The apothem of a polygon is the ___ of its inscribed circle.
Radius
47
As the area of the circle increases, the ratio of its circumference to its diameter.
Remains Constant
48
A circle is said to be ___ to a polygon having the same perimeter with that of the circle
Isoperimetric
49
Which of the following is NOT a property of a circle?
-Through 3 points not in a straight line, only one circle can be drawn
-A tangent to a circle is perpendicular to the radius at the point of tangency and conversely
-An inscribed angle is measured by one half of the intercepted arc.
-The arcs of two circles subtended by equal central angles are always equal.
The arcs of two circles subtended by equal central angles are always equal.
50
All circles having the same center but of unequal radii are called:
Concentric Circles
51
Two chords of a circle which joins a point on the circle to the end points of a diameter and forms a right-angle
SUPPLEMENTARY CHORDS
52
The center of the inscribed circle of a triangle is known as ______ of the triangle
INCENTER
53
Supplementary chords are two chords which join a point on the circle to the end points of a diameter. The supplemental chords subtend a/an ______ angle.
RIGHT
54
A circle or radius R has a curvature of
1/R
55
A polygon is ______ when no side, when extended, will pass through the interior of the polygon.
CONVEX
56
A polygon is said to be a regular polygon if it is
CONVEX, ALL SIDES ARE CONGRUENT , ALL ANGLES ARE CONCRUENT
57
Polygon inscribed in the same circle called.
CONCYCLIC polygons
58
If n is the number of sides of a polygon, then the sum of all interior angles of a polygon is expressed as
(N-2)/180
59
If n is the number of sides of a polygon, then the number of diagonals of a polygon is expressed as:
(N/2)(N-3)
60
What do you call a polygon with 11 sides?
UNDECAGON
61
Pentagon is to 5 sides as _______ is to 11 sides.
HENDECAGON
62
A polygon having 12 sides is called:
DODECAGON
63
A polygon of 100 sides is called
CHILLIAGON
64
The highest point of figure relative to a baseline or plane is called:
SUMMIT
65
Indicate the FALSE statement
-a trapezoid is a quadrilateral two and only two of whose sides are parallel
-the sum of the two sided of a triangle is greater than the third side and their difference is less than the third side
-a diagonal of a polygon is a line joining any non-consecutive vertices.
-TWO ANGLES ARE COMPLEMENTARY THEIR SUM IS EQUAL TO 180
TWO ANGLES ARE COMPLEMENTARY THEIR SUM IS EQUAL TO 180
66
Which of the following statements is correct?
All right – angled triangles are similar
All isosceles triangles are similar.
ALL EQUILATERAL TRIANGLES ARE SIMILAR
All rectangles are similar
ALL EQUILATERAL TRIANGLES ARE SIMILAR
67
A quadrilateral with no sides parallel.
TRAPEZIUM
68
Which of the following best describes Ptolemy’s theorem?
It is use only for quadrilaterals
It is just a modification of Brahmagupta’s theorem
IT IS USED ONLY FOR CYCLIC QUADRILATERALS
The sum of the square of the sides is equal to the square of the diagonals of a given quadrilateral
IT IS USED ONLY FOR CYCLIC QUADRILATERALS
69
The five pointed star described by the diagonals of a regular pentagon
PENTEGRAM OR PENACLE
70
The geometric figure remaining after a parallelogram has been removed from one corner of a larger similar polygon.
GNOMON
71
A oblique-angled parallelogram with four sides equal is called .
RHOMBUS, DIAMOND, LOZENGE ALL OF THE ABOVE
72
A non convex quadrilateral with two pairs of adjacent equal sides is called
DELTROID
73
What is another term for a parallelogram?
RHOMBOID
74
Prisms are classified according to their:
BASES
75
A solid cut of a given solid by two non-parallel planes is called:
TRUNCATED PRISM
76
A polyhedron having bases two polygons in parallel planes and for lateral faces triangles or trapezoids with one side lying on the other base of the polyhedron.
Prismatoid
77
Portion of regular solid left after cutting off the upper part by a plane parallel to the base.
Frustum
78
Body or space bounded by surface every point of which is equidistant from a point within.
Sphere
79
A solid bounded by a zone and the planes of the zone’s base.
Spherical Segment
80
The intersection of the sphere and the plan through the center is called:
Great Circle
81
The portion of a sphere enclosed between two great semi-circles having common end points, including the semi-circle.
Lune
82
A portion of the surface of a sphere included between two parallel planes.
Zone
83
If R is the radius of the sphere and h is the distance between two parallel plane, the area of the zone is:
2πRh
84
The solid bounded by two great circles and the surface of a sphere is known as:
Spherical wedge
85
A cone or cylinder with its top cut off by plane oblique to the base.
Ungula
86
A term given to cylinder with elliptical cross-section.
Cylindroid
87
A doughnut-like surface of revolution generated by rotating the circle through 360° in space about a line in its plane but now passing through the circle.
Torus
88
A regular solid star in a shape that is radiating from center like rays of star.
Stellated Solid
89
Formed by intersection of rays from one point reflected of refracted from a curvature.
Caustic
90
The regular polyhedron is a solid with all its faces identical regular polygons. The regular polyhedrons are also known as:
Platonic Solids
91
There are how many regular polyhedral known to man?
5
92
An icosahedron is a regular polyhedron of ________ faces.
20
93
A regular polyhedron with 6 sides is called:
Hexahedron
94
The face of a regular tetrahedron is a:
Triangle
95
The face of a regular octahedron is a:
Triangle
96
The face of a regular dodecahedron is a:
Pentagon
97
The face of a regular icosahedron is a:
Triangle
98
Which regular polyhedron does not have a face a triangle?
Dodecahedron
99
How many edges are there in a dodecagon?
30
100
A tetrahedron has ______ vertices
4
