MESL (YELLOW BOOK 3) Flashcards
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:
Law Of Extremities
Each of the faces of a regular hexahedron is a:
Square
It is a polyhedron of which two faces are equal polygons in parallel planes and the other faces are parallelograms.
Prism
The apothem of a polygon is _____ of its inscribed circle
Radius
Each angle of regular dodecagon is equal to:
150
The area bounded by two concentric circles is called:
Annulus
One fourth of a great circle is called:
Quadrant
Points that lie on the same plane are called:
Coplanar
The volume of a circular cylinder is equal to the product of its base and altitude.
Theorem
The study of properties of figures in three dimensions.
Solid Geometry
A plane closed curve, all points of which are the same distance from a point within, called center
Circle
What is the angle of pi and less than 2pi
Oblique Angle
What is the value in degrees of 1 radian?
57.3
Prisms are named according to their ___.
Bases
In plane geometry, two circular arcs that together make up a full circle are called:
Conjugate Arcs
Polygons are classified according to the number of _____.
Sides
When two planes intersect with each other the amount of divergence between the two planes is expressed by the
Dihedral Angle
An angular unit equivalent to 1/4000 of the circumference of a circle is called
Grad
Express 45° in mils.
800
The arc length equal to the radius of the circle is called
Radian
A five-pointed star is also known as:
Pentagram
If two or more lines have a single point which lies on all of them, then they are:
Concurrent
The action of bringing one geometric figure into coincidence with another is called:
Superposition
A line intersect two or more lines at distinct points
Transversal
An arc length equal to the radius of circle
Radian
An angle which is 1/400th of the full revolution
Gon
Another term for Gon.
Grad and Centesimal degree
An angle whose vertex is a point on the circle and whose sides are chords is known as:
Inscribed Angle
An angle greater than the right angle but less than a straight angle.
Obtuse Angle
Any angle greater than a straight angle but less than two straight angles is known as ___ angle.
Reflex
The angle formed by the prolongation of one side and the adjacent side of the polygon.
Exterior Angle
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
Another term for exterior angle
Deflection angle
What is the sum of all deflection angles in given polygon?
Always equal to 360°
The coterminal angle of 120° is:
-240°
Two planes intersect each other. What is the term for the angle formed perpendicular to the intersection of two planes?
Dihedral Angle
When a terminal side of an angle coincides with an axis, the angle is a:
Quadrantal Angle
If the exterior angle of a polygon is obtuse, its corresponding interior angle is:
An Acute Angle
The measure of 2.25 revolutions counterclockwise is:
810°
Solid angles are measured in:
Steradians
What is the largest measure (in steradians) of a solid angle:
4 pi
Steradians measure in space in analog of ___ measured in the plane.
Radians
A part of a circle is called:
Arc
It is a union of the chord of a circle and the intercepted arc.
Segment
A ___ of a circle in the figure bounded by two radii and the intercepted arc.
Sector
The apothem of a polygon is the ___ of its inscribed circle.
Radius
As the area of the circle increases, the ratio of its circumference to its diameter.
Remains Constant
A circle is said to be ___ to a polygon having the same perimeter with that of the circle
Isoperimetric
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.
All circles having the same center but of unequal radii are called:
Concentric Circles
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
The center of the inscribed circle of a triangle is known as ______ of the triangle
INCENTER
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
A circle or radius R has a curvature of
1/R
A polygon is ______ when no side, when extended, will pass through the interior of the polygon.
CONVEX
A polygon is said to be a regular polygon if it is
CONVEX, ALL SIDES ARE CONGRUENT , ALL ANGLES ARE CONCRUENT
Polygon inscribed in the same circle called.
CONCYCLIC polygons
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
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)
What do you call a polygon with 11 sides?
UNDECAGON
Pentagon is to 5 sides as _______ is to 11 sides.
HENDECAGON
A polygon having 12 sides is called:
DODECAGON
A polygon of 100 sides is called
CHILLIAGON
The highest point of figure relative to a baseline or plane is called:
SUMMIT
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
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
A quadrilateral with no sides parallel.
TRAPEZIUM
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
The five pointed star described by the diagonals of a regular pentagon
PENTEGRAM OR PENACLE
The geometric figure remaining after a parallelogram has been removed from one corner of a larger similar polygon.
GNOMON
A oblique-angled parallelogram with four sides equal is called .
RHOMBUS, DIAMOND, LOZENGE ALL OF THE ABOVE
A non convex quadrilateral with two pairs of adjacent equal sides is called
DELTROID
What is another term for a parallelogram?
RHOMBOID
Prisms are classified according to their:
BASES
A solid cut of a given solid by two non-parallel planes is called:
TRUNCATED PRISM
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
Portion of regular solid left after cutting off the upper part by a plane parallel to the base.
Frustum
Body or space bounded by surface every point of which is equidistant from a point within.
Sphere
A solid bounded by a zone and the planes of the zone’s base.
Spherical Segment
The intersection of the sphere and the plan through the center is called:
Great Circle
The portion of a sphere enclosed between two great semi-circles having common end points, including the semi-circle.
Lune
A portion of the surface of a sphere included between two parallel planes.
Zone
If R is the radius of the sphere and h is the distance between two parallel plane, the area of the zone is:
2πRh
The solid bounded by two great circles and the surface of a sphere is known as:
Spherical wedge
A cone or cylinder with its top cut off by plane oblique to the base.
Ungula
A term given to cylinder with elliptical cross-section.
Cylindroid
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
A regular solid star in a shape that is radiating from center like rays of star.
Stellated Solid
Formed by intersection of rays from one point reflected of refracted from a curvature.
Caustic
The regular polyhedron is a solid with all its faces identical regular polygons. The regular polyhedrons are also known as:
Platonic Solids
There are how many regular polyhedral known to man?
5
An icosahedron is a regular polyhedron of ________ faces.
20
A regular polyhedron with 6 sides is called:
Hexahedron
The face of a regular tetrahedron is a:
Triangle
The face of a regular octahedron is a:
Triangle
The face of a regular dodecahedron is a:
Pentagon
The face of a regular icosahedron is a:
Triangle
Which regular polyhedron does not have a face a triangle?
Dodecahedron
How many edges are there in a dodecagon?
30
A tetrahedron has ______ vertices
4
