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PLANE & SOLID GEOMETRY
  • DELA CRUZ JANELLE DARYL A.

  • 問題数 100 • 2/16/2025

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  • 1

    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

  • 2

    Each of the faces of a regular hexahedron Is a

    Square

  • 3

    It is a polyhedron of which two faces are equal polygons in parallel planes and the other faces are parallelograms.

    Prism

  • 4

    The apothem of a polygon is _____of its inscribed circle.

    Radius

  • 5

    Each-angle of regular dodecagon is equal to

    150

  • 6

    The area bounded by two concentric circles is called

    Annulus

  • 7

    One-fourth of a great circle is called

    Quadrant

  • 8

    Points that lie on the same plane are called

    Coplanar

  • 9

    The volume of a circular cylinder is equal to the product of its base and altitude.

    Theorem

  • 10

    The study of properties of figures in three dimensions.

    Solid Geometry

  • 11

    A plane closed curve, all points of which are the same distance from a point within, called the center.

    Circle

  • 12

    What is the angle of pi and less than 2pi?

    Oblique Angle

  • 13

    What is the value in degrees of 1 radian?

    57.3

  • 14

    Prisms are named according to their_____

    Bases

  • 15

    In plane geometry, two circular arcs that together make up a full circle are called

    Conjugate Arcs

  • 16

    Polygons are classified according to the number of _____

    Sides

  • 17

    When two planes, intersects with each other, the amount of divergence between the two planes is expressed by measuring the

    Dihedral Angle

  • 18

    An angular unit equivalent to 1/4000 of the circumference of a circle is called

    Grad

  • 19

    Express 45° in mils.

    800

  • 20

    The arc length equal to the radius of the circle is called

    Radian

  • 21

    A five-pointed star is also known as

    Pentagram

  • 22

    If two or more lines have a single point which lies on all of them, then they are

    Concurrent

  • 23

    The action of bringing one geometric figure into coincidence with another is called

    Superposition

  • 24

    A line that intersect two or more lines at distinct points.

    Transversal

  • 25

    An arc length equal to the radius of a 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

    The angle formed by the prolongation of one side and the adjacent side of the polygon.

    Exterior Angle

  • 31

    Two angles which have the same vertex and the sides of one are form by extending the sides of the other.

    Vertical Angle

  • 32

    Another term for exterior angle.

    Deflection Angle

  • 33

    What is the sum of all deflection angles in given polygon?

    always equal to 360 degree

  • 34

    The coterminal angle is 120° is

    -240 degree

  • 35

    Two planes intersect each other.What is the term for the angle formed perpendicular to the intersection of two planes?

    Dihedral Angle

  • 36

    When a terminal side of an angle coincides with an axis, the angle is

    Quadrantal Angle

  • 37

    If the exterior angle of a polygon is obtuse, its corresponding interior angle is

    an acute angle

  • 38

    The measure of 2.25 revolutions counterclockwise is

    810 degree

  • 39

    Solid angles are measured in

    Steradians

  • 40

    What is the largest measure (in steradians) of a solid angle

    4 pi

  • 41

    Steradians measure in space in analog of _____ measured in the plane.

    Radians

  • 42

    A part of a circle is called

    Arc

  • 43

    It is a union of the chord of a circle and the intercepted arc.

    Segment

  • 44

    A _______ of a circle in the figure bounded by two radii and the intercepted arc

    Sector

  • 45

    The apothem of a polygon is the ______ of its inscribed circle.

    Radius

  • 46

    As the area of the circle Increases, the ratlo of Its circumference to its diameter ______

    Remains constant

  • 47

    A circle is said to be ______ to a polygon having the same perimeter with that of the circle

    Isoperimetric

  • 48

    All circles having the same center but of unequal radil are called

    Concentric Circles

  • 49

    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 Chord

  • 50

    The center of the inscribed circle of a triangle is known as known as ______of the triangle.

    Incenter

  • 51

    Supplementary chords are two chords which join a point on the circle to the endpoints of a diameter. The supplemental chords subtend a/an _____ angle.

    Right

  • 52

    A circle or radius R has a curvature of

    1/R

  • 53

    A polygon is _____when no side, when extended, will pass through the interior of the polygon.

    Convex

  • 54

    Polygon inscribed in the same circle called

    Concyclic Polygon

  • 55

    If n is the number of sides of a polygon, then the sLm of all interior angles of a polygon is expressed as

    (n-2) 180

  • 56

    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)

  • 57

    What do you call a polygon with 11 sides?

    Undecagon

  • 58

    Pentagon is to 5 sides as _____ is to 11 sides

    Hendecagon

  • 59

    A polygon having 12 sides is called

    Dodecagon

  • 60

    A polygon of 100 sides is called

    Hectogon

  • 61

    The highest point of a figure relative to a baseline or plane is called

    Summit

  • 62

    A quadrilateral with no sides parallel.

    Trapezium

  • 63

    The five-pointed star described by the diagonals of a regular pentagon.

    Pentegram or Penacle

  • 64

    The geometric figure remaining after a parallelogram has been removed from one corner of a larger similar polygon.

    Gnomon

  • 65

    A non-convex quadrilateral with two pairs of adjacent equal sides is called

    Deltroid

  • 66

    What is another term for a parallelogram?

    Rhomboid

  • 67

    A Solid cut of a given solid by two non parallel planes is called

    Truncated Prism

  • 68

    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

  • 69

    Portion of regular solid left after cutting off the upper part by a plane parallel to the base.

    Frustum

  • 70

    Body or space bounded by surface every point of which is equidistant from a point within.

    Sphere

  • 71

    A solid bounded by a zone and the planes of the zone's base.

    Spherical Segment

  • 72

    The intersection of the sphere and the plane through the center is called

    Great Circle

  • 73

    The portion of a sphere enclosed between two great semi-circles having common end points, including the semi-circle.

    Lune

  • 74

    A portion of the surface of a sphere included between two parallel planes.

    Zone

  • 75

    If R is the radius of the sphere and h is the distarce between two parallel plane, the area of the zone is

    2 pi R h

  • 76

    The solid bounded by two great circles and the surface of a sphere is known as

    Spherical Wedge

  • 77

    A cone or cylinder with its top cut off by plane oblique to the base.

    Ungula

  • 78

    A term given to cylinder with elliptical cross-section.

    Cylindroid

  • 79

    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

  • 80

    A regular solid star in a shape that is radiating from center like rays of star.

    Stellated Solid

  • 81

    Formed by intersection of rays from one point reflected or refracted from a curvature sumace.

    Caustic

  • 82

    The regular polyhedron is a solid with all its faces identical regular polygons. The regular polyhedrons are also known as

    Platonic Solids

  • 83

    There are how many regular polyhedra known to man?

    5

  • 84

    An icosahedron is a regular polyhedron of _____ faces.

    20

  • 85

    A regular polyhedron with 6 sides is called

    Hexahedron

  • 86

    The face of a regular tetrahedron is a

    Triangle

  • 87

    The face of a regular octahedron is a

    triangle

  • 88

    The face of a regular dodecahedron is a

    Pentagon

  • 89

    The face of a regular icosahedron is a

    Triangle

  • 90

    Which regular polyhedron does not have a face a triangle?

    Dodecahedron

  • 91

    How many edges are there in a dodecagon?

    30

  • 92

    A tetrahedron has _____vertices.

    4

  • 93

    A tetrahedron has ______vertices.

    4

  • 94

    Given two solids and a plane. Supposed that every plane parallel to the given plane intersecting one of the two solids, also intersects the other and gives cross-sections with the same area, then the two solids have the same volume. This is known as the

    Cavalleri’s Postulate

  • 95

    Who formulated the Cavalleri's Principle?

    Buenventura Cavalleri

  • 96

    A line segment that is divided into two segments, a greater a and a smaller b such that the length of a + b is to a and a is to b. division is known as

    Golden Ratio

  • 97

    The volume of a parabolold is equal to circumscribing cylinder.

    1/2

  • 98

    Best describe Ptolemy’s Theorem

    used only for concyclic quadrilaterals

  • 99

    An oblique angle parallelogram with for sides is equal called

    rhombus, diamond, lozenge

  • 100

    Any angle greater than a straight angle but less than two straight angles is known as ____ angle.

    Reflex