## Geometry: Unit 1: Introduction to Plane Geometry

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michaelam1015  on August 8, 2012

##### Classes:

Abeka Kids Network 2

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# Geometry: Unit 1: Introduction to Plane Geometry

 What does the word "geometry" mean?Geometry means "earth measurement."
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#### Definitions

What does the word "geometry" mean? Geometry means "earth measurement."
What was Euclid's book called? Euclid's book is called Elements.
What is Geometry? Geometry is the study that deals with the properties, measurement, and construction of flat figures, such as angles, triangles and rectangles, and of solid figures, such as cubes, pyramids, and spheres.
What is a geometric solid? A geometric solid is the space which an objects formerly occupied.
What is the surface? The surface are the faces which bind the solid.
What is a line? A line is the intersection of two surfaces.
What is a point? A point is the intersection of any two lines.
What are geometric figures? Geometric figures are solids, surfaces, and lines.
What is considered into a geometric figure? Things that are considered into a geometric figure is their from or shape and their size.
What is the magnitude of a figure? The magnitude of a figure refers to its size or extent.
What is one of the most fundamental concepts in geometry? One of the most fundamental concepts in geomtry is the straight line.
What is used to draw straight lines? The instrument used to draw a staright line is called a straight edge.
What is a plane figure? A plane figure is the stariught line joining any two of its points lying wholly withing the surface.
What is a broken line? A broken lines is made up of diffenet successive straight lines.
What is a curved line? A curved line is a line that is bent.
TRUE OR FALSE: If false, give the correct answer.
Two points determine (fix) a straight line.
True
If you have two lines on top of each other, what is it called? Two lines on top of each other coincide.
What is a limited portion of a line? A line segment
When two line segments have their end points coincide, they are? Equal
A line segment is divided into two equal parts by what? The midpoint or bisector
What is a line segment is divided into three equal parts it is called what? Trisection points
What are lines best measured with? A compass
Lines or figures formed using only a compass and a straight edge are called what? constructions
What is the equation known as? An equality
What is the second and third part of the equation known as? inequalities.
If a>b and b>c, what else is true> a>c
What is an angle? An angle is the figure formed by two straight lines drawn from the same point.
What are the sides of the angle called? sides
What is the point of intersection in an angle called? The vertex
What is the plural of vertex? vertices
When are two angles equal? When they can be made to coincide
What is the line through the vertex of an angle which divides it into two equal angles? the bisector of the angle.
What is true about the bisector of the angle? Each part formed by the angle bisector is half of the whole angle
It is evident that the _____ of an angle depends on the amount of turning and not on the length of the pencil size
When the generating line makes a complete revolution, the angle formed is called what? (360⁰) a perigon
When an angle whose sides form on straight line extending through the vertex it is a ________. (180⁰) straight angle
When two angles have the same vertex and a common side between them what are they? adjacent angles
When one straight line meets another so as to make two equal adjacent angles, each angle is what? a right angle
A right angle is one _____ of a straight angle. half
When two lines form right angles with each other, each line is said to be what? perpendicular
The point which the lines have in common is called what? the foot of the perpendicular
An acute angle is what? less than a right angle
An obtuse angle is what? more than a right angle, but less than a straight angle
A reflex angle is what? more than a straight angle, but less than a perigon
What is an oblique angle? an angle other than a right or straight angle
Lines which are not perpendicular or parallel are called what? oblique lines
Two angles are complementary when what? their sum is a right angle
Two angles are supplementary when what? their sum is a straight angle
When two straight lines intersect, the two angles non adjacent are called opposite or _________ angles. vertical
How is a degree written?
How is a minute written? '
How is a second written? ''
What is the instrument called for measuring angles? a protractor
A figure bounded by three straight lines is what? A triangle
The three points of intersection of the sides are called what? vertices
The side upon which a triangle is supposed to stand is called what? the base
An angle formed by one side of a triangle and the adjacent side extended through the vertex is what? an exterior angle
What are the angles opposite each other inside of the triangle> opposite interior angles
What is a line drawn from any vertex to the midpoint of the opposite side in a triangle? the median
What is the perpendicular drawn from the vertex to the opposite side of a triangle? the altitude
What is the sum of all three angles in a triangle? 180⁰
Which triangle has no two sides equal? scalene
Which triangle has at least two sides equal? isosceles
What are the equal sides of an isosceles triangle called? the legs
What is the other side that is not equal in an isosceles triangle called? the base
What are the angles at the base of a triangle called? the base angles
What is the angle opposite the base in a triangle? the vertex angle
A triangle which has all three sides equal is what? An equilateral triangle
A triangle which has three acute angles is what? an acute triangle
A triangle which has an obtuse angle is what? an obtuse triangle
A triangle which has a right angle is called what? a right triangle
The side opposite the right angle is called the what? hypotenuse
The other two sides in a triangle that are not the hypotenuse are called what? the legs
A triangle which has three equal angles is called what? An equilangular triangle
What is a plane figure bounded by straight lines? A polygon
What are the lines of a polygon called? sides
What are the intersections of a polygon called? vertices
What is the side upon which a polygon is supposed to stand on? the base
What is an angle formed by one side of a polygon and the adjacent side extended? the exterior angle
Two sides that meet at any vertex in a polygon are called ________ or ___________ sides and are said to include the angle at that vertex. consecutive or adjacent
A ________ of a polygon is a line joining two vertices that are not consecutive. diagonal
A _____ polygon is a polygon each of who interior angles is less than 180⁰. convex
A ______ polygon is a polygon with at least on interior angle greater than 180⁰. concave
What is a polygon that is both equilangular and equilateral? a regular polygon
What is the common point where the bisectors of the interior angles intersect inside the polygon called? the center of the polygon

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