Download Angle - MrsMarroccoMath

Geometry
Point
An exact position
Line
A set of points that is endless
in two directions
A
B
Line segment
Part of a line with 2 endpoints
• Each endpoint may be given a
name in the form of a letter to
identify it
• This line is AB
Intersecting Lines
• Cross at one point
• Forms 2 acute angles and 2 obtuse angles
Parallel Lines
Never cross
Ray
Part of a Line with one endpoint
Angle
• Two rays with the same endpoint
Vertex
• The endpoint of an angle
• Where two sides meet
Right Angle
Makes a square
corner
Measures 90
degrees
Perpendicular Lines
• Forms 4 angles that are 90 degrees
each
• Two lines, line segments, or rays meet
to form a right angle
Acute Angle
An angle that is smaller than a 90 degree angle
(right angle)
Obtuse Angle
An angle that is larger than a 90 degree
angle (right angle)
Polygon
• A CLOSED shape made up of
line segments.
• Each line segment is a side.
• No curved lines.
Polygons
• Closed figure
• All sides are line segments
part of a line
has 2 end points
Vertex
Side
Triangle
• 3 sides
• 3 line segments
• 3 vertices
Quadrilateral
• 4 sides
• 4 line segments
• 4 vertices
Pentagon
• 5 sides
• 5 line segments
• 5 vertices
Hexagon
• 6 sides
• 6 line segments
• 6 vertices
Octagon
• 8 sides
• 8 line segments
• 8 vertices
Triangles
• Important:
• Triangles are classified in two ways
– By their length of their sides
– By their angles
When you name a triangle
YOU MUST GIVE IT TWO NAMES
Triangles classified by the length
of their sides
Equilateral Triangle
All sides are the same length
Isosceles Triangle
Two sides are the same length
Scalene Triangle
No sides are the same length
Triangles classified by the size of
their angles
Right Triangle
One Angle is a right angle
That means that one angle
is 90 degrees
Acute Triangle
All three angles are acute
Acute-less than a right angle (90 degrees)
Obtuse Triangle
One angle is obtuse
More than a right angle (90 degrees)
Quadrilaterals
Square
• Four right angles
• All sides the same length
• Opposite sides are parallel
A square can be considered a parallelogram,
rhombus and a rectangle
Because they all have 4 right angles
Rectangle
• There are 4 right angles
• Opposite sides are parallel and equal in size
• Is also considered a parallelogram
Parallelogram
• 2 pairs of parallel sides
• Opposite sides are equal in
length
Rhombus
•
•
•
•
All sides are the same length
Opposite sides are parallel
all sides are of equal length
Also considered a parallelogram
Trapezoid
• Exactly one pair of parallel sides