geometry study power point welcome elementary school 2014
TRANSCRIPT
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Geometry Study Power Point
Welcome Elementary School 2014
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Lines and Angles
4GA.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
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Points and Line Segments
A B
points
When you connect two
points using a straightedge, you
create a
line segment
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Points, Endpoints and Line Segments
A B
line segment• letters are often used to name a line segment
• ONE name for this line segment is “line segment AB”
• A short way to write “line segment AB” is AB
• Another name for this line segment is “line segment BA”
endpoint
endpoint
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Lines
A B
lines• extending line segment AB in both directions and drawing an arrow at each end makes a LINE
• This line is called “line AB” or “line BA”
• A short way to write the name of this lines is
AB or BA
point point
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Ray
C D
rays• line segment that goes on without end in only ONE
direction
• Point C is the ENDPOINT of the ray CD
• The letter that names the ENDPOINT is ALWAYS
written first.
Short way to write the name is CD
endpoint
point
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What is an angle?
D O
A angle is two rays or line
segments that share a common endpoint, called
the vertex.
G
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Naming AnglesA B
How to name angles:• The vertex is one way to name an angle. The angle here could be named angle B because B is the vertex of the angle.
• Remember that the middle letter in the name of the angle is always the vertex.
You should name this angle CBA or ABC.
vertex
C
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Important ideas to remember about angles
• Angles can be formed by two rays or two line segments that share a common endpoint.
• The common endpoint is called the vertex.• The vertex is always named in the middle
of an angle.• When you draw an angle, make sure you
use a half circle to show the viewer where to look This shouts, look here!
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2d Shapes
4GA.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
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Quadrilaterals
What is a four-sided shape called?quadrangle or quadrilateral
Literally means “4” angles or “4” sides
QUAD always means four
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Triangles
A triangle is a three-sided shape.
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Right Triangle - one of its angles is a right
angle (90º)Obtuse Triangle - one of its angles is bigger
than 90ºAcute Triangle - all of its angles are smaller
than 90º
Scalene - each side is a different length
Isosceles - two sides are the same length
Equilateral - all sides are the same length
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Symmetry
4GA.3 Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.
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Symmetry: A figure has a line of symmetry when it can be folded along a line so that its two halves
match each other exactly.
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These letters have a line of symmetry drawn.
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Geometry Cartoons