Download Geometry Georgia Performance Standards

Geometry
Georgia Performance Standards
Jan Munroe
[email protected]
Sawnee Elementary School
Forsyth County Schools
Angles
An angle is formed by 2 rays or 2 line
segments that share the same endpoint.
Angle formed by
2 segments
The endpoints where the rays or segments
meet is called the vertex of the angle. The
rays or segments are called the sides of the
angle.
Classifying Angles
Angles may be classified according to size. Use
the protractor tool to measure the angles below.
A right angle
measures 90
degrees.
An accute angle
measures between
0 and 90 degrees.
A straight angle
measures 180 degrees
An obtuse angle
measures between
90 and 180 degrees.
A reflex angle
measures between
180 and 360 degrees.
A right angle
measures 90
degrees.
An accute angle
measures between
0 and 90 degrees.
A straight angle
measures 180 degrees
An obtuse angle
measures between
90 and 180 degrees.
A reflex angle
measures between
180 and 360 degrees.
Use the spotlight tool to locate the right, acute, obtuse,
reflex and straight angles in the illustation below.
B
A
C
D
G
F
E
Parallel and Perpendicular Lines
Parallel lines are lines on
a flat surface that never
meet. They are always
the same distance apart.
Perpendicular lines are
lines that intersect or
cross and form right
angles.
Triangles are the simplest type of polygons. The prefix tri
means three. Triangles have 3 vertices, 3 sides,and 3 angles.
Equilateral
Triangle
All sides and
angles are equal.
Isosceles
Triangle
Has two equal sides
and two equal angles.
Right
Triangle
Has one right
(90 degree angle).
Scalene
Triangle
Has no equal sides
and no equal angles.
Drag the triangles at the bottom of this
page to the boxes in which they belong!
Isosceles Triangles
Right Triangles
Scalene Triangles
Equilateral Triangles
A quadrangle is a polygon that has 4 sides. Another name for
quadrangle is quadrilateral. The prefix "quad" means four. All
quadrangles have 4 sides, 4 vertices and 4 angles.
Rhombus
Parallelogram
Quadrangles with 2
pairs of parallel sides.
Opposite corners of a
square are pulled in
opposite directions.
Rectangle
Opposite sides
are equal.
Square
Has 4 equal sides
and 4 equal angles.
Trapezoid
All sides may have
different lengths and
angles may be different.
Trapezoid
Rectangle
Parallelogram
Square
Check for Understanding
____ 1. Which one of the following figures is a trapezoid?
A.
B.
C.
____ 2. Which one of the following figures is a right angle?
A.
B.
C.
____ 3. Which one of the following figures is a parallelogram?
A.
B.
C.
Check for Understanding
____ 4. Which one of the following figures is an equilateral triangle?
A.
B.
C.
____ 5. Which one of the following figures is an example of parallel lines?
A.
B.
C.
____ 6. Which one of the following figures is an acute angle?
A.
B.
C.
Use the voter button to select the correct answer.
1. A right angle measures
A. 180 degrees
B. between 0 and 90 degrees
C. 90 degrees
2. A reflex angle measures
A. between 180 and 360 degrees
B. between 90 and 180 degrees
C. 180 degrees
3. A straight angle measures
A. 90 degrees
B. between 90 and 180 degrees
C. 180 degrees
4. Acute angles measure
A. between 180 and 360 degrees
B. between 0 and 90 degrees
C. between 90 and 180 degrees
Use the voter button to select the correct answer.
6. Lines or line segments that never meet
and are always the same distance apart are
calledA. intersecting lines
B. parallel lines
C. perpendicular lines
7. Lines or line segments that cross and form
right angles are calledA. intersecting lines
B. parallel lines
C. perpendicular lines
8. Lines or line segments that cross each other
are calledA. intersecting lines
B. parallel lines
C. perpendicular lines
10. A triangle with one right angle is called
A. a scalene triangle
B. an equilaterial triangle
C. a right triangle
11. A triangle that has no equal sides is called
A. a scalene triangle
B. an equilateral triangle
C. a right triangle
Use the voter button to select the correct answer.
12. A quadrilateral that has two pairs of parallel
sides is called
A. a trapezoid
B. a kite
C. a parallelogram
13. A quadrangle with 1 pair of parallel sides
and may have different lengths for all sides
is calledA. a trapezoid
B. a kite
C. a parallelogram
14. Quadrangles that are parallelograms are
A. trapezoids and kites
B. rectangles, rhombuses and squares
C. cubes and trapezoids
Credits
Bell, M. (et.al.). Everyday Mathematics. The
University of Chicago School Mathematics
Project. Everyday Learning: Chicago, Illinois,
2002.