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Math |
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Objective:
Symmetry, Congruence, and Similarity
In this lesson you will demonstrate an understanding
of symmetry, congruence, and similarity.
If you need to check a word's definition, please go to the glossary by clicking the Vocabulary button
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acute
- angle
- circumference
- cone
- cube
- diagonal
- diameter
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- edge
- equilateral
- face
- hexagon
- isosceles
- obtuse
- octagon
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- parallelogram
- pentagon
- perpendicular
- pyramid
- quadrilateral
- rhombus
- right angle
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- sphere
- trapezoid
- vertex (vertices)
- cylinder
- polyhedron
- prism
- tessellation
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Tips to Remember:
To show "congruent to":
To show a right angle:
Hash marks may be used on line segments to
indicate that they are of equal length:

The inverted T is used to indicate perpendicular
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The measurement of the three angles within a triangle
total 180 degrees.
There are three kinds of triangles. An equilateral
triangle is a triangle that has all three
sides the same length. An isosceles triangle is
a triangle that has two sides that are the same
length. A scalene triangle is a
triangle that has all three sides with a different
length.

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There are three kinds of angles. A right angle measures
90 degrees. An acute angle measures less
than 90 degrees. An obtuse angle measures
greater than 90 degrees.

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A quadrilateral is a polygon with 4
sides. Some quadrilaterals include squares, rectangles, parallelograms,
and trapezoids.

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- A polygon is a closed figure formed
by line segments.
- A regular polygon is a polygon with
all sides the same length and the all angles
the same measure.
- An irregular polygon is a polygon
with sides of different lengths and the angle
measurements are different as well.

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Figures that have the same size and shape. Figures
are congruent if you can slide, flip, or turn (rotate)
one to make it fit exactly on the other one.

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Figures that have the same shape, but necessarily
don't have the same size.

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Symmetrical or symmetry means correspondence in
size, shape, and relative position of parts on opposite
sides of a dividing line about an axis. To see if
a figure is symmetrical, you need to find a line
through the figure that when the figure is folded
along that line both sides of the line are the same,
they match up identically. Here are some examples
of geometric figures with lines of symmetry:

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