Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
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Warm Up Do the following letters of the alphabet
have symmetry, and if so, is the line of symmetry
horizontal or vertical? 1. X 2. P 3. C 4. T
yes both
no
yes horizontal
yes vertical
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Problem of the Day If either diagonal is drawn
in a figure, the figure is divided into two
congruent triangles. What is the most general
classification of this figure?
parallelogram
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Learn to identify tessellations and shapes that
can tessellate.
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Insert Lesson Title Here
Vocabulary
tessellation
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A tessellation is a repeating arrangement of one
or more shapes that completely covers a plane
with no gaps and no overlaps.
Although most tessellations are made by humans, a
few occur in nature. Honeycombs are naturally
occurring tessellations of regular hexagons.
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Additional Example 1A Identifying Polygons that
Tessellate the Plane Identify whether the polygon
can tessellate the plane. Make a drawing to show
your answer. A.
The trapezoids cover the plane without any gaps
or overlaps.
The trapezoid can tessellate the plane.
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Additional Example 1B Identifying Polygons that
Tessellate the Plane Identify whether the polygon
can tessellate the plane. Make a drawing to show
your answer. B.
There are gaps between the pentagons.
The pentagon cannot tessellate the plane.
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Try This Example 1A Identify whether the polygon
can tessellate the plane. Make a drawing to show
your answer. A.
The triangles cover the plane without any gaps or
overlaps.
The triangle can tessellate the plane.
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Try This Example 1B Identify whether the polygon
can tessellate the plane. Make a drawing to show
your answer. B.
There are no gaps between the parallelograms.
The parallelogram can tessellate the plane.
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Additional Example 2A Identifying Nonpolygons
That Tessellate the Plane Identify whether the
shape can tessellate the plane. Make a drawing to
show your answer.
A.
The shapes cover the plane without any gaps or
overlaps.
This shape can tessellate the plane.
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Additional Example 2B Identifying Nonpolygons
That Tessellate the Plane Identify whether the
shape can tessellate the plane. Make a drawing to
show your answer. B.
The shapes cover the plane without any gaps or
overlaps.
This shape can tessellate the plane.
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Try This Example 2A Identify whether the shape
can tessellate the plane. Make a drawing to show
your answer. A.
There are gaps between the shapes.
This shape cannot tessellate the plane.
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Try This Example 2B Identify whether the shape
can tessellate the plane. Make a drawing to show
your answer. B.
The shapes cover the plane with any gaps or
overlaps.
This shape can tessellate the plane.
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Insert Lesson Title Here
Lesson Quiz
True or false? 1. A regular hexagon can
tessellate the plane. 2. A regular octagon can
tessellate the plane. 3. A square can tessellate
the plane. 4. A regular pentagon can tessellate
the plane.
true
false
true
false