Download Discover properties of polygons using tans

the seven “tans”
tangram
DISCOVER ATTRIBUTES OF POLYGONS USING TANS
o Trace one of the small right
triangles in the box to the
right.
o Label the right angle 90 .
90
o List two other attributes of
this triangle.
1.
The triangle has three sides.
Each of the sides are smaller than the hypotenuse
The triangle has three angles.
The total number of degrees is 180 .
The sum of the two smaller angles is 90 .
2.
o
Trace the middle-sized right
triangle (in the box to the
right) so that the right angle is
on top.
o
Measure the sides of this
triangle. What did you
discover?
o
Label the sides of the triangle
with their measures. This is an
isosceles triangle.
The two sides are the same length.
Because the triangle is isosceles, the two angle
besides the right angle, both equal 45 .
Sarah Fleeman, CD2, Set 1
Exploring Geometry with Tangrams
C·R·E·A·T·E for Mississippi
Copyright ©2001. All rights reserved.
This document may be copied and distributed for nonprofit educational purposes only
provided that credit is given to C·R·E·A·T·E for Mississippi.
the seven “tans”
o
tangram
Trace another right isosceles
triangle in the box to the right.
How many right angles does it
have?
o The sum of the three angle
measures of any triangle is
always 180 . If the two
opposite angles of an isosceles
triangle are equal, what do the
opposite angles of the triangle
you drew measure?
o
Explain how you arrived at your
answer.
o
A quadrilateral is a polygon with
four sides. Two of your tans
are quadrilaterals. Trace them
in the box to the right.
o
Label the square, and list as
many attributes as you can
observe below.
Sarah Fleeman, CD2, Set 1
Exploring Geometry with Tangrams
C·R·E·A·T·E for Mississippi
Copyright ©2001. All rights reserved.
This document may be copied and distributed for nonprofit educational purposes only
provided that credit is given to C·R·E·A·T·E for Mississippi.
the seven “tans”
o
Do the same for the
parallelogram.
o
Use your tans to make a
trapezoid. Trace it in the box
to the right. How many parallel
sides does this trapezoid have?
o
List any other attributes you
observe about the trapezoid.
tangram
*Other polygons are named for the number of sides they have.
Sarah Fleeman, CD2, Set 1
Exploring Geometry with Tangrams
C·R·E·A·T·E for Mississippi
Copyright ©2001. All rights reserved.
This document may be copied and distributed for nonprofit educational purposes only
provided that credit is given to C·R·E·A·T·E for Mississippi.
the seven “tans”
o
Use your tans to form a
pentagon (5 sides). Trace it
in the box to the right.
o
Use your tans to form a
hexagon (6 sides). Trace it
in the box to the right.
tangram
Sarah Fleeman, CD2, Set 1
Exploring Geometry with Tangrams
C·R·E·A·T·E for Mississippi
Copyright ©2001. All rights reserved.
This document may be copied and distributed for nonprofit educational purposes only
provided that credit is given to C·R·E·A·T·E for Mississippi.
the seven “tans”
o
Use your tans to form a
heptagon (7 sides).Trace it
in the box to the right.
o
Use your tans to form an
octagon (8 sides). Trace it
below.
tangram
Sarah Fleeman, CD2, Set 1
Exploring Geometry with Tangrams
C·R·E·A·T·E for Mississippi
Copyright ©2001. All rights reserved.
This document may be copied and distributed for nonprofit educational purposes only
provided that credit is given to C·R·E·A·T·E for Mississippi.
the seven “tans”
o
Use your tans to form a
nonagon (9 sides).Trace it
below.
o
Use your tans to form a
decagon (10 sides). Trace
it in the box to the right.
Name:____________________
tangram
Date:______________
Sarah Fleeman, CD2, Set 1
Exploring Geometry with Tangrams
C·R·E·A·T·E for Mississippi
Copyright ©2001. All rights reserved.
This document may be copied and distributed for nonprofit educational purposes only
provided that credit is given to C·R·E·A·T·E for Mississippi.