| 1.
Investigating SSS: Given the following
three segments, construct a triangle, if you can.
 |
Is there more than one type
of triangle that can be constructed using these three sides,
or will ALL possible triangles be of the same shape and
size?
Teacher: If
you want students to also investigate the triangle
inequality theorem, shorten the lengths of segments b and
c
such that the lengths of b + c will be less than the length
of a and let students see what happens (no triangle).
|
2.
Investigating SAS: Given the following
two segments and one angle, construct a triangle with the
angle included between the two sides, if you can.
 |
Is there more than one type
of triangle that can be constructed using these figures, or
will ALL possible triangles be of the same shape and size?
Teacher: If
you want students to have more practice with angles and
triangles, change the size of the angle to an obtuse angle. |
3.
Investigating ASA: Given the following
two angles and one segment, construct a triangle with the
segment included between the two angles, if you can.
 |
Is there more than one type
of triangle that can be constructed using these figures, or
will ALL possible triangles be of the same shape and size?
Teacher: If
you want students to have more practice with angles and
triangles, change the size of one of the angles to an obtuse
angle. If you want students to understand that a
triangle can have only ONE obtuse angle, change both angles
to obtuse angles and let them investigate. |
4.
Investigating AAS: Given
the following two angles and one segment, construct a
triangle with the segment NOT included between the two
angles, if you can.
|
Is there more than one type
of triangle that can be constructed using these figures, or
will ALL possible triangles be of the same shape and size?
|
5.
Investigating HL: Given
the following right angle and two segments, construct a
triangle with the angle NOT included between the two
segments, if you can.
 |
Is there more than one type
of triangle that can be constructed using these figures, or
will ALL possible triangles be of the same shape and size?
Teacher: If you wish
students to practice their constructions, you can have them
construct their own right angle. |
6.
Investigating AAA: Given
the following three angles, construct a triangle, if you
can.
 |
Is there more than one type
of triangle that can be constructed using these three
angles, or will ALL possible triangles be of the same shape
and size?
Teacher: If you wish
students to further investigate the relationship of angles
in triangles, change the size of the angles so that they do
not add to 180º and ask students to investigate. |
7.
Investigating SSA: Given the following two segments and one angle, construct a
triangle with the angle NOT included between the two sides,
if you can.
 |
Is there more than one type
of triangle that can be constructed using these figures, or
will ALL possible triangles be of the same shape and size?
|
