Module 2 Discussion Board

1. Module 2 Discussion Board

2. An example
and
explanation of
all similarity
criteria theore
ms including
AA~, SSS~ and
SAS~ Part
One: AA
AA states that two triangles are similar if they have two
corresponding angles that are congruent or equal in measure.

3. An example and
explanation of
all similarity
criteria theorem
s including AA~,
SSS~ and SAS~
Part Two SSS
If the lengths of the corresponding sides of two triangles are
proportional, then the triangles must be similar.

4. An example and
explanation of
all similarity
criteria theorem
s including AA~,
SSS~ and SAS~
Part Three SAS
If two sets of corresponding sides of two triangles are
proportional and their included angle is congruent, the two
triangles are similar.

5. An example and explanation of all congruence criteria including SAS, SSS, ASA and HL
Part One: SAS
If two sides and the included angle of one
triangle are congruent to two sides and the
included angle of another triangle, then the
triangles are congruent.

6. An example
and
explanation of
all congruence
criteria
including SAS,
SSS, ASA and
HL Part Two:
SSS
If three sides of one triangle are congruent to three sides of
another triangle, then the triangles are congruent.

7. An example
and
explanation of
all congruence
criteria
including SAS,
SSS, ASA and
HL Part Three:
ASA
If two angles and the included side of one triangle are congruent
to two angles and the included side of another triangle, then the
two triangles are congruent.

8. An example of a
transformation in
the coordinate
plane and an
explanation on
whether
congruent or
similar figures are
created and why.
This is an example of a translation to the right 5 that creates a
congruent image. These triangles are congruent because no
change to the actual shape of the triangle occurred, it was
moved across the graph. So, while the coordinates are different,
the sides and angles remain the same.

9. An example and
explanation of
all congruence
criteria including
SAS, SSS, ASA
and HL Part
Four: HL
If the hypotenuse and a leg of a right triangle are congruent to a
hypotenuse and leg of another right triangle, then the triangles
are congruent.

10. Explain the relationship between proportional sides and scale factor.
The scale factor is the ratio that determines the proportional
relationship between the sides of similar figures. If sides have the same
scale factor, then they will be proportional.

11. Create two parallel lines cut by a transversal and show and
example of all angle relationships including alternate interior,
alternate exterior, corresponding angles, vertical angles and
consecutive angles.