Download Word - Triangle Congruence Shortcuts

Curi Yutzy
ECOMP 5007
Anything that is in red
throughout this lesson
indicates that a student
action is needed.
Objectives
The students will know three of the triangle
congruence shortcuts.
The students will be able to identify if two
given triangles are congruent and give the
congruence shortcut that is applicable.
We use different “marks” to designate
congruent angles and congruent sides
within triangles
Click on either box and move it
to find our the “marks” for
congruent angles and segments.
We know that these two angles
are congruent because they have
a mark through the angles arc
Congruent
Angles
We know that these two segments
are congruent because they have a
mark through the segment
Congruent
Segments
Sometimes we have more than one angle or
segment that is congruent so we just add an
extra “mark” to the angle or the segment
Use the segment tool on the
drawing toolbar to add two
“marks” to the segments that are
congruent.
You should have placed two “marks” on
each of the longer segments
(See Below)
Triangle Congruence Shortcuts
SSS (Side, Side, Side)
Click on each
segment in the box
on the right and
move and rotate
them until you have
created a triangle
that is congruent to
the one on the left.
A green circle will
appear when you
click on a segment.
Grab the green
circle to rotate the
segment.
Triangle Congruence Shortcuts
SSS (Side, Side, Side)
No matter how you arrange the segments or how you
rotate the triangle, the two triangles will be
congruent when you have 3 sides that are the same!
Triangle Congruence Shortcuts
SAS (Side, Angle, Side)
Click on each segment and angle in the box on
the right and move and rotate them until you
have created a triangle that is congruent to the
one on the left. BE SURE TO OVERLAP the
correct segments over the angle that is given.
The last step is to use the drawing toolbar to
create the remaining side.
Triangle Congruence Shortcuts
SAS (Side, Angle, Side)
No matter how you arrange the segments and the angle
or how you rotate the triangle, the two triangles will be
congruent when you have 2 sides and the angle that is in
between them that are the same!
Triangle Congruence Shortcuts
ASA (Angle, Side, Angle)
Click on each segment and angle in the box on
the right and move and rotate them. BE
SURE TO OVERLAP the correct segments
over the angles that are given. The last step is
to use the drawing toolbar to create the
remaining sides.
Triangle Congruence Shortcuts
ASA (Angle, Side, Angle)
No matter how you arrange the segment and the angles
or how you rotate the triangle, the two triangles will be
congruent when you have 2 angles and the side that is in
between them that are the same!