Download ASSIGNMENT: Types of Congruent Triangles: SSS, SAS, HL

NAME:____________________________________!
DATE: 2/15
ASSIGNMENT: Types of Congruent Triangles: SSS, SAS, HL
DIRECTIONS: Sometimes we are not told if triangles are congruent, so we must
know what exactly makes a triangle congruent. Here are two ways to find out:
Side-Side-Side (or SSS): If all the sides of a triangle are congruent, then the two
triangles are congruent. This one’s the easiest to understand.
Side-Angle-Side (or SAS): If two sides and their
INCLUDED angle are congruent, then the two
triangles are congruent. An INCLUDED angle is the
angle in between the two congruent sides.
For example: Here the pairs of congruent sides
are Side RS = Side SU and Side QS = Side ST.
Angle S = Angle S because they are vertical angles, AND Angle S is the
INCLUDED angle because it is in between the two sides.
Hypotenuse-Leg (or HL): If a hypotenuse and leg in a RIGHT triangle are
congruent to the hypotenuse and leg of another RIGHT triangle, then those two
RIGHT triangles are congruent.
1.) Is Angle N an “included” angle?
Why or Why not? ___________________________________
__________________________________________________
2.) Are Triangle JKM and Triangle LKM congruent?
Why or Why not? __________________________________
__________________________________________________
If you answered yes, are they congruent because of
SSS or SAS or AAS or ASA or HL
(circle one)
3.) Are these two triangles congruent?
Why or Why not? _____________________________________
_____________________________________________________
If you answered yes, are they congruent because of
SSS or SAS or AAS or ASA or HL
(circle one)
4.) Draw an example of two triangles that are congruent by HL below.
NAME:____________________________________!
DATE: 2/15
ASSIGNMENT: Types of Congruent Triangles: ASA and AAS
DIRECTIONS: Sometimes we are not told if triangles are congruent, so we must
know what exactly makes a triangle congruent. Here are two ways to find out:
Angle-Side-Angle (or ASA): If two triangles have two
angles and their INCLUDED side congruent, then the
two triangles are congruent. An INCLUDED side
is the side in between the two congruent angles.
Angle-Angle-Side (or AAS): If two triangles have
two angles and their NON-INCLUDED side congruent,
then the two triangles are congruent. A NON-INCLUDED
side is a side adjacent to two congruent angles.
5.) Is Side AB an “included” side? ! !
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Why or Why not? ___________________________________
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6.) Are these two triangles congruent?
Why or Why not? __________________________________
__________________________________________________
If you answered yes, are they congruent because of
SSS or SAS or AAS or ASA or HL
(circle one)
7.) Are these two triangles congruent?
Why or Why not? _____________________________________
_____________________________________________________
If you answered yes, are they congruent because of
SSS or SAS or AAS or ASA or HL
(circle one)
8.) Are these two triangles congruent?
Why or Why not? _____________________________________
_____________________________________________________
If you answered yes, are they congruent because of
SSS or SAS or AAS or ASA or HL
(circle one)
A
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C
NAME:____________________________________!
Answers:
1.) Yes.
2.) Yes.
3.) Yes.
4.) Many examples. Come tutorials if you need help.
5.) Yes.
6.) Yes.
7.) Yes.
8.) Yes.
DATE: 2/15