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S. McMurtrie
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DATE ______________________________
Geometry
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Relationships within Triangles
CURRENT UNIT
Chapter 4: Congruent Triangles
4.1 Homework
G.1.2.1.1;
4.2 Homework
G.1.2.1.1; G.1.3.1.1
4.3 Homework
4.1 Apply
Triangle Sum
Properties
M11.C.1.2.1
G.1.2.1.1; G.1.3.1.1
4.4 Homework
G.1.2.1.1; G.1.3.1.1
Quiz Quiz 4.1-4.4
4.2 Apply
Congruence
and Triangles
4.7 Use
Isosceles and
Equilateral
Triangles
Proving that two triangles are
congruent and recognizing
congruent triangles in daily
applications
M11.C.1.2.1; M11.C.1.2.3
Pages 214-291
4.6 Use
Congruent
Triangles
M11.C.1.2.1
4.5 Homework
G.1.2.1.1; G.1.3.1.1
M11.C.1.2.1
4.6 Homework
G.1.2.1.1; G.1.3.1.1
4.7 Homework
G.1.2.1.1; G.1.2.1.3
Rev Review Worksheet
4.3 Prove
Triangles
Congruent by
SSS
M11.C.1.2.1
4.4 Prove
Triangles
Congruent by
SAS and HL
M11.C.1.2.1
4.5 Prove
Triangles
Congruent by
ASA and AAS
M11.C.1.2.1
7
How can you find the measure of the third angle of a triangle if you know the measure of the
other two angles? (2.9)
What are congruent figures? (2.9)
How can you prove two triangles are congruent? (2.9)
If a side of one triangle is congruent to a side of another triangle, what information about the
angles would allow you to prove the triangles are congruent? (2.9)
How can you use congruent triangles to prove angles or sides congruent? (2.9)
How are sides and angles of a triangle related in isosceles and equilateral triangles? (2.9)
(13.1.11B)
cause/effect
examples
steps
6
UNIT
RELATIONSHIPS
UNIT SELF-TEST
QUESTIONS
Test Chapter 4 Test
NAME _____________________________
The Unit Organizer
Chapter 4: Congruent Triangles
DATE ______________________________
9 EXPANDED UNIT MAP
4.7 Use
Isosceles and
Equilateral
Triangles
4.1 Apply
Triangle Sum
Properties
Triangle – a 3-sided polygon
Scalene – no congruent sides
Isosceles – at least 2 congruent
sides
Equilateral – all sides
congruent
Acute – all angles less than 90
Right – exactly one angle of 90
Obtuse – exactly one angle
greater than 90
Equiangular – all angles
congruent
Interior angles – all angles
inside the triangle
Exterior angle – an angle
formed by extending the side of
a triangle
Triangle Sum Theorem – All
interior angles sum to 180
Exterior Angle Theorem – An
exterior angle is equal to the
sum of the remote interior
angles
Corollary to the Triangle
Sum Theorem – The acute
angles of a right triangle are
complementary
NEW
UNIT
SELF-TEST
QUESTIONS
10
4.2 Apply
Congruence
and Triangles
Proving that two triangles are
congruent and recognizing congruent
triangles in daily applications
4.6 Use
Congruent
Triangles
Pages 214-291
Congruent figures –
4.3 Prove
all sides and angles of
Triangles
the two figures are
Congruent
congruent
Corresponding parts –
by SSS
the parts that match in
two congruent figures
Third Angles
Theorem – If two
angles in one triangle SSS Postulate– If three sides
are congruent to two of one triangle are congruent
to three sides of another
angles of another
triangle then the third triangle then the triangles are
congruent
angles are also
congruent
4.4 Prove
Triangles
Congruent by
SAS and HL
SAS Theorem– 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
HL Theorem – If the hypotenuse
and a leg of a right triangle are
congruent to the hypotenuse and a
leg of a second right triangle then
the two triangles are congruent
4.5 Prove
Triangles
Congruent by
ASA and AAS
ASA Theorem – 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
AAS Theorem – If two
angles and a non-included
side of one triangle are
congruent to two angles
and a non-included side of
another triangle then the
two triangles are congruent
CPCT –
Corresponding
Parts of
Congruent
Triangles are
Congruent
Legs – the congruent sides
of an isosceles triangle
Vertex angle – the angle
formed by the legs of an
isosceles triangle
Base – the non-congruent
side of an isosceles triangle
Base angles – the two
angles adjacent to the base
If a triangle is equilateral,
then it is equiangular
If a triangle is equiangular,
then it is equilateral
What are the shortcuts to prove that two triangles are congruent? What one only works for right triangles?
What does CPCT stand for?
Where would you find congruent triangles outside of school?