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Congruent
Triangles
Review
Honors Geometry
CCHS
Which rule proves the triangles
congruent?
ASA
What rule proves the triangles
congruent?
SAS
What rule proves the triangles
congruent?
Not enough
information
(SSA labeling)
What rule proves the triangles
congruent?
Given:
𝑨𝑩 β‰… 𝑩π‘ͺ
𝑩𝑫 π’ƒπ’Šπ’”π’†π’„π’•π’” < 𝑨𝑩π‘ͺ
SAS
What rule proves the triangles
congruent?
Not enough
information
(AAS labeling)
What rule proves the triangles
congruent?
Given: < 𝑾 β‰…< 𝑲
𝑾𝑽 β‰… 𝑽𝑲
ASA
One Step Proof:
Given:
< π‘π‘Šπ‘‹ β‰…< π‘‹π‘Œπ‘
< π‘‹π‘Šπ‘Œ β‰…< π‘π‘Œπ‘Š
Prove:
< π‘π‘Šπ‘Œ β‰…< π‘‹π‘Œπ‘Š
Subtraction Property
One Step Proof
Given:
<1 comp. <4
<2 comp. <3
< 𝟏 β‰…< 𝟐
Prove:
< 3 β‰…< 4
If angles are
complementary to
congruent angles,
then they are
congruent
One Step Proof
Given:
π‘Šπ‘Œ β‰… 𝑋𝑍
Prove:
WX β‰… YZ
Subtraction
Property
One Step Proof:
Given:
𝐷𝑀 β‰… 𝑁𝐹
M and N are mdpts
Prove:
DG β‰… FG
Multiplication
Property
Chapter 3 Tips
ο‚› Labeling
Congruent Triangles: Follow
around the perimeter of a labeled
triangle
ο‚› Review Properties (sec. 2.4-2.7 in book)
ο‚› Proofs: LABEL DIAGRAMS!!!
ο‚› Proofs: Include all labeling steps in proof
ο‚› Triangle Congruence Proofs: Make sure
you have THREE CONGRUENCE
statements! (Label S and A)
ο‚› Proofs: Make sure you have satisfied
requirements of IF statements before
including a step.
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