3.6 Triangle Congruence Proofs Important Concepts Flashcards

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∠𝐡𝐢𝐴 ≅ ∠𝐷𝐢𝐴
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because vertical angles are congruent
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Μ…Μ…Μ…Μ…Μ…
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because it is a shared side between the two
triangles. The reflexive property tells us
that the side can be congruent to itself.
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Name a pair of sides
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∠𝐺𝐹𝐻 ≅ ∠𝐼𝐹𝐻
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because of the definition of bisect.
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(Remember, bisect means to cut in half, so
the line segment FH is cutting the angle GFI in
two congruent parts)
Μ…Μ…Μ…Μ… bisects ∠𝐺𝐹𝐼. State the conclusion you can
𝐹𝐻
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because of the definition of midpoint.
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Μ…Μ…Μ…Μ…Μ… ≅ Μ…Μ…Μ…Μ…
π‘Šπ‘‹
π‘Œπ‘‹
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X
(Remember, a midpoint divides a segment
into two congruent parts.)
Y
X is the midpoint of Μ…Μ…Μ…Μ…Μ…
π‘Šπ‘Œ. State the conclusion
you can make AND the reason why.
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MUST KNOW FLASHCARDS
SSS (Side Side Side) Postulate
State the postulate by which you know the
two triangles are congruent.
SAS (Side Angle Side) Postulate
State the postulate by which you know the
two triangles are congruent.
AAS (Angle Angle Side) Postulate
State the postulate by which you know the
two triangles are congruent.
ASA (Angle Side Angle) Postulate
State the postulate by which you know the
two triangles are congruent.
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∠4 ≅ ∠2
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because they are alternate interior
angles (remember… the lines are
PARALLEL!)
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Μ…Μ…Μ…Μ… βˆ₯ 𝐡𝐢
Μ…Μ…Μ…Μ… . State the conclusion you can
𝐴𝐷
make AND
the reason why. The
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conclusion should be about ANGLES.
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Hypotenuse-Leg Theorem (HL)
State the theorem by which you know
these two triangles are congruent.
If the hypotenuse and a leg of a right
triangle are congruent to the hypotenuse
and a leg of another right triangle then
the triangles are congruent.
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Step 1: ∠π‘Š and ∠π‘Œ are right angles
because of the definition of
perpendicular (remember the ⊥ symbol
means perpendicular)
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Μ…Μ…Μ…Μ…Μ…
Μ…Μ…Μ…Μ…Μ… and Μ…Μ…Μ…Μ…Μ…
π‘Šπ‘Œ ⊥ π‘‰π‘Š
π‘Šπ‘Œ ⊥ Μ…Μ…Μ…Μ…
π‘π‘Œ
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State the conclusion you can make AND
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the reason why.
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Step 2: ∠π‘Š ≅ ∠π‘Œ because all right
angles are congruent
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