Prove Triangle Congruence
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
Standards-aligned
Jacqueline Sims
Used 975+ times
FREE Resource
10 Slides • 11 Questions
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Prove Triangle Congruence
Criteria for Proving that two triangles are congruent
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Instead of having to prove all three sides and all three angles are ≌, we have combinations of sides and angles that will work to prove triangles are ≌
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SSS
All three pairs of corresponding sides are congruent
All three sides have to marked as congruent
or
The triangles have to share a common side (reflexive property)
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Multiple Choice
Does SSS prove the Triangles congruent?
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Multiple Choice
Does SSS prove the triangles are congruent?
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SAS
Two sides are congruent
and
The included angles are congruent
(included angle means between between the two congruent sides)
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Multiple Choice
Does SAS prove the triangles are congruent?
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Multiple Choice
Does SAS work to prove the triangles are congruent?
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Remember, vertical angles are ALWAYS CONGRUENT
So, when you see them mark them as congruent.
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ASA
Two pair of conguent ANGLES
One pair of congruent included sides (included side means side between the two angles)
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Multiple Choice
Does ASA work to prove the triangles are congruent?
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Multiple Choice
Does ASA work to prove the triangles are congruent?
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AAS
Two congruent angles
and
A non-included side (the congruent sides are not between the congruent angles)
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Multiple Choice
Does AAS work to prove the triangles are congruent?
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Multiple Choice
Does AAS work to prove the triangles are congruent?
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Multiple Choice
Which pair is not an example of AAS
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HL (Hypotenuse Leg)
Used with right ∆'s only
One leg is marked a congruent
and
the hypotenuse is marked as congruent
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Multiple Choice
Does HL work to prove the triangles are congruent?
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Multiple Choice
Does HL work to prove the triangles are congruent?
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Prove Triangle Congruence
Criteria for Proving that two triangles are congruent
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