Triangle Theorems pt.2
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4 Terms
1
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Triangle Mid-segment Theorem
Mid-segment: **segment that connects the midpoints of two sides of a triangle**
2
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Hinge Theorem
1) **If two pairs/sets in one ∆ are congruent to the corresponding sides in another ∆**
2) **The included angles are** __**not**__ **congruent**
*Then: the larger side is across from the larger angle*
2) **The included angles are** __**not**__ **congruent**
*Then: the larger side is across from the larger angle*
3
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Converse of Hinge Thm.
1) **If two pairs/sets in one ∆ are congruent to the corresponding sides in another ∆**
2) **The third side of one ∆ is larger than the third side of another triangle**
*Then: the larger angle is across from the larger side*
2) **The third side of one ∆ is larger than the third side of another triangle**
*Then: the larger angle is across from the larger side*
4
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Hinge Theorem (Visual Aid)
Visual aid
