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20 questions
It is called the HINGE theorem, because...
the vertex of the angle acts like a hinge to open the triangle.
it's named after Joseph Hinge, the man who discovered it.
"hinge" is the Spanish word for angle.
the triangle makes a hinge shape, like a tent.
Compare m∠ACD and m∠GDE
m∠ACB > m∠GDE
m∠ACD < m∠GDE
m∠ACB = m∠GDE
∠ACB ≅ ∠GDE
Compare QT and ST
QT < ST
QT > ST
QT = ST
QT ≅ ST
Find the range of possible values for x.
27<x<24
x<6
24<x
211<x<6
Find the range of possible values of x.
35<x<8
−23<x>8
332<x<27
27<x<37
Find the range of possible values for x.
2 <x<6
6<x<15 31
6<x<22
2<x<22
Find the range of possible values of x.
−20<x<21
8<x<37
34<x<37
8<x<24
Find the range of possible values for x
x>7
−317<x>7
−317<x<7
x<7
Which inequality relates ∠FBG and ∠BFA ?
m∠FBG <m∠BFA
m∠FBG >m∠BFA
m∠FBG ≥m∠BFA
m∠FBG ≤m∠BFA
Which inequality relates ∠GBC and ∠FBA ?
m∠GBC <m∠FBA
m∠GBC > m∠FBA
m∠GBC ≤ m∠FBA
m∠GBC ≥ m∠FBA
Four students are doing a scavenger hunt starting at the water fountain. They disagree one the directions and split up. Their paths are shown in the diagram. Which pair is closest to the fountain when they stop?
Luther and Stephanie
Mario and Lee
BC _____ EF
<
>
=
No conclusion can be made.
What are the possible values for x?
x < 16
4 < x < 16
x < 40
4 < x < 40
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