# data[].attributes.headline
what is the sum of all the exterior angles of ANY SHAPE? 

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what is the sum of all the exterior angles of ANY SHAPE? 

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find a pic of each

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find a pic of each

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what about special cases like equilateral and isosceles?

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what about rectangles? squares?

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what about regular pentagons?

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how do you calculate any exterior angle? 

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how do you calculate any exterior angle? 

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what is the exterior angle of a triangle theorem? 

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what is the exterior angle of a triangle theorem? 

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how can you use the fact above to calculate an interior angle? 

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how can you use the fact above to calculate an interior angle? 

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the slopes of perpendicular lines must be...

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the slopes of perpendicular lines must be...

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if our lines are perpendicular, and my line's slope is 5/4, what is the slope of your line?

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what if you multiplied those two slopes together? 

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what if you multiplied those two slopes together? 

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is this a coincidence or a property?

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the length of the third side of a triangle must always be between the _____ and the _____ of the lengths of the other two sides

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the length of the third side of a triangle must always be between the _____ and the _____ of the lengths of the other two sides

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if one log is 20 feet and another is 30 feet, what is the range of possible sides for the third side in order to form a triangle?

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the 3 medians of any triangle always intersect at a point called the ...

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the 3 medians of any triangle always intersect at a point called the ...

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the 3 altitudes of any triangle always intersect at a point called the ...

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the 3 altitudes of any triangle always intersect at a point called the ...

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the 3 angle bisectors of any triangle always intersect at a point called the ...

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the 3 angle bisectors of any triangle always intersect at a point called the ...

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the 3 perpendicular bisectors of any triangle always intersect at a point called the ...

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the 3 perpendicular bisectors of any triangle always intersect at a point called the ...

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a midsegment connects the _____ of any two sides of a triangle.

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a midsegment connects the _____ of any two sides of a triangle.

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it's always _____ to the other side.
this creates _____ triangles.

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a centroid always divides a median into a _____:_____ ratio

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a centroid always divides a median into a _____:_____ ratio

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when will the perpendicular bisectors intersect outside the triangle?

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when will the perpendicular bisectors intersect outside the triangle?

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how do you calculate the length of a segment?

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how do you calculate the length of a segment?

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HINT: HOW WOULD THIS HELP YOU CLASSIFY A TRIANGLE?

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what do you know about perpendicular lines?

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what do you know about perpendicular lines?

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THINK MINI-PROOF

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what do you know about the slopes of ⟂ lines? 

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what do you know about the slopes of ⟂ lines? 

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THERE'S A WHOLE COLUMN ON ⟂ LINES

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once you have the slopes, what are you looking for? 

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once you have the slopes, what are you looking for? 

# data[].attributes.headline
formula for the interior angle sum of any polygon

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formula for the interior angle sum of any polygon

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how do you use that formula to calculate an individual angle?

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how do you use that formula to calculate an individual angle?

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HINT: IT WOULD EITHER NEED TO BE A REGULAR POLYGON or YOU KNOW ALL BUT ONE OF THE ANGLES.

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if a polygon is regular, what does that mean about its... 

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if a polygon is regular, what does that mean about its... 

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sides?
angles?

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equilateral triangles have 3 equal sides 

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equilateral triangles have 3 equal sides 

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(equilateral think "equal all")

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need a graph

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the exterior angle of a triangle theorem

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the exterior angle of a triangle theorem