Flashcards in chapter 5 Deck (14)

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## segment connecting the midpoints of two sides of the triangle

### mid segment of a triangle

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## theorem- if a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long

### 5-1 triangle mid segment theorem

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## a point from two objects that is the same distance from both objects

### equidistant

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## theorem- if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoint if the segment

### 5-2 perpendicular bisector theorem

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## theorem- if a point is equidistant from the endpoints of the seventh then is on the perpendicular bisector of a segment

### 5-3 converse perpendicular bisector theorem

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## theorem- if a point is on the bisector of an angle, then the points is equidistant from the sides of the angle

### 5-4 angle bisector theorem

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## theorem- if a point in the interior of an angle is equidistant from the side of the angle, then the point is on the angle bisector

### 5-5 converse angle bisector theorem

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## when three or more lines intersect at one point

### concurrent

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## the pint at which they interest

### point of concurrency

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## theorem- the perpendicular bisectors of a triangle are congruent at a point equidistant from the vertices

### 5-6 concurrency of perpendicular bisectors theorem

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## the point of concurrency of the perpendicular bisector of a triangle

### circumcenter

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## the circumcenter of a triangle can be

### inside outside or on a triangle

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## the point of concurrency of the angle bisectors of a triangle

### incenter of the triangle

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