Ch. 6 First Quiz Flashcards

1
Q

Equidistant

A

Same distance around the figure

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2
Q

Perpendicular Bisect Theorem

A

If a point is on a perpendicular bisect of a segment, then the point is equidistant from the ends of the segment.

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3
Q

Converse Perpendicular Bisect Theorem

A

If a point is equidistant from the end points of a segment, then it lies on the perpendicular bisector of the segment.

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4
Q

Angle Bisector Theorem

A

If a point is on the bisect of an angle, then the point is equidistant from the sides of the triangle.

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5
Q

Converse Angle Bisector Theorem

A

If a point is equidistant from the sides of an angle, then the point lies on the angle bisector.

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6
Q

Concurrent Lines

A

Lines that intersect at the same point

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7
Q

Point of Concurrency

A

Point where concurrent lines meet

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8
Q

Circumcenter

A

The pt. concurrency of PERPENDICULAR BISECTORS

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9
Q

Circumcenter Theorem

A

The circumcenter of a triangle is equidistant from the vertices of the triangle.

The circumcenter is the center of a circle that goes !around! the triangle.

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9
Q

Incenter

A

The point of concurrency of angle bisectors.

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10
Q

Incenter Theorem

A

The incenter of a triangle is equidistant from the sides of a triangle.
The incenter is the center of a triangle that goes !inside! the triangle.

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11
Q

Median of Triangle

A

A segment that starts at a vertex and ends at the midpoint of a side of a triangle.

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12
Q

Centroid

A

The point of concurrency of medians.

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13
Q

Centroid Theorem

A

The medians of a triangle intersect to form a point that is 2/3 the distance from the vertex to the midpoint of the opposite side.

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13
Q

Centroid Theorem

A

The medians of a triangle intersect to form a point that is 2/3 the distance from the vertex to the midpoint of the opposite side.

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14
Q

Centroid Hack

A

Smallest Median- X
Middle Median- 2X
Largest Median- 3X
Find x first

15
Q

Altitude

A

The perpendicular segment from the vertex to the opposite side

16
Q

Orthocenter

A

The point where the altitudes meet

17
Q

Circumcenter Concurrency

A

Pt. of concurrency changes
Acute- In
Right- On
Obtuse- Outside

18
Q

Incenter Concurrency

A

Pt. of concurrency does not change
Always inside

19
Q

Centroid Concurrency

A

Pt. of concurrency does not change
Always inside

20
Q

Altitude Concurrency

A

Pt. of concurrency changes
Acute- In
Right- On
Obtuse- Out

21
Q

Orthocenter Concurrency

A

Pt. of concurrency changes
Acute- In
Right- On
Obtuse- Out