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Geometry Ch 5

Stepp's Prentice Hall Geometry Chapter 5 - Relationships Within Triangles

QuestionAnswer
If a point is on the angle bisector of an angle, then it is___ from the sides of the angle equidistant
If a point is equally distant from the endpoints of a segment, then it is on the ___ of the segment perpendicular bisector
If a point is on the perpendicular bisector of a segment, then it is ___ from the endpoints equidistant
The shortest distance from a point to a line is measured along the ___ from the point to the line perpendicular
True or False: If a point is equally distant from the endpoints of a segment , then it must be the midpoint of the segment False ( it must be on the perp. bis.)
True or False: an isosceles triangle can not have three congruent angles False ( it has at least 2 congruent sides)
The centroid is the point where the three ___ intersect medians
The orthocenter is the point where the three ___ intersect altitudes
The incenter is the point where the three ___ intersect angle bisectors
The circumcenter is the point where the three ___ intersect perpendicular bisectors
The centroid is the center of ___. gravity
An inscribed circle in a triangle has its center at the ___ incenter
A circle that is circumscribed about a triangle has its center at the ___. circumcenter
Concurrent lines are lines that intersect in a ___ single point
the ___ is equidistant from the sides of a triangle incenter
the ___ is equidistant from the three vertices of a triangle circumcenter
the ___ is the center of a circle that passes thru each vertex of a triangle circumcenter
the ___ is the center of a circle that interesect each side of a triangle once incenter
If a segment in a triangle joins the midpoints of two sides, then the segment is ___ to the third side and ____ its length Parallel, half
distance is always measured ____ along a perpendicular
Medians extend from a ___ to the ___ of the opposite side vertex, midpoint
Altitudes extend thru a ___ and are perpenducular to the ___ vertex, the line containing the opposite side
The centroid is ___ the distance from each vertex to the midpoint of each side two thirds (2/3)
The altitudes meet at the ___ orthocenter
___ and ___ are always inside the triangle centroids, incenters
If a point of concurrency is outside a triangle, the triangle is ___ obtuse
adding the word "NOT" is how you ___ a statement negate
to negate a conditional statement you must add two ___ "Nots"
~p implies ~q is the ___ inverse
~q implies ~p is the ___ contrapositve
To get the inverse, just ___ the original conditional statement negate
To get the contrapositive, just ___ and ___ the original conditional reverse, negate
When you assume the opposite (negation) to be true and show a contradiction exists to prove a statement, you have used ____ reasoning indirect
The longest side in a triangle is across from the ___ largest angle
the shortest side in a triangle is across from the ___ shortest angle
For a triangle to be possible, the two shortest sides must ___ have a sum greater than the longest side
Created by: criswell216