Stepp's Prentice Hall Geometry Chapter 5 - Relationships Within Triangles
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
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| If a point is on the angle bisector of an angle, then it is___ from the sides of the angle | equidistant
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| If a point is equally distant from the endpoints of a segment, then it is on the ___ of the segment | perpendicular bisector
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| If a point is on the perpendicular bisector of a segment, then it is ___ from the endpoints | equidistant
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| The shortest distance from a point to a line is measured along the ___ from the point to the line | perpendicular
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| 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.)
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| True or False: an isosceles triangle can not have three congruent angles | False ( it has at least 2 congruent sides)
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| The centroid is the point where the three ___ intersect | medians
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| The orthocenter is the point where the three ___ intersect | altitudes
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| The incenter is the point where the three ___ intersect | angle bisectors
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| The circumcenter is the point where the three ___ intersect | perpendicular bisectors
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| The centroid is the center of ___. | gravity
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| An inscribed circle in a triangle has its center at the ___ | incenter
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| A circle that is circumscribed about a triangle has its center at the ___. | circumcenter
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| Concurrent lines are lines that intersect in a ___ | single point
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| the ___ is equidistant from the sides of a triangle | incenter
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| the ___ is equidistant from the three vertices of a triangle | circumcenter
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| the ___ is the center of a circle that passes thru each vertex of a triangle | circumcenter
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| the ___ is the center of a circle that interesect each side of a triangle once | incenter
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| 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
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| distance is always measured ____ | along a perpendicular
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| Medians extend from a ___ to the ___ of the opposite side | vertex, midpoint
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| Altitudes extend thru a ___ and are perpenducular to the ___ | vertex, the line containing the opposite side
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| The centroid is ___ the distance from each vertex to the midpoint of each side | two thirds (2/3)
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| The altitudes meet at the ___ | orthocenter
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| ___ and ___ are always inside the triangle | centroids, incenters
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| If a point of concurrency is outside a triangle, the triangle is ___ | obtuse
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| adding the word "NOT" is how you ___ a statement | negate
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| to negate a conditional statement you must add two ___ | "Nots"
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| ~p implies ~q is the ___ | inverse
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| ~q implies ~p is the ___ | contrapositve
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| To get the inverse, just ___ the original conditional statement | negate
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| To get the contrapositive, just ___ and ___ the original conditional | reverse, negate
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| When you assume the opposite (negation) to be true and show a contradiction exists to prove a statement, you have used ____ reasoning | indirect
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| The longest side in a triangle is across from the ___ | largest angle
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| the shortest side in a triangle is across from the ___ | shortest angle
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| For a triangle to be possible, the two shortest sides must ___ | have a sum greater than the longest side
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