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# Geometry Ch 5

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

Question | Answer |
---|---|

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