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# Geometry Constr

### Stepp's Geometry constructions

Question | answer |
---|---|

A compass establishes ___ | equidistance |

a straightedge establishes ___ | collinearity |

a ____ is noncollapseable | theoretical compass |

a straightedge has no ___ | measurement marks |

a part of a circle is called a(n)___ | arc |

a construction must use only ___ tools | 2 (compass & straightedge) |

a ___ arc can be any size | random |

A _____ is drawn carefully & accurately using protractor and straightedge | drawing |

A ___ is a freehand sketch of a figure; no construction tools used | sketch |

If a point is on the perpendicular bisector of a segment, then it is ___ from the endpoints | equidistant |

If a point is equally distant from the endpoints of a segment, then it is on the ___ of the segment | perpendicular bisector |

The shortest distance from a point to a line is measured along the ___ from the point to the line | perpendicular |

If a point is on the angle bisector of an angle, then it is___ from the sides of the angle | equidistant |

If two angles are vertical angles, then they are ___ | congruent |

a circle is just the set of all points that are ___ from a certain point | equidistant |

a single intersection consists of __ | a single point |

True or False: A protractor is a construction tool | False |

True or False: You can use measurements when making a construction | False |

True or False: a compass is used to copy distance | True |

True or False: A sketch uses no tools | True |

True or False: a geometric construction uses a protractor and a ruler | False (compass and straightedge) |

True or False: a diagonal is a segment in a polygon connecting any two vertices | False (any two nonconsecutive) |

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: It is possible for a kite to have three congruent sides | False |

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 |

best way to construct a parallel through a point to a line | make transversal, then copy the angle |

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 circls 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 |

To construct a 60 degree angle you must ___ | construct an equilateral triangle |

To construct a 90 degree angle you must ___ | bisect a segment |

To get a 30 degree angle __ | construct a 60 then bisect it |

to construct a 45 degree angle __ | construct a 90, then bisect it |

Created by:
criswell216