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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
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