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 |