Stepp's Geometry constructions
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| A compass establishes ___ | equidistance
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| a straightedge establishes ___ | collinearity
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| a ____ is noncollapseable | theoretical compass
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| a straightedge has no ___ | measurement marks
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| a part of a circle is called a(n)___ | arc
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| a construction must use only ___ tools | 2 (compass & straightedge)
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| a ___ arc can be any size | random
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| A _____ is drawn carefully & accurately using protractor and straightedge | drawing
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| A ___ is a freehand sketch of a figure; no construction tools used | sketch
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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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| 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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| The shortest distance from a point to a line is measured along the ___ from the point to the line | perpendicular
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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 two angles are vertical angles, then they are ___ | congruent
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| a circle is just the set of all points that are ___ from a certain point | equidistant
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| a single intersection consists of __ | a single point
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| True or False: A protractor is a construction tool | False
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| True or False: You can use measurements when making a construction | False
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| True or False: a compass is used to copy distance | True
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| True or False: A sketch uses no tools | True
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| True or False: a geometric construction uses a protractor and a ruler | False (compass and straightedge)
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| True or False: a diagonal is a segment in a polygon connecting any two vertices | False (any two nonconsecutive)
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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: It is possible for a kite to have three congruent sides | False
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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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| best way to construct a parallel through a point to a line | make transversal, then copy the angle
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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 circls 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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| To construct a 60 degree angle you must ___ | construct an equilateral triangle
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| To construct a 90 degree angle you must ___ | bisect a segment
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| To get a 30 degree angle __ | construct a 60 then bisect it
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| to construct a 45 degree angle __ | construct a 90, then bisect it
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