Relatonships in Triangles - Midsegments, Concurrent Lines, etc.
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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| If a point lies on the perpendicular bisector of a segment, then... | it is equidistant from endpoints of the segment.
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| If a point is equidistant from the endpoints of a segment, then... | it lies on the perpendicular bisector of the segment.
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| If a point lies on the bisector of an angle, then... | it is equidistant from the sides of the angle.
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| If a point is equidistant from the sides of an angle, then... | it lies on the bisector of the angle.
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| The segment joining the midpoints of two sides of a triangle is called the... | midsegment.
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| If a segment joins the midpoints of two sides of a triangle, then... | it is parallel to the third side and half its length.
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| The perpendicular bisectors of a triangle are concurrent at a point... | equidistant from the vertices (circumcenter)
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| The angle bisectors of a triangle are concurrent at a point... | equidistant from the sides (incenter).
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| The medians of a triangle are concurrent at a point... | that is two thirds the distance from each vertex to the midpoint on the opposite side (centroid).
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| The altitudes of a triangle are concurrent at the... | orthocenter.
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| The perpendicular bisectors of a triangle are... | the lines that are perpendicular to the sides at their midpoints.
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| The angle bisectors of a triangle are... | the lines that bisect each vertex.
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| The medians of a triangle are... | the segments which connect each vertex with the midpoint of the opposite side.
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| The altitudes of a triangle are... | the lines that travel through each vertex and are perpendicular to the opposite side.
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| If two sides of a triangle are not congruent, then... | the longer side lies opposite the larger angle.
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| If two angles in a triangle are not congruent, then... | the larger angle lies opposite the longer side.
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| The measure of an exterior angle of a triangle is equal to... | the sum of the measures of the two remote interior angles.
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Created by:
mburke79
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