Geometry Unit 5
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| Midsegment | Of a triangle is a segment connecting themidpoints of two sides.
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| Triangle Midsegment Theorem | If a segment joins the midpoints of two sides of a triangle, then thesegments is parallel to the third side, and is half its length.
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| Perpendicular Bisector Theorem | If a point is on the perpendicular bisector of a segment, then it is equidistantfrom the endpoints of the segment.
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| Converse Of the Perpendicular Bisector Theorem | If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
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| Angle Bisector Theorem | If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.
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| Converse of the Angle Bisector Theorem | If a point in the interior of an angle is equidistant from the sides ofthe angle, then the point is on the angle bisector.
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| Concurrent | when three or more lines intersect in one point
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| Point of Concurrency | the point at which they intersect
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| Theorem 5.6 | The measure of the exterior angle of a triangle is greater than themeasure of each of its remote interior angles.
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| Theorem 5.7 | If two sides of a triangle are not congruent,then the larger angle lies opposite the longer side.
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| Circumcenter of the Triangle | The point of intersection of three perpendicular bisectors.
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| Incenter of the Triangle | The point of intersection of the angle bisectors in a triangle.
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| Median of a triangle | Connects a vertex with the midpoint of the opposite side.
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| Centroid | Point where the medians intersect.
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| Altitude of a Triangle | A perpendicular segment from a vertex of a triangle to the opposite side.
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| Orthocenter of the Triangle | The point of intersection between to altitudes in a triangle.
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| Corollary to the Triangle Exterior Angle Theorem | The measure of the exterior angle of a triangle is greater than the measure of each of its remote interior angles.
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| Theorem 5.10 | If two sides of a triangle are not congruent,then the larger angle lies opposite the longer side.
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| Theorem 5.11 | If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle.
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| Triangle Inequality Theorem | The sum of thelengths of any two sides of a triangle is greater than the lengthof the third side.
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
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Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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