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| a polygon with all angles congruent |
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| a polygon with all sides congruent |
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| a triangle with at least two congruent sides |
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| a triangle with three congruent sides |
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| a triangle with no congruent sides |
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| a closed figure formed by three or more line segments in a plane, such that each line segment intersects exactly two other line segments at their endpoints only |
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| An angle is formed by _____ |
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| two rays that have the same endpoints (called the vertex) and do not lie on the same line |
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The four characteristics that a figure must have in order to qualify as a polygon include:
- must have at least ____ sides
- the sides must be _____
- the sides can ____ only at their ____
- must be a _______ that lies flat on a plane |
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Definition
- three
- straight
- intersect; endpoints
- closed figure |
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| an angle whose measure is 90 degrees |
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| an angle whose measure is less than 90 degrees |
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| an angle whose measure is greater than 90 degrees |
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| an angle whose measure is 180 degrees |
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What polygon?
Number of sides: 4 |
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| the center of a regular polygon is the point inside the polygon that is _______ |
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| equidistant from each vertex |
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| an angle formed by line segments drawn from the center of two consecutive vertices |
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| reflections, rotations, and translations are called ____ because they do not change the size or shape of a figure |
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| isometric transformations |
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| a transformation is a ___ |
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| All regular polygons have both ___ and ____ symmetry. |
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| The number of lines of symmetry in a regular polygon is equal to ____. |
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| The measure of the smallest angle by which a polygon can be rotated to look exactly like the original polygon is equal to _______. |
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| the measure of the central angle of the polygon |
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____ = 360 degrees
¯n¯
n = number of sides
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| a quadrilateral with two pairs of parallel sides |
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| a parallelogram with four congruent sides |
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| a quadrilateral with exactly one pair of parallel sides |
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| The _____ states that if you have a line and a point that is not on that line, then there is _____ through that point that is also parallel to the given line. |
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| Parallel Postulate; only one line |
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| A horizontal line is flat so its steepness is ____ |
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| The slope of a vertical line is ____. |
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| Since parallel lines have the same steepness, they have the _____. |
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| The _____ states that any two nonvertical lines are parallel if and only if _____. |
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| Parallel Lines Theorem; they have the same slope |
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| The Perpendicular Lines Theorem states that two coplanar nonvertical lines are perpendicular if and only if the product of their slopes equals ___. Any vertical line is ___ to any ____. |
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| -1; perpendicular; horizontal |
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| The coordinates of the midpoint of the line segment with endpoints (x, y) and (x2, y2) are ____ |
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Definition
(x + x2) (y + y2)
¯¯¯ , ¯¯¯
2 2 |
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| The ___ is a number that represents how steep the line is. |
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| slope of a line or line segment |
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| If the slope on a gridsystem goes up (increases) from left to right, then it is ____ -- if it decreases, or goes downhill, it is ____. |
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| ratio of __ to ___ = slope |
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| A midsegment is the segment that joins the midpoints of _____. |
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| Every triangle has __ bases and ___ midsegments -- each midsegment joins the midpoints of two sides. |
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According to the Triangle Midsegment Theorem, for any triangle:
1. The length of a midsegment is equal to ____ the length of its corresponding base.
2. A midsegment is ____ to its corresponding base. |
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| The perimeter of the triangle formed by the midsegments is equal to ___ the perimeter formed by the vertices of the original triangle. |
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| A ____ passes through the midpoint of a line segment and divides it into two congruent line segments. |
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