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Definition
| Figures, one of which is the image of the other under a reflection or a composite of reflections. (Same Shape and Size) |
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Term
| Congruence transformation |
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Definition
| A transformation that is a reflection or composite of reflections (an isometry). |
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Definition
| Figures that are congruent and have the same orientation. |
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Definition
| Figures that are congruent and have opposite orientation. |
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Definition
| A triangle with an obtuse angle. |
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Definition
| A triangle with a right angle. |
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Definition
| A triangle with all acute angles. |
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Definition
| Parts in the same location when looking at a set of angles or sides. |
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Term
| Alternate Interior Angles |
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Definition
| Angles between two parallel lines that are cut by a transversal and are on opposite sides of the transversal. These angles are congruent. |
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Term
| Alternate Exterior Angles |
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Definition
| Angles outside of the parallel lines cut by a transversal and on opposite sides of the transversal. These angles are Congruent. |
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Term
| Corresponding Angles Postulate |
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Definition
| Corresponding angles have the same measure if and only if the lines are parallel. |
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Definition
| Every isometry preserves Angle measure, Betweenness, Collinearity (lines), and Distance (lengths of segments). |
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| Reflexive Property of Congruence |
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Definition
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| Symmetric Property of Congruence |
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Definition
| If F is congruent to G, then G is congruent to F. |
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| Transitive Property of Congruence |
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Definition
| If F is congruent to G and G is congruent to H, then F is congruent to H. |
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| Segment Congruence Theorem |
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Definition
| Two segments are congruent if and only if they have the same length (distances are equal). |
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Term
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Definition
| Two angles are congruent if and only if their measures are equal. |
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Term
Corresponding Parts in Congruent Figures
CPCF Theorem |
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Definition
| If two figures are congruent, then any pair of corresponding parts are congruent. |
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Definition
| The sum of the measures of the angles of any triangle is 180º. |
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Definition
| The sum of the measures of the angles in a convex quadrilateral is 360º. |
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Definition
| The sum of the measures of the angles of a convex n-gon is (n-2)•180. |
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| Polygon Exterior Angle Sum |
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Definition
| The sum of the measures of all the exterior angles of a convex n-gon, is 360º. |
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Term
| Perpendicular Bisector Theorem |
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Definition
| If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. |
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