Term
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Definition
| If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. |
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Term
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Definition
| If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. |
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Term
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Definition
| If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. |
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Term
| Isosceles Triangle Theorem |
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Definition
| If two sides of a triangle are congruent, then the angles opposite those sides are congruent. |
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Term
| Corollary 1 to the Isosceles Triangle Theorem (Don't call it this!) |
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Definition
| An equilateral triangle is also equiangular. |
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Term
| Corollary 2 to the Isosceles Triangle Theorem (Don't call it this!) |
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Definition
| An equilateral triangle has three 60 degree angles. |
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Term
| Corollary 3 to the Isosceles Triangle Theorem (Don't call it this!) |
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Definition
| The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint. |
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Term
| Converse of the Isosceles Triangle Theorem |
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Definition
| If two angles of a triangle are congruent, then the sides opposite those angles are congruent. |
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Term
| Corollary to the Converse of the Isosceles Triangle Theorem (Don't call it this) |
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Definition
| An equiangular triangle is also equilateral. |
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Term
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Definition
| If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent. |
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Term
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Definition
| If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. |
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Term
| Theorem 4.5 (don't call it this) |
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Definition
| If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment. |
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Term
| Theorem 4.6 (don't call it this) |
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Definition
| If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment. |
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Term
| Theorem 4.7 (don't call it this) |
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Definition
| If a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle. |
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Term
| Theorem 4.8 (don't call it this) |
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Definition
| If a point is equidistant from the sides of an angle, then the point lies on the bisector of the angle. |
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Term
| Definition of a line perpendicular to a plane |
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Definition
| If a line and a plane intersect and the line is perpendicular to all lines in the plane that pass through the point of intersection. |
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Term
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Definition
| A segment from the vertex to the midpoint of the opposite side. |
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Term
| Definition of an Altitude |
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Definition
| The perpendicular segment from a vertex to the line that contains the opposite side. |
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Term
| Definition of a perpendicular bisector |
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Definition
| A line (or segment or ray) that is perpendicular to the segment at its midpoint. |
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