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
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Definition
| An equilateral triangle is also equiangular |
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Definition
| An equiangular triangle has three 60° angles |
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Term
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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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Definition
| If two angles of a triangle are congruent, then the sides opposite those angles are congruent |
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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 the corresponding parts 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 corresponding parts of another right triangle then the triangles are congruent |
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Term
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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
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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
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Definition
| If a point lies on the bisector of an angle, then the point is equidisrant from the side of the angle |
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Term
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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
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Definition
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Term
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Definition
| Opposite sides of a parallelogram are congruent |
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Term
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Definition
| Opposite angles of a parallelogram are congruent |
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Term
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Definition
| Diagnals of a parallelogram bisect each other |
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Term
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Definition
| If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram |
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Term
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Definition
| If one pair of opposite sides of a quadrilateral both congruent and parallel, then the quadrilateral is a parallelogram |
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Term
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Definition
| If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram |
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Term
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Definition
| If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram |
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Term
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Definition
| If two lines are parallel, then all points on one line are equidistant from the other line |
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Term
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Definition
| If three parallel line cut off congruent segments on one transversal, then they cut off congruent segments on every transversal |
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Term
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Definition
| A line that contains the midpoint of one side of a triangle and is parallel to another side passes through the midpoint of the third side |
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Term
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Definition
The segment that joins the midpoints of two sides of a triangle
1) is parallel to the third side
2) Is half as long as the third side |
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Term
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Definition
| The diagonals of a rectangle are congruent |
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Term
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Definition
| The diagonals of a rhombus are perpenndicular |
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Term
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Definition
| Each diagonal of a rhombus bisects two angles of the rhombus |
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Term
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Definition
| The midpoint of the hypotenuse of a right triangle is euidistant from the three vertices |
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Term
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Definition
| If an angle of a parallelogram is a right angle then the parallelogram is a rectangle |
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Term
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Definition
| If two consecutive sides of a parallelogram are congruent then the parallelogram is a rhombus |
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Term
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Definition
| Base angles of an isosceles trapezoid are congruent |
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Term
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Definition
The median of a trapezoid
1) is parallel to the bases
2) has a length equal to the average of the base lengths |
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Term
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Definition
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Term
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Definition
| If an angle of a triangle is congruent to an angle of another triangle and the sides including those angles are in proportion then the triangles are similar |
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Term
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Definition
| If the sides of two triangles are in proportion, then the triangles are similar |
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Term
| Triangle Propotionality Theorem |
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Definition
| If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally |
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