Term
Additive Property of Equality
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Definition
| Adding the same thing to both sides of an equation |
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Term
| Subtractive Property of Equality |
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Definition
| Subtracting the same thing from both sides of an equation |
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Multiplicative Property of Equality
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Definition
| Multiplying by the same thing on both sides of an equation |
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Division Property of Equality
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Definition
| Dividing by the same number on both sides of an equation |
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Term
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Definition
| In an equation, substituting one quantity for another that is know to be equal to the first. |
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Term
| Reflexive Property of Equality (Congruence) |
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Definition
| States that something is equal (congruent) to itself |
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Transitive Property of Equality (Congruence)
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Definition
| If A = B and B = C, allows us to concludes that A = C. |
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Symmetric Property of Equality (Congruence)
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Definition
| If A = B, allows us to conclude that B = A. |
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Term
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Definition
| If A is a true statement and A -> B is a true conditional statement, allows us to conclude B. |
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Term
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Definition
| If A -> B is a true conditional statement, and B -> C is a true conditional statement, allows us to conclude A -> C. |
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Term
Segment Addition Postulate
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Definition
| If B is between A and C, then AB + BC = AC. The Segment Addition Postulate allows us to find the length of a segment by adding up its constituent parts. |
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Term
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Definition
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Term
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Definition
| Vertical angles are congruent. |
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Term
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Definition
| Angles that form a linear pair are supplementary. |
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Term
Angles Supplementary to the Same Angle
or
Angles Complementary to the Same Angle |
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Definition
Angles supplementary to the same angle are congruent.
Angles complementary to the same angle are congruent. |
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Term
| Corresponding Angles Postulate |
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Definition
If two parallel lines are cut by a transversal, then the corresponding angles formed are congruent.
The converse of this theorem is also true. |
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Term
| Alternate Interior Angles Theorem |
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Definition
If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent.
The converse of this theorem is also true.
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Term
| Alternate Exterior Angles Theorem |
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Definition
If two parallel lines are cut by a transversal, then the alternate exterior angles formed are congruent.
The converse of this theorem is also true.
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Term
| Same-side Interior Angle Theorem |
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Definition
If two parallel lines are cut by a transversal, then the same-side interior angles formed are supplementary.
The converse of this theorem is also true.
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Term
| Same-side Exterior Angles Theorem |
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Definition
If two parallel lines are cut by a transversal, then the same-side exterior angles formed are supplementary.
The converse of this theorem is also true.
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Term
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Definition
| The interior angles of a triangle sum to 180 degrees. |
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Term
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Definition
| If two angles in one triangle are congruent to two angles in another triangle, the third angles are congruent as well. |
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Term
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Definition
| The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. |
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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
| In two triangles, if two pairs of sides are congruent, and the included angles are congruent, then the triangles are congruent |
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Term
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Definition
| In two triangles, if two pairs of angles are congruent and the included sides are also congruent, then the triangles are congruent. |
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Term
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Definition
| In two triangles, if two pairs of sides and a pair of non-included angles are congruent, then the triangles are congruent. |
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Term
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Definition
| For two right triangles: if the hypotenuses are cogruent and a pair of legs are congruent, then the two triangles are congruent. |
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Term
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Definition
| Corresponding parts of congruent triangles are congruent. |
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Term
| Isosceles Triangle Theorem |
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Definition
The base angles of isosceles triangles are congruent.
The converse of this theorem is also true.
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Term
| Equilateral Triangle Theorem |
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Definition
Equilateral triangles are also equiangular, and each interior angle measures 60 degrees.
The converse of this theorem is also true.
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Term
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Definition
In a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.
a2+b2=c2 |
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