Term
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Definition
| angles less than 90 degrees |
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Term
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Definition
| angles greater than 90 degrees |
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Term
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Definition
| angles equal to 90 degrees |
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Term
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Definition
| angles equal to 180 degrees |
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Term
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Definition
2 angles whose measures add up to 90
degrees |
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Term
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Definition
| 2 angles whose measures add up to 180 degrees |
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Term
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Definition
| 2 angles that are exactly the same |
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Term
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Definition
| 2 line segments that are exactly the same |
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Term
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Definition
| The point in the middle of a line segment |
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Term
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Definition
| a line, ray, or segment that divides a segment into two congruent parts |
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Term
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Definition
| a line, ray, or segment that divides an angle into two congruent angles |
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Term
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Definition
| intersecting lines that form four 90 degree angles |
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Term
| Reflective Property of Congruence |
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Definition
| all values are congruent to themselves |
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Term
| Symmetric Property of Congruence |
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Definition
equations can be flipped and still be true
a=b, b=a |
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Term
| Transitive Property of Congruence |
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Definition
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Term
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Definition
| If a=10 and a+b+c=d, then 10+b+c=d |
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Term
| Multiplication Property of Equality |
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Definition
for all real numbers a and b,
a=b = ac=bc |
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Term
| Division Properties of Equality |
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Definition
for all real numbers a and b,
a=b = a/c = b/c |
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Term
| Addition Property of Equality |
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Definition
for all real numbers a and b,
a=b = a+c=b+c |
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Term
| Subtraction Property of Equality |
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Definition
for all real numbers a and b,
a=b = a-c=b-c |
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Term
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Definition
| a line contains at least two points |
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Term
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Definition
| a plane contains at least three points |
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Term
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Definition
| if two points lie on a plane, the line connecting them lies on the plane |
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Term
| Intersecting Lines Postulate |
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Definition
| intersecting lines always intersect at exactly one point |
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Term
| Intersecting Planes Postulate |
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Definition
| intersecting planes always intersect at exactly one line |
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Term
| Segment Addition Postulate |
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Definition
| if point y is between points x and z, then xy + yz = xz |
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Term
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Definition
| if line AY is between lines AX and AZ, then angle XAY + angle YAZ = angle XAZ |
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Term
| Right Angle Pair Postulate |
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Definition
| if two angles form a right angle, then they add up to 90 degrees |
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Term
| Straight Angle Pair Postulate |
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Definition
| if two angles form a straight angle, then they add up to 180 degrees |
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Term
| Theorem: All right angles are congruent |
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Definition
| if angles a and b are right angles, then angles a and b equal 90 degrees |
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Term
| Theorem: Vertical angles are congruent |
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Definition
| if angles a and b are vertical angles, then angles a and b are congruent |
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Term
| Supplementary Angle Theorem |
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Definition
| if two angles are supplementary to the same angle, then those angles are congruent |
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Term
| Complementary Angle Theorem |
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Definition
| if two angles are complementary to the same angle, then they are congruent |
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