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postulates, theorems, defs
study for the geometry test
29
Mathematics
10th Grade
12/01/2008

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Cards

Term
Vertical Angles Theorem
Definition
Vertical Angles are congruent.
Term
Congruent Supplements Theorem
Definition
If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent
Term
Congruent Complements Theorem
Definition
If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent.
Term
Corresponding Angles Postulate
Definition
If a transversal intersects two parallel lines, then the corresponding angles are congruent.
Term
Alternate Interior Angles Theorem
Definition
If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
Term
Alternate Exterior Angles Theorem
Definition
If a transversal intersects two parallel lines, then the alternate exterior angles are congruent.
Term
Same-side Interior Angles Theorem
Definition
If a transversal intersects two parallel lines, then the same-side interior angles are supplementary.
Term
Same-side Exterior Angles Theorem
Definition
If a transversal intersects two parallel lines, then the same-side exterior angles are supplementary.
Term
Transversal
Definition
If two lines are drawn in a diagram, then a line that intersects both of them is a _______
Term
Interior Angles
Definition
The angles between the two lines on either side of the transversal
Term
Exterior Angles
Definition
The four angles formed that are not interior
Term
Corresponding angles
Definition
2 angles on the same side of the transversal-one interior and one exterior and with different vertices
Term
No-name theorem
Definition
If a line is perpendicular to one of two parallel lines, than it is perpendicular to the other.
Term
Converse of Corresponding Angles Postulate
Definition
If corresponding angles are congruent, then a transversal intersects two parallel lines
Term
No-name theorem
Definition
All right angles are congruent
Term
The Parallel Postulate
Definition
Through any point not on a line, there's exactly one line that can be drawn parallel to the given line
Term
Converse of the Alternate Interior Angles Theorem
Definition
If the alternate interior angles are congruent, then the lines are parallel
Term
Converse of the Same-side Interior Angles Theorem
Definition
If the same-side interior angles are supplementary, then the lines are parallel.
Term
Converse of the Alternate Exterior Angles Theorem
Definition
If the alt. ext. angles are congruent, then the lines are parallel.
Term
Converse of the Same-side exterior angles theorem
Definition
If the same side ext angles are supp, then the lines are parallel
Term
No-name theorem
Definition
Two lines parallel to the same line are parallel to each other
Term
No-name theorem
Definition
If two lines are perpendicular to the same line, then the two lines are parallel
Term
Congruent angles
Definition
same measure
Term
perpendicular lines
Definition
lines meet in 90* angle
Term
adjacent angles
Definition
must share vertex, must share one side
Term
complementary angles
Definition
two angles->90*
Term
supplementary angles
Definition
two angles-->180*
Term
Adjacent Complements Theorem
Definition
If two adjacent angles have their exterior sides in perpendicular lines, then the angles are complementary
Term
Adjacent Supplements Theorem
Definition
If two adjacent angles have their exterior sides in opposite rays, then the angles are supplementary
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