Set: Theorems

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All 15 Terms

Term Definition
Alternate Exterior Angles Theorem If two lines cut by a transversal are parallel, then alternate exterior angles are congruent
Same side Interior Angles Theorem If two lines cut by a transveral are parallel, then same-side interior angles are supplementary
Alternate Interior Angles Theorem If two lines cut a transversal are parallel then alternate interior angles are congruent
Prove the Alternate Interior Angles Theorem l and m are parallel lines given, m<l is congruent to the m<3 corresponding angles postulate, m<3 us congruent with m<2 vertical angles postulate, m<1 is congruent with m<2 Transitive Property
Transversal a line or ray that intersects to or more coplanar lines, rays, or segments, each at a different point.
Corresponding Angles angles that are located in the same position in relation to a transversal
Corresponding Angles Postulate If two lines cut by a transversal are parallel, then the corresponding angles are congruent
The Parallel Postulate Given a line and a point not on that line, there is one and only one line the contains the given point and is parallel to the given line
Triangle Sum Theorem The sum of the measures of the angles of a triangle is 180 degrees
Theorem 1 if 2 points are perpendicular to the same line, then the two lines are parallel to each other.
Theorem 2 If two lines are parallel to the same line, then the two lines are parallel to each other
Converse of the Corresponding Angles Postulate if corresponding angles are congruent then the two lines cut by a transversal are parallel
Converse of the Same-side Interior Angles Theorem If the same-side interior angles are supplementary then the two lines cut by transversal are parallel
Converse of the Alternate Interior Angles Theorem If alternate interior angles are congruent then two lines cut by a transversal are parallel
Converse of Alternate Exterior Angles Theorem If alternate exterior angles are congruent, then two lines cut by a transversal are parallel

Set Information

Terms 15
Creator tsaan
Created October 14, 2007
Groups None
Tag math
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Most Missed Words

  1. Same side Interior Angles Theorem → If two lines cut by a transveral are parallel, then same-side interior angles are supplementary - 1 miss
  2. Prove the Alternate Interior Angles Theorem → l and m are parallel lines given, m<l is congruent to the m<3 corresponding angles postulate, m<3 us congruent with m<2 vertical angles postulate, m<1 is congruent with m<2 Transitive Property - 1 miss
  3. Triangle Sum Theorem → The sum of the measures of the angles of a triangle is 180 degrees - 1 miss
  4. Theorem 2 → If two lines are parallel to the same line, then the two lines are parallel to each other - 1 miss
  5. Converse of the Corresponding Angles Postulate → if corresponding angles are congruent then the two lines cut by a transversal are parallel - 1 miss