Theorems
Terms
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- Same-Side Exterior Angles Theorem
- If a transversal intersects two parallel lines, then same-side exterior angles are supplementary.
- Vertical Angles Theorem
- Vertical Angles are congruent.
- Converse of the Alternate Interior Angles Theorem
- If two lines and a transversal form alternate interior angles that are congruent, then the two liens are parallel.
- Theorem 3-10
- In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
- Theorem 2-4
- All right angles are congruent.
- Same-Side Interior Angles Theorem
- If a transversal intersects two parallel lines, then same-side interior angles are supplementary.
- Polygon Exterior Angle-Sum Theorem
- The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.
- Theorem 2-5
- If two angles are congruent and supplementary, then each is a right angle.
- Theorem 3-11
- In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.
- Converse of the Same-Side Exterior Angles Theorem
- If two lines and a transversal form same-side exterior angles that are supplementary, then the lines are parallel.
- Triangle Angle Sum Theorem
- The sum of the measure of the angles of a triangle is 180.
- Triangle Exterior Angle Theorem
- The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles.
- Alternate Exterior Angles Theorem
- If a transversal intersects two parallel lines, then alternate exterior angles are congruent.
- Converse of the Alternate Exterior Angles Theorem
- If two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel.
- Alternate Interior Angles Theorem
- If a transversal intersects two parallel lines, then alternate interior angles are congruent.
- Congruent Complements Theorem
- If two angles are complements of the same angle (or of congruent angles), then the two angles are congruent.
- Theorem 3-9
- If two lines are parallel to the same line, then they are parallel to each other.
- Converse of the Same-Side Interior Angles Theorem
- If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.
- Polygon Angle-Sum Theorem
- The sum of the measures of the angles of an n-gon is (n-2)180.
- Congruent Supplements Theorem
- If two angles are supplements of the same angle (or of congruent angles), then the two angles are congruent.