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33 Cards in this Set

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Parallel Lines
Coplanar lines that do not intersect
Skew lines
Noncoplanar lines that are neither paralled nor intersecting
Parallel planes
Planes that do not intersect
Theorem 3-1
If two parallel planes are cut by a third plan, then the lines of intersection are parallel
Postulate 10
If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Theorem 3-2
If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Theorem 3-3
If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Theorem 3-4
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also.
Postulate 11
If two lines are cut by a transversal and correspond angles are congruent, then the lines are parallel.
Theorem 3-5
If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.
Theorem 3-6
If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel.
Theorem 3-7
In a plan two lines perpendicular to the same line are parallel.
Theorem 3-8
Through a point outside a line, there is exactly one line parallel to the given line.
Theorem 3-9
Through a point outside a line, there is exactly one line perpendicular to the given line.
Theorem 3-10
Two lines parallel to a third line are parallel to each other.
Scalene triangle
None of the sides are congruent
Isosceles triangle
At least two of the sides are congruent
Equilateral triangle
All of the sides are congruent
Acute triangle
A triangle with three acute angles
Obtuse triangle
A triangle with one obtuse angle
Right triangle
A triangle with one right angle
Equiangular triangle
A triangle whose angles are all congruent
Theorem 3-11
The sum of the measures of the angles of a triangle is 180
Corollary 1
If two angles of one trianble are congruent to two angles of another triangle, then the third angles are congruent.
Corollary 2
Each angles of an equiangular triangle has measure 60.
Corollary 3
In a triangle, there can be at most one right angle or obtuse angle.
Corollary 4
The acute angles of a right triangle are complementary.
Theorem 3-12
The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles.
Polygon
1. Each segment intersects exactly 2 other segments, one at each endpoint
2. No 2 segments within a common endpoint are collinear
Convex polygon
Polygon in which no line containing a side of the polygon contains a point in the interior of the polygon
Theorem 3-13
The sum of the measures of the angles of a convex polygon with n sides is (n-2)180
Theorem 3-14
The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360
Regular polygon
Polygon that is both equiangular and equilateral