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33 Cards in this Set
 Front
 Back
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 31

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 32

If two parallel lines are cut by a transversal, then alternate interior angles are congruent.


Theorem 33

If two parallel lines are cut by a transversal, then sameside interior angles are supplementary.


Theorem 34

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 35

If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.


Theorem 36

If two lines are cut by a transversal and sameside interior angles are supplementary, then the lines are parallel.


Theorem 37

In a plan two lines perpendicular to the same line are parallel.


Theorem 38

Through a point outside a line, there is exactly one line parallel to the given line.


Theorem 39

Through a point outside a line, there is exactly one line perpendicular to the given line.


Theorem 310

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 311

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 312

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 313

The sum of the measures of the angles of a convex polygon with n sides is (n2)180


Theorem 314

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
