Geometry Chapter 3 Theorems And Postulates

Front 1

Corresponding Angles Postulate (Postulate 3-1)

Back 1

If a transversal intersects two parallel lines, then corresponding angles are congruent.

Front 2

Alternate Interior Angles Theorem (Theorem 3-1)

Back 2

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

Front 3

Same-Side Interior Angles Theorem (Theorem 3-2)

Back 3

If a transversal intersects two parallel lines, then same –side interior angles are supplementary.

Front 4

Alternate Exterior Angles Theorem (Theorem 3-3)

Back 4

If a transversal intersects two parallel lines, then alternate exterior angles are congruent.

Front 5

Converse of the Corresponding Angles Postulate (Postulate 3-2)

Back 5

If two lines and a transversal from corresponding angles that are congruent, then the lines are parallel.

Front 6

Converse of the Alternate Interior Angles Theorem (Theorem 3-4)

Back 6

If two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel

Front 7

Converse of the Same-Side Interior Angles Theorem (Theorem 3-5)

Back 7

If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.

Front 8

Converse of the Alternate Exterior Angles Theorem (Theorem 3-6)

Back 8

If two lines and a transversal from alternate exterior angles, then the two lines are parallel.

Front 9

Theorem 3-7
If two lines are parallel to the same line, then they are what to each other?

Back 9

parallel

If two lines are parallel to the same line, then they are parallel to each other

Front 10

Theorem 3-8
In a plane, if two lines are perpendicular to the same line then they are what to each other?

Back 10

parallel

In a plane, if two lines are perpendicular to the same line then they are parallel to each other.

Front 11

Perpendicular Transversal Theorem (Theorem 3-9)

Back 11

in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.

Front 12

Parallel Postulate (Postulate 3-3)

Back 12

Through a point not on a line there is one and only one line parallel to the given line.

Front 13

Triangle Angle-Sum Theorem (Theorem 3-10)

Back 13

The sum of the measures of the angles of a triangle is 180.

Front 14

Triangle Exterior Angle Theorem (Theorem 3-11)

Back 14

the measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles

Front 15

Perpendicular Postulate (Postulate 3-4)

Back 15

through a point not on a line, there is one and only one line perpendicular to a given line