#### Study sets matching "geometry chapter 3 theorems postulates"

#### Study sets matching "geometry chapter 3 theorems postulates"

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Postulate 3-1 Same-side Interior Angle…

Theorem 3-1 Alternate Interior Angles…

Theorem 3-2 Corresponding Angles Theor…

Theorem 3-3 Alternate Exterior Angles…

supplementary... m∠1 + m∠2 = 180

congruent

corresponding

exterior

Postulate 3-1 Same-side Interior Angle…

supplementary... m∠1 + m∠2 = 180

Theorem 3-1 Alternate Interior Angles…

congruent

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Postulate

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Corresponding Angles Postulate - If tw…

Alternate Interior Angles Theorem - If…

Alternate Exterior Angles Theorem - If…

Same-Side Interior Angles Theorem - If…

then the pairs of corresponding angles are congruent.

then the alternate interior angles are congruent.

then the alternate exterior angles are congruent.

then the pairs of same-side interior angles are supplementary.

Corresponding Angles Postulate - If tw…

then the pairs of corresponding angles are congruent.

Alternate Interior Angles Theorem - If…

then the alternate interior angles are congruent.

Postulate 3-1 Same-side Interior Angle…

Theorem 3-1 Alternate Interior Angles…

Theorem 3-2 Corresponding Angles Theor…

Theorem 3-3 Alternate Exterior Angles…

supplementary... m∠1 + m∠2 = 180

congruent

corresponding

exterior

Postulate 3-1 Same-side Interior Angle…

supplementary... m∠1 + m∠2 = 180

Theorem 3-1 Alternate Interior Angles…

congruent

Postulate 3-1: Same-Side Interior Angl…

Theorem 3-1: Alternate Interior Angles…

Theorem 3-2: Corresponding Angles Theo…

Theorem 3-3: Alternate Exterior Angles…

If at transversal intersects two parrallel lines, then same-s…

If a transversal intersects two parallel lines, then alternat…

If a transversal intersects two parallel lines, then correspo…

If a transversal intersects two parallel lines, then alternat…

Postulate 3-1: Same-Side Interior Angl…

If at transversal intersects two parrallel lines, then same-s…

Theorem 3-1: Alternate Interior Angles…

If a transversal intersects two parallel lines, then alternat…

Same-side Interior Angle Postulate... If…

Alternate Interior Angles Theorem... If a…

Corresponding Angles Theorem... If a tran…

Alternate Exterior Angles Theorem... If a…

supplementary... m∠1 + m∠2 = 180

congruent

corresponding

exterior

Same-side Interior Angle Postulate... If…

supplementary... m∠1 + m∠2 = 180

Alternate Interior Angles Theorem... If a…

congruent

Transversal

Alternate Interior Angles

Consecutive Interior Angles

Corresponding Angles

a line that intersects two or more coplanar lines at differen…

are inside the parallel lines, and on opposite (alternate) si…

lie on the same side of the transversal and on the interior o…

are two nonadjacent angles that lie on the ... same side of the…

Transversal

a line that intersects two or more coplanar lines at differen…

Alternate Interior Angles

are inside the parallel lines, and on opposite (alternate) si…

Theorem 3.1

Theorem 3.2

Theorem 3.3

Postulate 15

If two lines intersect to form a linear pair of congruent ang…

If two sides of two adjacent acute angle are perpendicular, t…

If two lines are perpendicular, then they intersect to form f…

If two parallel lines are cut by a transversal, then the pair…

Theorem 3.1

If two lines intersect to form a linear pair of congruent ang…

Theorem 3.2

If two sides of two adjacent acute angle are perpendicular, t…

AIA

SSI

CA

AEA

Alternate Interior Angles- angles on opposite sides of the tr…

Same Side Interior- angles found on the same side of the tran…

Corresponding Angles- Angles that are in the same position re…

Alternate Exterior Angles- Angles on opposite sides of the tr…

AIA

Alternate Interior Angles- angles on opposite sides of the tr…

SSI

Same Side Interior- angles found on the same side of the tran…

Parallel postulate

Perpendicular postulate

Corresponding angles postulate

Alternate interior angles theorem

If there is a line and a point not on the line, then there is…

If there is a line and I'm point not on the line, then there…

If two parallel lines are cut by a transversal, then pairs of…

If two parallel lines are cut by a transversal, then the pair…

Parallel postulate

If there is a line and a point not on the line, then there is…

Perpendicular postulate

If there is a line and I'm point not on the line, then there…

Parallel Postulate

Perpendicular Postulate

Corresponding Angles Theorem

Alternate Interior Angles Theorem

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

Parallel Postulate

If there is a line and a point not on the line, then there is…

Perpendicular Postulate

If there is a line and a point not on the line, then there is…

Postulate 3.1 Corresponding Angles Pos…

Theorem 3.1 Alternate Interior Angles…

Theorem 3.2 Consecutive Interior Angle…

Theorem 3.3 Exterior Angles Theorem

If two parallel lines are cut be a transversal, then each pai…

If two parallel lines are cut by a transversal, then each pai…

If two parallel lines are cut by a transversal , then each pa…

If two parallel lines are cut be a transversal, then each pai…

Postulate 3.1 Corresponding Angles Pos…

If two parallel lines are cut be a transversal, then each pai…

Theorem 3.1 Alternate Interior Angles…

If two parallel lines are cut by a transversal, then each pai…

postulate 3.1: Corresponding Angles Po…

theorem 3.1: Alternate Interior Angles…

theorem 3.2: Consecutive Interior Angl…

theorem 3.3: Alternate Exterior Angles…

If two parallel lines are cut by a transversal, then each pai…

If two parallel lines are cut by a transversal, then each pai…

If two parallel lines are cut by a transversal, then each pai…

If two parallel lines are cut by a transversal, then each pai…

postulate 3.1: Corresponding Angles Po…

If two parallel lines are cut by a transversal, then each pai…

theorem 3.1: Alternate Interior Angles…

If two parallel lines are cut by a transversal, then each pai…

Postulate 3-1

Theorem 3-1

Theorem 3-2

Theorem 3-3

Corresponding Angles Postulate... If a transversal intersects tw…

Alternate Interior Angles Theorem... If a transversal intersects…

Same-Side Interior Angles Theorem... If a transversal intersects…

Alternate Exterior Angles Theorem... If a transversal intersects…

Postulate 3-1

Corresponding Angles Postulate... If a transversal intersects tw…

Theorem 3-1

Alternate Interior Angles Theorem... If a transversal intersects…

Congruent linear pair theorem

Perpendicular transveral theorem

Perpendicular parallel theorem

Converse of corresponding angles postu…

If 2 intersecting lines form a linear pair of congruent angle…

In a plane, if a transversal is perpendicular to one of two p…

If two coplanar lines are perpendicular to the same line, the…

If corresponding angles are congruent, then parallel lines ar…

Congruent linear pair theorem

If 2 intersecting lines form a linear pair of congruent angle…

Perpendicular transveral theorem

In a plane, if a transversal is perpendicular to one of two p…

Parallel Lines

Skew Lines

Parallel Planes

Transversal

Coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

Planes that do not intersect.

A line that intersects two or more coplanar lines at two diff…

Parallel Lines

Coplanar lines that do not intersect.

Skew Lines

Lines that do not intersect and are not coplanar.

Theorem 3.1

Theorem 3.2

Theorem 3.3

Theorem 3.4

All right angles are congruent

If two lines are perpendicular, then they intersect to form f…

If two lines intersect to form adjacent congruent angles, the…

If two sides of adjacent acute angles are perpendicular, then…

Theorem 3.1

All right angles are congruent

Theorem 3.2

If two lines are perpendicular, then they intersect to form f…

parallel lines (II)

Perpendicular lines

skew lines

parallel planes

coplanar and do not intersect

intersect at 90 degree angles

not coplanar skew lines are not parallel and do not intersect

planes that do not interect

parallel lines (II)

coplanar and do not intersect

Perpendicular lines

intersect at 90 degree angles

If two parallel lines are cut by a tra…

If two parallel lines are cut by a tra…

If two parallel lines are cut by a tra…

If two parallel lines are cut by a tra…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a transversal, then the two…

If two parallel lines are cut by a transversal, then the two…

If two parallel lines are cut by a tra…

If two parallel lines are cut by a transversal, then the pair…

If two parallel lines are cut by a tra…

If two parallel lines are cut by a transversal, then the pair…

P 3.1 Corresponding Angles Postulate

T 3.1 Alternate Interior Angles Theorem

T 3.2 Consecutive Interior Angles Theo…

T 3.3 Alternate Exterior Angles Theorem

If two parallel lines are cut by a transversal, then each pai…

If two parallel lines are cut by a transversal, then each pai…

If two parallel lines are cut by a transversal, then each pai…

If two parallel lines are cut by a transversal, then each pai…

P 3.1 Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then each pai…

T 3.1 Alternate Interior Angles Theorem

If two parallel lines are cut by a transversal, then each pai…

Corresponding Angles Postulate

Slopes of Parallel Lines

Slopes of Perpendicular Lines

Converse of Corresponding Angles Postu…

If two parallel lines are cut by a transversal, then each pai…

Two nonvertical lines have the same slope if and only if they…

Two nonvertical lines are perpendicular if and only if the pr…

If two lines are cut by a transversal so that corresponding a…

Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then each pai…

Slopes of Parallel Lines

Two nonvertical lines have the same slope if and only if they…

If a transversal intersects two parall…

If a transversal intersects two parall…

If a transversal intersects two parall…

If a transversal intersects two parall…

Same-Side Interior Angles Postulate

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

If a transversal intersects two parall…

Same-Side Interior Angles Postulate

If a transversal intersects two parall…

Alternate Interior Angles Theorem