# Study sets matching "geometry chapter 3 theorems postulates"

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Same-side Interior Angle Postulate... If a…

Alternate Interior Angles Theorem... If a…

Corresponding Angles Theorem... If a trans…

Alternate Exterior Angles Theorem... If a…

supplementary... m∠1 + m∠2 = 180

congruent

corresponding

exterior

Same-side Interior Angle Postulate... If a…

supplementary... m∠1 + m∠2 = 180

Alternate Interior Angles Theorem... If a…

congruent

(Postulate 3.1) Parallel Postulate

(Postulate 3.2) Perpendicular Postulate

(Theorem 3.1) Corresponding Angles Theo…

(Theorem 3.2) Alternative Interior Angl…

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 pairs…

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

(Postulate 3.1) Parallel Postulate

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

(Postulate 3.2) Perpendicular Postulate

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

Postulate 13- Parallel Postulate

Postulate 14- Perpendicular Postulate

Postulate 15- Corresponding Angles Post…

Theorem 3.1- Alternate Interior Angles…

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 pairs…

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

Postulate 13- Parallel Postulate

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

Postulate 14- Perpendicular Postulate

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

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Parallel postulate

Perpendicular postulate

Two lines are perpendicular to a third…

Alternate Interior Angles Theorem (AIAT)

through a points not on a line, there is one and only line par…

though a point not on a line, here is one and only one line pe…

in a plane, if two lines are perpendicular to the same line, t…

if two lines and a transversal form alternate interior angles…

Parallel postulate

through a points not on a line, there is one and only line par…

Perpendicular postulate

though a point not on a line, here is one and only one line pe…

Corresponding Angles Postulate - If two…

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 two…

then the pairs of corresponding angles are congruent.

Alternate Interior Angles Theorem - If…

then the alternate interior angles are congruent.

Postulate 13- Parallel Postulate

Postulate 14- Perpendicular Postulate

Postulate 15- Corresponding Angles Post…

Theorem 3.1- Alternate Interior Angles…

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 pairs…

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

Postulate 13- Parallel Postulate

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

Postulate 14- Perpendicular Postulate

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

arc

endpoints of an arc

measures of an arc

semicircle

a path from one point (node) of a network to another point ... a…

a set of points made up of two points on a circle

the amount of a circle that is traced by that arc

an arc of a circle whose endpoints are the endpoints of a diam…

arc

a path from one point (node) of a network to another point ... a…

endpoints of an arc

a set of points made up of two points on a circle

Corresponding Angles Postulate

Converse of Corresponding Angles Postul…

Parallel Postulate

Perpendicular Postulate

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

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

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

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

Corresponding Angles Postulate

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

Converse of Corresponding Angles Postul…

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

Parallel Lines

Perpendicular Lines

Skew Lines

Parallel Planes

Co-planar lines that do not and will never intersect

Intersect at right (90 degree) angles

Lines that are not co-planar, not parallel, and do not interse…

Planes that do not intersect

Parallel Lines

Co-planar lines that do not and will never intersect

Perpendicular Lines

Intersect at right (90 degree) angles

Linear Pair Theorem

Congruent Supplements Theorem

Right Angle Congruence Theorem

Congruent Complements Theorem

If two angles form a linear pair, then they are supplementary

If two angles are supplementary to the same angle ( or two con…

All right angles are congruent

If two angles are complementary to the same angle (or two cong…

Linear Pair Theorem

If two angles form a linear pair, then they are supplementary

Congruent Supplements Theorem

If two angles are supplementary to the same angle ( or two con…

corresponding angles postualte

alternate interior angles therom

alternate exterior angles theorem

same side interior angles therom

corresponding angles are congruent

alternate interior angles are congruent

alternate exterior angles are congruent

same side angles are supplementary

corresponding angles postualte

corresponding angles are congruent

alternate interior angles therom

alternate interior angles are congruent

Postulate 3-1 [Corresponding Angles Pos…

Theorem 3-1 [Alternate Interior Angles…

Theorem 3-2 [Same-Side Interior Angles…

Postulate 3-2 [Converse of the Correspo…

If a transveral intersects two parallel lines, then correspond…

If a transveral intersects two parallel lines, then alternate…

If a transversal intersects two parallel lines, then the same-…

If two lines and a transversal form corresponding angles that…

Postulate 3-1 [Corresponding Angles Pos…

If a transveral intersects two parallel lines, then correspond…

Theorem 3-1 [Alternate Interior Angles…

If a transveral intersects two parallel lines, then alternate…

then the lines are parallel

converse of corresponding angles theorem

then the two lines are parallel

converse of alternate interior angles t…

if two lines and a transversal form corresponding angles that…

if two lines and a transversal form corresponding angles that…

if two lines and a transversal form alternate interior angles…

if two lines and a transversal form alternate interior angles…

then the lines are parallel

if two lines and a transversal form corresponding angles that…

converse of corresponding angles theorem

if two lines and a transversal form corresponding angles that…

Postulate #1

Postulate #2

Postulate #3a

Postulate #3b

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

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

If two non vertical lines have the same slope, then the lines…

If lines are parallel, then they have the same slope

Postulate #1

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

Postulate #2

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

Postulate 13: Parallel Postulate

Postulate 14: Perpendicular Postulate

Theorem 3.8

Theorem 3.9

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

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

If 2 lines intersect to form a linear pair of congruent angles…

If 2 lines are perpendicular, then they intersect to form 4 ri…

Postulate 13: Parallel Postulate

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

Postulate 14: Perpendicular Postulate

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

Corresponding angles postulate

Converse of the corresponding angles po…

Parallel postulate

Perpendicular postulate

If a transversal intersects two parallel lines then correspond…

If two lines and a transversal form corresponding angles that…

Through a point not on a line there is one and only one line p…

Through a point not on the line there's one and only one line…

Corresponding angles postulate

If a transversal intersects two parallel lines then correspond…

Converse of the corresponding angles po…

If two lines and a transversal form corresponding angles that…

If a transversal intersects two paralle…

If a transversal intersects two paralle…

If a transversal intersects two paralle…

If a transversal intersects two paralle…

Same-Side Interior Angles Postulate

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

If a transversal intersects two paralle…

Same-Side Interior Angles Postulate

If a transversal intersects two paralle…

Alternate Interior Angles Theorem

postulate 3.1: Corresponding Angles Pos…

theorem 3.1: Alternate Interior Angles…

theorem 3.2: Consecutive Interior Angle…

theorem 3.3: Alternate Exterior Angles…

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

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

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

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

postulate 3.1: Corresponding Angles Pos…

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

theorem 3.1: Alternate Interior Angles…

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

If two parellel lines are cut by a tras…

Through any point p not on line 1

Parallel lines have same

If to intersecting lines

Correspnding angles are congruent =~, alternet interial angles…

There is exactly one line parrllel to line l

Slope

Form a linear pair of congruent angles, then its linear are pe…

If two parellel lines are cut by a tras…

Correspnding angles are congruent =~, alternet interial angles…

Through any point p not on line 1

There is exactly one line parrllel to line l

Postulate 3.1 Corresponding Angles Post…

Theorem 3.1 Alternate Interior Angles T…

Theorem 3.2 Consecutive Interior Angles…

Theorem 3.3 Exterior Angles Theorem

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

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

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

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

Postulate 3.1 Corresponding Angles Post…

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

Theorem 3.1 Alternate Interior Angles T…

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

Theorem 3-1

Postulate

Theorem 3-2

Theorem 3-3

2 || lines are intersected by a 3rd plane, the lines of inters…

If 2 parallel lines are cut by a transversal, the correspondin…

If 2 parallel lines are cut by a transversal, the alternating…

If 2 parallel lines are cut by a transversal, the alternating…

Theorem 3-1

2 || lines are intersected by a 3rd plane, the lines of inters…

Postulate

If 2 parallel lines are cut by a transversal, the correspondin…

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AIA

SSI

CA

AEA

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

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

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

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

AIA

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

SSI

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

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 pairs…

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

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

Converse of the Corresponding Angles Po…

Alternate Interior Angles Theorem

Converse of the Alternate Interior Angl…

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

If two coplanar lines are cut by a transversal so that a pair…

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

If two coplanar lines are cut by a transversal so that a pair…

Corresponding Angles Postulate

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

Converse of the Corresponding Angles Po…

If two coplanar lines are cut by a transversal so that a pair…

Congruent linear pair theorem

Perpendicular transveral theorem

Perpendicular parallel theorem

Converse of corresponding angles postul…

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

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

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

If corresponding angles are congruent, then parallel lines are…

Congruent linear pair theorem

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

Perpendicular transveral theorem

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