# Study sets matching "geometry chapter 3 theorems postulates"

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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…

Postulate 3-1 Same-side Interior Angle…

Theorem 3-1 Alternate Interior Angles T…

Theorem 3-2 Corresponding Angles Theore…

Theorem 3-3 Alternate Exterior Angles T…

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 T…

congruent

Postulate 3-1 Same-side Interior Angle…

Theorem 3-1 Alternate Interior Angles T…

Theorem 3-2 Corresponding Angles Theore…

Theorem 3-3 Alternate Exterior Angles T…

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 T…

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…

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

If a transversal intersects two parallel lines, then alternate…

If a transversal intersects two parallel lines, then correspon…

If a transversal intersects two parallel lines, then alternate…

Postulate 3-1: Same-Side Interior Angle…

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

Theorem 3-1: Alternate Interior Angles…

If a transversal intersects two parallel lines, then alternate…

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.

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 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…

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…

Theorem 3.1

Theorem 3.2

Theorem 3.3

Postulate 15

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

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

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

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

Theorem 3.1

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

Theorem 3.2

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

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…

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

Transversal

Alternate Interior Angles

Consecutive Interior Angles

Corresponding Angles

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

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

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

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

Transversal

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

Alternate Interior Angles

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

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

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…

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…

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…

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 i…

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

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 I'm point not on the line, then there i…

(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 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…

Postulate 3-1

Theorem 3-1

Theorem 3-2

Theorem 3-3

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

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 two…

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 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…

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 fo…

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

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 fo…

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