# Study sets matching "honors geometry 3"

Parallel Lines

Skew Lines

Parallel Planes

If two parallel planes are cut by a thi…

COPLANAR lines that do not intersect

NON coplanar lines that to not intersect (think left/right and…

Planes that do not intersect (Think floor and ceiling)

If planes X and Y are parallel, then their lines of intersecti…

Parallel Lines

COPLANAR lines that do not intersect

Skew Lines

NON coplanar lines that to not intersect (think left/right and…

Parallel

Skew

Transversal

Corresponding

Lines that do not intersect

Lines that do not intersect and are not coplanar

A line that intersect a set of parallel lines

A pair of angles that are in the "same spot" and do not touch…

Parallel

Lines that do not intersect

Skew

Lines that do not intersect and are not coplanar

Betweenness of points theorem

Betweenness of rays theorem

Complements of the same angle

Supplements of the same angle

A-B-C, then AB+BC=AC

OA-OB-OC, then <AOB+<BOC=<AOC

are equal

are equal

Betweenness of points theorem

A-B-C, then AB+BC=AC

Betweenness of rays theorem

OA-OB-OC, then <AOB+<BOC=<AOC

alternate exterior angles

alternate interior angles

corresponding angles

same side interior angles

nonadjacent exterior angles that lie on opposite sides of the…

nonadjacent interior angles that lie on opposite sides of the…

angles that lie on the same side of the transversal and in cor…

interior angles that lie on the same side of the transversal

alternate exterior angles

nonadjacent exterior angles that lie on opposite sides of the…

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the…

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 diffe…

parallel lines

coplanar lines that do not intersect.

skew lines

lines that do not intersect and are not coplanar

Transversal

Alternate Interior Angles

Same-Side Interior Angles

Corresponding Angles

A line that intersects 2 coplanar lines at 2 distinct points

Transversal

A line that intersects 2 coplanar lines at 2 distinct points

Alternate Interior Angles

parallel lines

skew lines

parallel planes

parallel postulate

two lines if they do not intersect and are coplanar

two lines if they do not intersect and are not coplanar

two planes if they do not intersect

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

parallel lines

two lines if they do not intersect and are coplanar

skew lines

two lines if they do not intersect and are not coplanar

Parallel Lines

Skew Lines

Parallel Planes

Transversal Line

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 diffe…

Parallel Lines

Coplanar lines that do not intersect.

Skew Lines

Lines that do not intersect and are not coplanar.

Transversal

Alternate Interior Angles (AIA)

Same Side Interior Angles (SSIA)

Corresponding Angles (CA)

A line that intersects two or more lines.

Angles on opposite sides of the transversal in between the int…

Angles on the same side of the transversal in between the inte…

In the same position around the transversal.

Transversal

A line that intersects two or more lines.

Alternate Interior Angles (AIA)

Angles on opposite sides of the transversal in between the int…

Polygon

Two Polygons are Similar If and Only IF:

Scale Factor

SSS~

Closed figure with three or more sides

Corresponding angles are congruent and all corresponding sides…

Common ratio that each pair or corresponding sides make

If three sets of corresponding sides all make the same ratio,…

Polygon

Closed figure with three or more sides

Two Polygons are Similar If and Only IF:

Corresponding angles are congruent and all corresponding sides…

Parallel lines

Skew lines

Parallel planes

Transversal

Coplanar lines that do not intersect

Lines that do not intersect and are not coplanar

Are planes that do not intersect

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

Parallel lines

Coplanar lines that do not intersect

Skew lines

Lines that do not intersect and are not coplanar

angle bisector

perpendicular bisector

median

altitude

a ray that divides an angle into 2 congruent angles

a line/ray/segment that bisects a segment and is perpendicular…

a segment drawn from a vertex of a triangle to the midpoint of…

a segment drawn from a vertex of a triangle perpendicular to t…

angle bisector

a ray that divides an angle into 2 congruent angles

perpendicular bisector

a line/ray/segment that bisects a segment and is perpendicular…

congruent

congruent polygons

corresponding parts

Theorem 4.3 Third Angles Theorem

When two geometric figures have exactly the same shape and size

when all parts of one polygon are congruent to each other

matching parts of the other polygon

If two angles of one triangle are congruent to two angles of a…

congruent

When two geometric figures have exactly the same shape and size

congruent polygons

when all parts of one polygon are congruent to each other

Converse of Corresponding Angles Postul…

Parallel Postulate

Alternate Exterior Angles Converse

Consecutive Interior Angles Converse

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 two lines in a plane are cut by a transversal so that a pai…

If two lines in a plane are cut by a transversal so that a pai…

Converse of Corresponding Angles Postul…

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

Parallel Postulate

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

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 diffe…

Parallel lines

coplanar lines that do not intersect

Skew lines

lines that do not intersect and are not coplanar

Midsegment

Circumcenter

Median

Centroid

A segment that connects 2 midpoints

Perpendicular bisectors in a triangle & in/out/on triangle (hy…

A segment passing through a vertex and the midpoint of the opp…

Medians in a triangle & always inside triangle & form trisecto…

Midsegment

A segment that connects 2 midpoints

Circumcenter

Perpendicular bisectors in a triangle & in/out/on triangle (hy…

What is the corresponding angles POSTUL…

What is the alternate interior angles t…

What is the alternate exterior angles t…

What is the consecutive interior angles…

If two lines are cut by a transversal so that the correspondin…

If two lines are cut by a transversal so that the alternate in…

If two lines are cut by a transversal so that the alternate ex…

If two lines are cut by a transversal so that the consecutive…

What is the corresponding angles POSTUL…

If two lines are cut by a transversal so that the correspondin…

What is the alternate interior angles t…

If two lines are cut by a transversal so that the alternate in…

Parallel lines

Parallel planes

Skew lines

Transversal

Coplanar lines that do not intersect

Planes that do not intersect

Lines that do not intersect and are not coplanar

A line that intersects 2 or more coplanar lines at two differe…

Parallel lines

Coplanar lines that do not intersect

Parallel planes

Planes that do not intersect

parallel

skew

transversal

corresponding angles postulate

-lines that do not intersect... -lines in the same plane that do…

lines that are not in the same plane and do not intersect

-line that intersects two or more lines in a plane at differen…

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

parallel

-lines that do not intersect... -lines in the same plane that do…

skew

lines that are not in the same plane and do not intersect

Perpendicularity

Complimentary Angles

Supplementary Angles

Adjacent Angles

Lines, rays and segments that intersect at right angles

Angles whos sum is 90 degrees

Angles who's sum is 180 degrees

Share a common side or ray

Perpendicularity

Lines, rays and segments that intersect at right angles

Complimentary Angles

Angles whos sum is 90 degrees

CPCTC

angle bisector

perpendicular bisector

Median

Corresponding ... Parts of ... Congruent ... Triangle are... Congruent

a ray that divides an angle into 2 congruent angles- max 3

a ray or segment that bisects a segment into 2 congruent segme…

a segment drawn from a vertex of a triangle to the midpoint of…

CPCTC

Corresponding ... Parts of ... Congruent ... Triangle are... Congruent

angle bisector

a ray that divides an angle into 2 congruent angles- max 3

parallel lines

parallel planes

skew lines

transversal

coplanar lines that do not intersect

planes that do not intersect

lines that do not intersect and are not coplanar

a line that intersects two or more lines in a plane at differe…

parallel lines

coplanar lines that do not intersect

parallel planes

planes that do not intersect

Sketch

Draw

Construct

Duplicate

freehand, not exact, no tools

careful and accurate with geometry tools

use compass and straightedge, with patty paper fold the paper…

copy using tools

Sketch

freehand, not exact, no tools

Draw

careful and accurate with geometry tools

Parallel Line

Skew Line

Parallel Planes

interior angles

coplanar line that do not cross

lines that do not intersect and are not coplanar

planes that do not intersect

line in the region between lines

Parallel Line

coplanar line that do not cross

Skew Line

lines that do not intersect and are not coplanar