# Study sets matching "geometry chapter 3"

Study sets

Diagrams

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Parallel Lines

Skew Lines

Can a plane be parallel to a plane?

Can a plane be parallel to a line?

Coplanar lines that do not intersect

Noncoplanar lines that are neither intersecting or parallel

Yes.

Yes.

Parallel Lines

Coplanar lines that do not intersect

Skew Lines

Noncoplanar lines that are neither intersecting or parallel

parallel lines

skew lines

parallel planes

consecutive interior angles

coplanar lines that do not intersect

lines that do not intersect and are not coplanar

planes that do not intersect

interior angles that lie on the same side of the transversal

parallel lines

coplanar lines that do not intersect

skew lines

lines that do not intersect and are not coplanar

Nonadjacent exterior angles that lie on…

Nonadjacent interior angles that lie on…

A line that is added to a diagram to he…

Angles on the same side of the transver…

Alternate Exterior Angles

Alternate Interior Angles

Auxiliary Line

Corresponding Angles

Nonadjacent exterior angles that lie on…

Alternate Exterior Angles

Nonadjacent interior angles that lie on…

Alternate Interior Angles

alternate exterior angles

alternate interior angles

corresponding angles

parallel lines

a pair of angles that lie on opposite sides of the transversal…

a pair of nonadjacent angles that lie on opposite sides of the…

a pair of angles that lie on the same side of the transversal…

lines with the same slope (in the same plane that do not inter…

alternate exterior angles

a pair of angles that lie on opposite sides of the transversal…

alternate interior angles

a pair of nonadjacent angles that lie on opposite sides of the…

Alternate interior angles

Alternate exterior angles

Corresponding angles

Parallel lines

In the figure,transversal t intersects lines p and q. What are…

What are angles1 & 2

Coplanar lines in which pointers do not intersect

Alternate interior angles

In the figure,transversal t intersects lines p and q. What are…

Alternate exterior angles

What are angles1 & 2

Transversal

Polygon

Convex Polygon

Concave Polygon

A line that intersects two coplanar lines at two distinct poin…

A closed shape with 3 sides that only intersect at endpoints

Has no diagonal with points outside the polygon

Has at least one diagonal with points outside the polygon

Transversal

A line that intersects two coplanar lines at two distinct poin…

Polygon

A closed shape with 3 sides that only intersect at endpoints

Parallel Lines

Skew Lines

Can a plane be parallel to a plane?

Can a plane be parallel to a line?

Coplanar lines that do not intersect

Noncoplanar lines that are neither intersecting or parallel

Yes.

Yes.

Parallel Lines

Coplanar lines that do not intersect

Skew Lines

Noncoplanar lines that are neither intersecting or parallel

Parallel Lines

Skew lines

Parallel Planes

Transversal

Coplanar lines that do not intersect.

Lines that are not coplanar, not parallel and do not intersect.

Planes that do not intersect

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

Parallel Lines

Coplanar lines that do not intersect.

Skew lines

Lines that are not coplanar, not parallel and do not intersect.

Skew Lines

Parallel Lines

Perpendicular Lines

Alternate Interior Angles

Lines that are not parallel and do not intersect

lines in the same plane that never intersect. they have the sa…

Two lines that intersect to form a right angle. They have slop…

angles between 2 lines and on opposite sides of a transversal

Skew Lines

Lines that are not parallel and do not intersect

Parallel Lines

lines in the same plane that never intersect. they have the sa…

parallel lines

skew lines

parallel planes

corresponding angles

coplanar lines that do not intersect

non-coplanar lines that do not intersect

planes that do not intersect

angles formed by a transversal cutting through 2 or more lines…

parallel lines

coplanar lines that do not intersect

skew lines

non-coplanar lines that do not intersect

Parallel Lines

Skew Lines

Parallel Planes

Transversal Line

Coplaner lines that do not intersect.

Non-coplaner lines that do not intersect.

Planes that never intersect.

A line that intersects 2 or more coplaner lines at distinct po…

Parallel Lines

Coplaner lines that do not intersect.

Skew Lines

Non-coplaner lines that do not intersect.

parallel lines

skew lines

parallel planes

transversal

Coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

Two planes that do not intersect.

A line that intersects two coplanar lines at two distinct poin…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

Parallel lines

Parallel planes

Skew lines

Transversal

Coplanar lines that never intersect

Planes that do not intersect

Lines that do not interesect and are not coplanar and not para…

line intersecting two or more other lines in the plane. The tr…

Parallel lines

Coplanar lines that never intersect

Parallel planes

Planes that do not intersect

alternate exterior angles

alternate interior angles

corresponding angles

parallel lines

a pair of angles that lie on opposite sides of the transversal…

a pair of nonadjacent angles that lie on opposite sides of the…

a pair of angles that lie on the same side of the transversal…

lines with the same slope (in the same plane that do not inter…

alternate exterior angles

a pair of angles that lie on opposite sides of the transversal…

alternate interior angles

a pair of nonadjacent angles that lie on opposite sides of the…

Construct

Perpendicular bisector

Angle bisector

Median

To use a compass and straightedge to create a figure

A perpendicular line that bisects a line segment

A ray that cuts an angle in half

The segment connecting the vertex of a triangle to the midpoin…

Construct

To use a compass and straightedge to create a figure

Perpendicular bisector

A perpendicular line that bisects a line segment

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transvers…

Nonadjacent exterior angles that lie on opposite sides of the…

Angles that lie on the same side of the traversal and in corre…

Interior angles that lie on the same side of the transversal.…

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transvers…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

AA～

Angles

Conditional Statement

Congruent

If two angles of one triangle are congruent to the two corresp…

formed by two rays joined in at a common endpoint.

written as "if..., then..."

two shapes are congruent when they have exactly the same shape…

AA～

If two angles of one triangle are congruent to the two corresp…

Angles

formed by two rays joined in at a common endpoint.

parallel lines

skew lines

parallel planes

Postulate 13 Parallel Postulate

lines that do not intersect and are coplanar

lines that do not intersect are not coplanar

two planes that do not intersect

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

parallel lines

lines that do not intersect and are coplanar

skew lines

lines that do not intersect are not coplanar

parallel

skew

parallel planes

parallel symbol

if two lines do not intersect and are coplanar, then they are…

if two lines do not intersect and are not coplanar, then they…

two planes that do not intersect are called ____

parallel

if two lines do not intersect and are coplanar, then they are…

skew

if two lines do not intersect and are not coplanar, then they…

parallel lines

perpendicular lines

parallel planes

line perpendicular to a plane

lines in the same plane that never intersect

Lines that intersect to form right angles

planes that do not intersect

a line that intersects the plane in a point and is perpendicul…

parallel lines

lines in the same plane that never intersect

perpendicular lines

Lines that intersect to form right angles

alternate interior angles

same-side interior angles

transversal

Corresponding Angles Postulate

angles between 2 lines and on opposite sides of a transversal

two interior angles on the same side of the transversal

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

If a transversal intersects two parallel lines, then correspon…

alternate interior angles

angles between 2 lines and on opposite sides of a transversal

same-side interior angles

two interior angles on the same side of the transversal

parallel lines

skew lines

parallel planes

transversal

Coplanar lines that do not intersect.

Lines that do not intersect and are not coplanar.

Two planes that do not intersect.

A line that intersects two coplanar lines at two distinct poin…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

Nonadjacent exterior angles that lie on…

Nonadjacent interior angles that lie on…

A line that is added to a diagram to he…

Angles on the same side of the transver…

Alternate Exterior Angles

Alternate Interior Angles

Auxiliary Line

Corresponding Angles

Nonadjacent exterior angles that lie on…

Alternate Exterior Angles

Nonadjacent interior angles that lie on…

Alternate Interior Angles