#### Study sets matching "chapter 3 math geometry"

#### Study sets matching "chapter 3 math geometry"

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 poi…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

parallel lines

parallel planes

distance from a point to a line

skew lines

Coplanar lines that do not intersect

Planes that do not intersect

The length of the perpendicular segment from the point to the…

Lines that do not intersect and are not coplanar

parallel lines

Coplanar lines that do not intersect

parallel planes

Planes that do not intersect

Obtuse Angle

Acute Angle

Right Angle

Reflex Angle

An angle between 90 and 180 degrees

Angles measuring less than 90 degrees.

Angles measuring 90 degrees.

An angle with a measurement between 180 and 360 degrees.

Obtuse Angle

An angle between 90 and 180 degrees

Acute Angle

Angles measuring less than 90 degrees.

skew lines

transversal

corresponding

consecutive

never intersect, not on the same plane (ex. floor and wall)

line that intersects +2 coplanar (same plane) lines at differ…

same spot in a different place congruent

same side interior supplementary

skew lines

never intersect, not on the same plane (ex. floor and wall)

transversal

line that intersects +2 coplanar (same plane) lines at differ…

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

Converse of Corresponding Angles Theorem

If a transversal intersects 2 parallel lines, then alternate…

If a transversal intersects 2 parallel lines, then correspond…

If a transversal intersects 2 parallel lines, then alternate…

If 2 lines and a transversal form corresponding angles that a…

Alternate Interior Angles Theorem

If a transversal intersects 2 parallel lines, then alternate…

Corresponding Angles Theorem

If a transversal intersects 2 parallel lines, then correspond…

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 poi…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

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 poi…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

angle-angle similarity

angle

congruent

corresponding sides

if two angles of one triangle are congruent to two correspond…

in geometric figures, usually formed by two segments with a c…

exactly the same shape and size

sides in two or more figures that are images of each other wi…

angle-angle similarity

if two angles of one triangle are congruent to two correspond…

angle

in geometric figures, usually formed by two segments with a c…

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 poi…

parallel lines

Coplanar lines that do not intersect.

skew lines

Lines that do not intersect and are not coplanar.

skew lines

parallel lines

parallel planes

transversal

lines that do not intersect and are no coplanar

lines that do not intersect and are coplanar

two planes that do no intersect

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

skew lines

lines that do not intersect and are no coplanar

parallel lines

lines that do not intersect and are coplanar

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 or more coplanar lines at differen…

Parallel lines

coplanar lines that do not intersect

Skew lines

Lines that do not intersect and are not coplanar

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 lines.

Parallel Lines

Coplanar lines that do not intersect

Skew Lines

Lines that do not intersect and are not coplanar

Parallel Lines

Skew lines

Transversal

Parallel Postulate

When two or more lines lie in the same plane and never inters…

Lines that are in different planes and never intersect.

A line that intersects two or more lines in different points

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

Parallel Lines

When two or more lines lie in the same plane and never inters…

Skew lines

Lines that are in different planes and never intersect.

Parallel Lines

Skew Lines

Parallel Planes

If two parallel planes are cut by a th…

COPLANAR lines that do not intersect

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

Planes that do not intersect (Think floor and ceiling)

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

Parallel Lines

COPLANAR lines that do not intersect

Skew Lines

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

Alternate Exterior Angles

Alternate Interior Angles

Consecutive Interior Angles

Corresponding Angles

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Alternate Exterior Angles

Two angles that are formed by two lines and a transversal tha…

Alternate Interior Angles

Two angles that are formed by two lines and a transversal tha…

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

Same Side Interior Angles

Angles in the same position

Changing position and inside the line

Changing position and outside the line

Changing top to bottom not left to right and inside the lines

Corresponding Angles

Angles in the same position

Alternate Interior Angles

Changing position and inside the line

Alternate Exterior Angles

Alternate Interior Angles

Consecutive Interior Angles

Corresponding Angles

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Two angles that are formed by two lines and a transversal tha…

Alternate Exterior Angles

Two angles that are formed by two lines and a transversal tha…

Alternate Interior Angles

Two angles that are formed by two lines and a transversal tha…

Alternate Interior Angles (AIA)

Alternate Exterior Angles (AEA)

Corresponding Angles (CA)

Exterior Angle of Triangle

Nonadjacent inside angles that lie on opposite sides of the t…

Nonadjacent outside angles that lie on opposite sides of the…

One inside angle and one outside angle that lie on the same s…

Each exterior of a triangle equals the sum of the measures of…

Alternate Interior Angles (AIA)

Nonadjacent inside angles that lie on opposite sides of the t…

Alternate Exterior Angles (AEA)

Nonadjacent outside angles that lie on opposite sides of the…

Parallel Lines

Transversal

Skew Lines

Parallel Planes

2 coplanar lines that do not intersect

A line that intersects 2 or more coplanar lines at different…

2 lines that are not coplanar and do not intersect

2 planes that do not intersect

Parallel Lines

2 coplanar lines that do not intersect

Transversal

A line that intersects 2 or more coplanar lines at different…

Alternate Interior Angles

Alternate Exterior Angles Converse

Parallel Lines

Parallel Planes

Between 2 lines, on opposite sides of the transversal

If Alternate Exterior Angles are congruent, then the lines ar…

Coplanar lines that never intersect

Planes that never intersect

Alternate Interior Angles

Between 2 lines, on opposite sides of the transversal

Alternate Exterior Angles Converse

If Alternate Exterior Angles are congruent, then the lines ar…

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…

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Nonadjacent exterior angles that lie on opposite sides of the…

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

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

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

similarity

dilation

point of dilation / stretch point

scale factor / zoom factor

-same shape, but not necessarily the same size... -angles are co…

-a transformation where a point on a figure is stretched prop…

-the point of a figure that is stretched to form a dilation o…

-the number a side is multiplied by to make a bigger or small…

similarity

-same shape, but not necessarily the same size... -angles are co…

dilation

-a transformation where a point on a figure is stretched prop…

Vertical Angles

Linear Pair

Supplementary Angles

Angle

Two nonadjacent angles who share a common initial point and t…

Two adjacent angles that together form a line.

Two angles whose sum is 180 degrees.

Formed when two rays share an initial point.

Vertical Angles

Two nonadjacent angles who share a common initial point and t…

Linear Pair

Two adjacent angles that together form a line.

segment bisector

perpendicular bisector

median

coincide

A line, ray, or segment that passes through the midpoint of a…

A line that divides a line segment into two congruent parts a…

A line segment connecting a vertex of a triangle to the midpo…

To lie exactly on top of each other.

segment bisector

A line, ray, or segment that passes through the midpoint of a…

perpendicular bisector

A line that divides a line segment into two congruent parts a…

Parallel Lines

Perpendicular lines

Skew lines

Parallel Planes

Coplanar lines that do not intersect.... Their equations have th…

Lines that intersect at 90 degree angles.... Their slopes have a…

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

Planes that do not intersect

Parallel Lines

Coplanar lines that do not intersect.... Their equations have th…

Perpendicular lines

Lines that intersect at 90 degree angles.... Their slopes have a…

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.

angle-angle similarity

angle

congruent

corresponding sides

if two angles of one triangle are congruent to two correspond…

in geometric figures, usually formed by two segments with a c…

exactly the same shape and size

sides in two or more figures that are images of each other wi…

angle-angle similarity

if two angles of one triangle are congruent to two correspond…

angle

in geometric figures, usually formed by two segments with a c…

polygon

side

triangle

quadrilateral

a closed shape that is made up of line segments that meet onl…

the name of each line segment in a polygon

a polygon with 3 sides and 3 angles

a polygon with 4 sides and 4 angles

polygon

a closed shape that is made up of line segments that meet onl…

side

the name of each line segment in a polygon

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

endpoints of an arc

arc

measure of an arc

semicircle

two points on a circle defining the area contained in an arc

a set of points on a circle between the endpoints of an arc

the amount of a circle that is traced by an arc

arc = 180

endpoints of an arc

two points on a circle defining the area contained in an arc

arc

a set of points on a circle between the endpoints of an arc

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Nonadjacent exterior angles that lie on opposite sides of the…

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

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

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

Segment bisector

Perpendicular bisector

Perpendicular Bisector Conjecture

Converse of the Perpendicular Bisector…

A line, ray, or segment that passes through the midpoint of a…

A line or segment that divides a line segment into two equal…

If a point is on the perpendicular bisector of a segment, the…

If a point is equidistant from the endpoints of a segment, th…

Segment bisector

A line, ray, or segment that passes through the midpoint of a…

Perpendicular bisector

A line or segment that divides a line segment into two equal…

parallel lines

perpendicular lines

skew lines

parallel planes

coplanar lines which do not intersect

lines which intersect at 90 degree angles

noncoplanar lines which are not parallel and do not intersect

planes which do not intersect

parallel lines

coplanar lines which do not intersect

perpendicular lines

lines which intersect at 90 degree angles

parallel lines

skew lines

parallel planes

perpendicular lines

lines that are coplanar and do NOT intersect

lines that are NOT coplanar and do not intersect

two planes that do NOT intersect

lines that intersect at a 90º angle

parallel lines

lines that are coplanar and do NOT intersect

skew lines

lines that are NOT coplanar and do not intersect

Parallel Lines

Perpendicular Lines

Supplementary

Complementary

Two coplanar lines that do not intersect

Two lines that intersect at 90 degrees

Two angles whose sum is 180

Two angles whose sum is 90

Parallel Lines

Two coplanar lines that do not intersect

Perpendicular Lines

Two lines that intersect at 90 degrees

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Nonadjacent exterior angles that lie on opposite sides of the…

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

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

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

AA~

dilation

flowchart

logical argument

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

A transformation which produces a figure similar to the origi…

A diagram showing an argument for a conclusion from certain e…

A sequence of statements and reasons that lead to a conclusion.

AA~

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

dilation

A transformation which produces a figure similar to the origi…

Parallel Lines

Skew Lines

Parallel Planes

Transversal

Lines that are coplanar and do not intersect

Lines that do not intersect and are not coplanar

Two planes that do not intersect

a line that intersects two or more lines at different points

Parallel Lines

Lines that are coplanar and do not intersect

Skew Lines

Lines that do not intersect and are not coplanar

corresponding Angles Postulate

Alternate Interior Angles Theorem

Alternate Exterior angles theorem

Same -Side Interior Angles Theorem

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…

corresponding Angles Postulate

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

Alternate Interior Angles Theorem

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

alternate exterior angles

alternate interior angles

corresponding angles

parallel lines

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

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

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 inte…

alternate exterior angles

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

alternate interior angles

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

alternate interior angles

alternate exterior angles

consecutive interior angles

corresponding angles

Two angles that are formed by two lines and a... transversal tha…

Two angles that are formed by two lines and a... transversal tha…

Two angles that are formed by two lines and a... transversal tha…

Two angles that are formed by two lines and a... transversal tha…

alternate interior angles

Two angles that are formed by two lines and a... transversal tha…

alternate exterior angles

Two angles that are formed by two lines and a... transversal tha…