# Study sets matching "math geometry vocab theorems postulates"

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Segment Addition postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

AB+BC=AC

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

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

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

Segment Addition postulate

AB+BC=AC

Alternate Interior Angles Theorem

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

Transitive Property

symmetric property

reflexive property

substitution property

if a=b and b=c then a=c

if a=b then b=a

for any real number a, a=a

if a=b then a can be substituted for binary equation/expression

Transitive Property

if a=b and b=c then a=c

symmetric property

if a=b then b=a

converse of the Alternate Interior Angl…

converse of the same-side interior angl…

converse of the alternate exterior angl…

converse of the corresponding angles th…

If two lines and a transversal form alternate interior angles…

If two lines and a transversal form same-side interior angles…

if two lines and a transversal form alternate exterior angles…

if two lines and a transversal form corresponding angles that…

converse of the Alternate Interior Angl…

If two lines and a transversal form alternate interior angles…

converse of the same-side interior angl…

If two lines and a transversal form same-side interior angles…

Point

Line

Segment

Ray

A dot represented by a letter.

Two points determine a line. A line is never ending.

Two points determine a segment. A segment has a definite end a…

Two points determine a ray. A ray has one definite end and a n…

Point

A dot represented by a letter.

Line

Two points determine a line. A line is never ending.

Postulate - 2.1

Postulate - 2.2

Postulate - 2.3

Postulate - 2.4

Through any two points, there is exactly one line

Through any three non collinear points, there is exactly one p…

A line contains at least two points

A plane contains at least three non collinear points

Postulate - 2.1

Through any two points, there is exactly one line

Postulate - 2.2

Through any three non collinear points, there is exactly one p…

Def. of congruent

Def. of midpoint

Segment bisector

Def. of acute

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Divides a segment into two congruent segments... Ex. If f is the…

Point, line, segment, Ray, or plane, that divides a segment in…

angle less than 90*

Def. of congruent

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Def. of midpoint

Divides a segment into two congruent segments... Ex. If f is the…

Collinear Points

Noncollinear Points

Coplanar Points

Noncoplanar

Points that are all in one line

Points that are not in one line

Points that are in one plane

Points that are in multiple planes

Collinear Points

Points that are all in one line

Noncollinear Points

Points that are not in one line

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…

If B is between A & C, then AB + BC = AC. ... (basically means: 2…

In a right triangle, leg squared + leg squared = hypotenuse sq…

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

Angle Addition Postulate

If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…

Segment Addition Postulate

If B is between A & C, then AB + BC = AC. ... (basically means: 2…

Reflexive

Symmetric

Transitive

Segment Addition Postulate

Line segment AB is congruent to line segment CD

If line segment AB is congruent to line segment CD, then line…

If line segment AB is congruent to line segment CD, and line s…

Two segments of a line added together to get the length of the…

Reflexive

Line segment AB is congruent to line segment CD

Symmetric

If line segment AB is congruent to line segment CD, then line…

Congruent Segments

Congruent Angles

Midpoint

Segment Bisector

Segments whose lengths are equal.

Angles whose measures are equal.

Point that divides a segment into 2 congruent segments.

Line (or part of a line) that intersects the segment at its mi…

Congruent Segments

Segments whose lengths are equal.

Congruent Angles

Angles whose measures are equal.

Linear Pair

Vertical Angles

Midpoint

Segment Bisector

Pair of adjacent angles whose non-common side are opposite rays

Two angles whose sides are opposite rays

A point that divides the segment into two congruent parts

The point, line, or ray that intersects at its midpoint

Linear Pair

Pair of adjacent angles whose non-common side are opposite rays

Vertical Angles

Two angles whose sides are opposite rays

base angles of an isosceles triangle

base of an isosceles triangle

coordinate proof

corollary to a theorem

The two angles adjacent to the base of an isosceles triangle.

The side of an isosceles triangle that is not one of the legs.

A style of proof that involves placing geometric figures in a…

A statement that can be proved easily using the theorem.... The…

base angles of an isosceles triangle

The two angles adjacent to the base of an isosceles triangle.

base of an isosceles triangle

The side of an isosceles triangle that is not one of the legs.

Def. of congruent

Def. of midpoint

Segment bisector

Def. of angle bisector

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Divides a segment into two congruent segments... Ex. If f is the…

Point, line, segment, Ray, or plane, that divides a segment in…

Ray that divides an angle into two congruent adjacent angles... E…

Def. of congruent

When two angles or lines are equal size. ... Ex. If line AD=BC th…

Def. of midpoint

Divides a segment into two congruent segments... Ex. If f is the…

Congruent Segments

Congruent Angles

Midpoint

Segment bisector

Segments whose lengths are equal

Angles whose measures are equal

Point that divides a segment into 2 congruent segments

Line (or part of a line) that intersects the segments at its m…

Congruent Segments

Segments whose lengths are equal

Congruent Angles

Angles whose measures are equal

Non-Vertical Lines Parallel Line Theorem

Non-Vertical Lines Perpendicular Line T…

Segment Addition Postulate

Angle Addition Postulate

Two non-vertical are parallel lines if and only if their slope…

Two non-vertical lines are perpendicular if and only if the pr…

Let A, B, & C, be collinear points. If B is between A & C, the…

If Point S is in the interior of Angle PQR, then m∠PQS + m∠SQR…

Non-Vertical Lines Parallel Line Theorem

Two non-vertical are parallel lines if and only if their slope…

Non-Vertical Lines Perpendicular Line T…

Two non-vertical lines are perpendicular if and only if the pr…

Quadrilateral

Parallelogram

5 Ways to Prove a Quadrilateral is also…

Symbol for Parallel

A polygon with 4 sides

A quadrilateral with 2 pairs of opposite sides that are //

1. Both Pairs of Opposite Sides are //... 2. Both Pairs of Opposi…

//

Quadrilateral

A polygon with 4 sides

Parallelogram

A quadrilateral with 2 pairs of opposite sides that are //

Quadrilateral

Parallelogram

5 Ways to Prove a Quadrilateral is also…

Symbol for Parallel

A polygon with 4 sides

A quadrilateral with 2 pairs of opposite sides that are //

1. Both Pairs of Opposite Sides are //... 2. Both Pairs of Opposi…

//

Quadrilateral

A polygon with 4 sides

Parallelogram

A quadrilateral with 2 pairs of opposite sides that are //

point

line

plane

Collinear points

has no dimension and is represented by a dot

has one dimension and is represented by a line with two arrowh…

has two dimensions. It is represented by a shape that looks li…

points that lie on the same line.

point

has no dimension and is represented by a dot

line

has one dimension and is represented by a line with two arrowh…

Congruent Segments

Congruent Angles

Midpoint

Segment bisector

Segments whose length are equal

Angles whose measures are equal

Point that divides a segment into 2 congruent segments

Line (or part of a line) that intersects the segment at its mi…

Congruent Segments

Segments whose length are equal

Congruent Angles

Angles whose measures are equal

If _______ lines are parallel to the __…

In a plane, if a line is perpendicular…

If 2 parallel lines are cut by a ______…

If 2 parallel lines are cut by a ______…

2; same; parallel

perpendicular

transversal; congruent; alternate exterior anglr postulate

transversal; supplementary; same-side exterior angle theorem

If _______ lines are parallel to the __…

2; same; parallel

In a plane, if a line is perpendicular…

perpendicular

Congruent Supplements Theorem

Vertical Angles Theorem

Alternate interior angles theorem

Alternate exterior angles theorem

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

Vertical angles are congruent.

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

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

Congruent Supplements Theorem

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

Vertical Angles Theorem

Vertical angles are congruent.

Linear pair

Angle bisector

Congruent angles

Congruent segments

Two adjacent angles that form online who's noncommon sides are…

A line, ray, or segment that divides an angle into two adjacen…

Angles that have the same measure

Segments that have the same length

Linear pair

Two adjacent angles that form online who's noncommon sides are…

Angle bisector

A line, ray, or segment that divides an angle into two adjacen…

point

plane

line

collinear points

a location (undefined term)

a flat surface made up of points; has no depth and extends ind…

made up of points and has no thickness or width (undefined ter…

points on the same line

point

a location (undefined term)

plane

a flat surface made up of points; has no depth and extends ind…