Level 164
Level 166

#### 52 words 0 ignored

Ready to learn
Ready to review

## Ignore words

Check the boxes below to ignore/unignore words, then click save at the bottom. Ignored words will never appear in any learning session.

**Ignore?**

Congruent

A plane figure with the same size and shape.

common

Vertical Angles have no _____________________________ rays.

adjacent, supplementary

Linear pairs are two _______________ angles that are also ______________________.

Bisector

if a line bisects a line segment, then it intersects it at its midpoint

Addition Property of Equality

For all real numbers x, y, and z, if x = y, then x + z = y + z.

If a=b, then a-c=b-c

Subtraction Property of Equality

Substitution Property of Equality

For all real numbers x and y, if x = y , then y can be substituted for x in any expression and vice versa.

Multiplication Property of Equality

For all real numbers x, y, and z, if x = y, then xz = yz.

Division Property of Equality

For all real numbers x, y, and z, if x = y, and z ≠ 0, then x/z = y/z. You can divide each side of an equation by the same non-zero number and not change its truth value.

one

MULTIPLICATIVE IDENTITY

Line

A straight path that goes without end in two directions.

True

True or False? Through any three noncollinear points there is exactly one plane.

coordinate

The number that corresponds to a point on a number line

Midpoint

if a line segment has a midpoint, then the 2 segments formed are congruent

90

A right angle equals _________ degrees.

Vertical angles theorem

If two angles are vertical angles, then they are congruent.

Angle 1 and Angle 2

If angle 1 and angle 3 are supplements and angle 2 and angle 3 are supplements, then angle __ and angle __ are congruent due to the Congruent Supplements Theorem.

Congruent supplements theorem

if two angles are supplementary to the same angle (or to congruent angles), then they are congruent

Reflexive Property

Anything equals itself; a shared piece.

Symmetric Property

when two segments or two angles are congruent, you can flip them over and they will still be congruent

Transitive Property

if two segments or two angles are congruent to the same segment of angle, they are congruent to each other

addition postulate

if congruent segments are added to other congruent segments, then the sums are congruent// if congruent angles are added to other congruent angles, then the sums are congruent

subtraction postulate

if congruent segments are subtracted from other congruent segments, then the differences are congruent// of congruent angles are subtracted from other congruent angles, then the differences are congruent

Side-Side-Side (SSS)

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Partition Postulate

The whole is equal to the sum of its parts.

Right Angles

if 2 angles are right angles, then they're congruent

Linear pair

A pair of adjacent angles whose non-common sides are opposite rays.

Vertical Angles

Angles opposite one another when two lines intersect.

Subtraction Property of Equality

For all real numbers x, y, and z, if x = y, then x - z = y - z.

a/c = b/c

division property of equality

<b~= <b

reflexive property of congruence

Symmetric Property of Congruence

If line AB is congruent to line CD, then line CD is congruent to line AB.

transitive property of congruence

If line AB is congruent to line CD and line CD is congruent to line EF, then line AB is congruent to line EF.

Definition of complementary

angles that add up to 90

Definition of supplementary

angles that add up to 180

--abc~=---bcd

Definition of congruent segments

<ab~=<bc

Definition of congruent angles

A-------B---------C

Definition of segment bisector

A C

Definition of angle bisector

i

All right angles are congruent

Congruent Complements Theorem

if two angles are complementary to the same angle (or to congruent angles), then they are congruent

PT=2(OT)

midpoint theorem

Common Segments Theorem

Given collinear points A, B, C, and D arranged as shown, if segment AB is congruent to segment CD, then segment AC is congruent to segment BD.

Congruent supplementary angles are right angles

angles that add up to 90

Corresponding angles postulate and the converse

an angle that is located outside and an angle that is located inside that is directly under the first one

Alternate interior angles theorem and the converse

angles that are located inside that are opposite of each other

Alternate exterior angles theorem and the converse

angles that are located outside that are opposite of each other

same side interior theorem and the converse

Angles that are located inside that are on the same line

Parallel Postulate

if there is a line and a point not on the line then there is exactly one line through the point parallel to the given line

If <1 and <2 equivalent and adjacent then A is perpendicular to B

If two lines intersect to form congruent adjacent angles, then the lines are perpendicular

perp to one perp to the angle

If a transversal is perpendicular to one of two parallel lines, then its perpendicular to the other

If two lines are perpendicular to the same lines, then they are parallel

If A is perpendicular to C and B is perpendicular to C then A is parallel to B