Level 153
Level 155

#### 38 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?**

Transitive Axiom

Things equal or congruent to the same or other things, are equal or congruent to each other. If x=y and y=z, then x=z!

Substitution Axiom

A quantity may be substituted for an equal quantity in any expression or equation. If x=y and y=z, then x=z! a+6=10 is equal to a+(2)(3)=10

Partition Axiom

The whole equals the sum of it's parts.

Idenity or Reflexive Axiom

Any quantity (amount) is equal to itself. 64=64

Addition Axiom

If equals are added to equals, the sums are equal. 6+8+2 is equal to 14+2

Subtraction Axiom

If equals are subtracted from equals, the differences are equal.

Multiplication Axiom

If equals are multiplied with equals, the products are equal.

Division Axiom

If equals are divided by equals, the quotients are equal. Alsos, halves of equals are equal.

Powers Axiom

Like powers of equals are equal. If x=y then x2=y2

Roots Axiom

Like roots of equals are equal. if x=y then x1/2=y1/2 (their sq roots are the same)

One Line Postulate

Only one straight line can be drawn between any two points. Line AB is the only straight line between points A and B.

Shortest Distance Postulate

The shortest distance between any two points is the straight line that is drawn between them.

Line has Two points Postulate

Any line contains at least two points.

Two points One line Postulate

through any two points there is one and only one line.

Line Intersection Postulate

two straight lines can intersect each other at one and only one point.

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

Perpendicular through line postulate

One and only one perpendicular line can be drawn to or through any point on a line (in a plane).

Perpendicular point to line postulate

One, and only one, perpendicular line can be drawn from or through any point not on a line to that line.

Parallel Transversal postulate

If two parallel lines are cut by a transversal, then corresponding angles are congruent. (ex. p.18)

Midpoint postulate

Any straight line segment will have only one midpoint.

Segment Addition Postulate

If A, B, and C are collinear, then point B is between A and C if and only if AB + BC = AC.

Angle bisector postulate

Any angle has one and only one bisector. (The 2 angles formed by the bisector are congruent)

Angle Addition Postulate

D is in the interior of angle ABC and only if m<ABD + m<DBC = m<ABC.

Arc Sum Postulate

If point B is one arcABC, then the two arcs formed, arcAB and arcBC, sum to the total length of arcABC.

Plane has 3 points postulate

Any plane has at least 3 coplanar noncollinear points.

Three points one plane postulate

Through any three noncollinear points, there is one and only one plane. Also, through any three linear points, there is at least one plane.

Two points and line in plane postulate

If two points lie in a plane, then the line joining them lies in the plane.

Intersection of planes postulate

If two planes intersect, their intersection is a line. (p21)

Four points in space postulate

Space contains at least four points not in the same plane

One circle per radius postulate

One and only one circle can be drawn for a given radial distance r about any center point. (p21)

Change position postulate

Any geometric figure can be moved or relocated to a new position without changing the figure's size or shape.

Area Addition Postulate

(Postulate) The area of a region is the sum of the areas of its non-overlapping parts.

Area congruence postulate

Congruent figures have equal areas

Area square/rectangle postulate

area formula for a square is s2. area formula for a rectangle is bh or lw

SSS triangle congruence postulate

If the 3 sides of one triangle are congruent to the 3 sides of another triange then the triangles are cogruent.

SAS triangle congruence postulate

If two angles and the included angle of one triangle are congruent to the two sides and the included angle of another triangle, then the triangles are congruent.

ASA triangle congruence postulate

Two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle.

AA similarity triangle postulate

If two angles of the one triangle are congruent to two angles of another triangle, then the triangles are SIMILAR.