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19 Cards in this Set

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  • Back
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Addition Postulate

If a=b and c=d, then a+c=b+c (or a+c=b+d).

1.4

Subtraction postulate

If a=b and c=d, then a-c=b-d.

1.4

Multiplication postulate

If a=b, then ca=cb.

1.4

Division Postulate

If a=b, and c does not = 0, then a/c=b/c.

1.4

Reflexive property

A=a


Any quantity is equal to itself

1.4

Symmetric property

If a=b, then b=a

1.4

Transitive property

If a=b and b=c, then a=c

Substitution property

If a=b, then b may be subbed in for a whenever

Thru any 2 points

There is exactly one line

Thru any 3 points

There is at least one plane

Thru any 3 non-collinear poi ts

There is exactly one plane

If 2 points are in a plane

Then the line joining the points is on that plane

The intersection of 2 planes

A line

Segment addition postulate

If B is between A and C, then AB+BC=AC

Ruler postulate

Points on a line can be matched with real numbers

SSS Postulate

If 3 sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

SAS postulate

If 2 sides and the included angle of one triangle are equal to the corresponding parts (2 sides and the included angle) if another triangle, then the triangles are congruent.

ASA postulate

If 2 angles and the included side of 1 triangle are equal to 2 angles and the included side of another triangle, then the triangles are congruent.

SSS Similarity Postulate

If u have 2 triangles and the three sides of one triangle are in proportion to tthe three sides of the other triangle, then the triangles are similar.