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- Geometry Mid-term study cards

Sarah S.

Counterexample

an example that shows that a conjucture is false.

point

- has no dimension

-represented by a small dot

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line

-extends in one dimension

-never ending

plane

extends in two dimensions

(i.e. table top or wall)

Collinear

"on the same line"

Coplanear

"on the same plane"

Segment Addition Postulate

*A_____________________B___________C*

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

The Distance Fomula

AB=(x2-x1)2 + (y2 -y1)2

(sq root of)

Congruent Segments

segments with the same length

Pythagorean Theorem

c2= a2 + b2

Angle Addition Postulate

m<ABC + m<CBD = m< ABD

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Midpoint Formula

(x1 + x2, y1 + y2)

----------------------------

( 2 2 )

Complementary

angles add up to 90 degrees

Supplementary

angles add up to 180 degrees

Conditional Statement

consists of a hypothesis and a conclusion

Perpendicular

lines intersect at a 90 degree angle

Biconditional Statement

"if and only if"

Law of Detatchment

if p-->q is a true conditional statement and p is true, the q is true

Addition Property

if a = b, then a + c = b + c

Subtraction Property

if a = b, then a - c = b - c

Multication Property

if a = b, then ac=bc

Division Property

if a = b and c = 0, then a / c = b / c

Reflexive Property

For andy real #... a = a

Symmetric Property

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

Transitive Property

if a = b, then b = a

Substitution Property

if a = b, then a can be substituted for b in any equation or expression

Properties of Segment Congruence

reflexive, symetric, and transitive

Right Angle Congruence Theorem

All right angles are congurent.

Congruent Supplements Theorem

If two angles are supplementary to the same angle then they are congruent

Congruent Complements Theorem

If two angles are complementary to the same angle then they are congruent

Vertical Angles Theorem

vertical angles are congruent

Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

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