FINAL MATH REVIEW

Conditional statement

An if-then statement

Negation

Stating the opposite of as statement

Converse

The conditional statement flipped

Inverse

Negating the conditional

Contrapositive

negating the converse

Conjuncture

Making a conclusion based on a observation

Law of syllogism

If one statement leads to a second, and the second leads to a third, then the first leads to the third.

biconditional statement

A statement that is true both ways, written as p and only if q

reflexive propety

a=a

Symmetric propety

if a=b then b=a

transitive propety

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

inductive reasoning

Observation,pattern,conclusion

detuctive reasoning

facts,observation,conclusion

Scalene Triangle

No congruent SIdes

Isosceles Triangle

At least 2 congruent sides

Equilateral Traingle

3 congruent sides

Acute

smaller than 90 degrees

Obtuse

More than 90

Triangle sum therom

The exterior angle of a Traingle equals the sum of the opposite two interior angles

Right triangle

1 right angle

Side Angle Side Theorem

2 sides and the angle between them are the same

Angle Side Angle Theorem

2 angles and the side between them are the same

2 angles and a non included side are the same

side side side

All 3 sides are the same

Hypotenuse Theorem

In right triangles, hypotenuse and 1 leg are the same

Parallel lines

Lines that do not intersect.

Skew lines

Lines that do not intersect and are not coplanar.

Parallel planes

Planes that do not intersect.

Corresponding angles

Angles that have corresponding positions.

Alternate interior angles

Angles that lie between the two lines and on opposite sides of the transversal.

Alternate exterior angles

Angles that lie outside the two lines and on opposite sides of the transversal.

Consecutive interior angles

Angles that lie between the two lines and on the same side of the transversal.

Corresponding Angles Theorem

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

Alternate Interior Angles Theorem

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

Alternate Exterior Angles Theorem

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

Consecutive Interior Angles Theorem

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Transversal

Line that intersects

Perpinduclar

intersecting at 90 degrees

What is this

Perpendicular

What is this

Parallel

What is slope intercept form

y=mx+b

What is point slope form

y-y1=m(x-x1)

Parrel

slopes are the same

Perpendicular

flip the slope and switch the sign

What does a linear function represent

a straight line on a graph

system of linear equations

a set of two linear equations with two variables

Alternate exterior angles

Are congruent

On a graph <,>

dotted

Shade the region that makes the inequality____

True

Midpoint formula

x1+x2/2, y1+y2/2

Complementary

90

Supplementary

180

Translate

A move that slides a shape in any direction without turning or flipping it.

Bisects

Divides into 2 equal parts