# Study sets matching "pre ap geometry"

Study sets

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Supplementary Angles

Complementary Angles

Linear Pair

Vertical Angles

Angles that add to 180 degrees.... m<1+m<2=180

Two angles whose sum is 90 degrees.... m<1+m<2=90

A pair of adjacent angles whose noncommon sides are opposite r…

A pair of opposite congruent angles formed by intersecting lin…

Supplementary Angles

Angles that add to 180 degrees.... m<1+m<2=180

Complementary Angles

Two angles whose sum is 90 degrees.... m<1+m<2=90

Parallel Slope of a line

Perpendicular Slope of a line

Vertical Angles

Conditional Statement

Same Slope

Opposite Reciprocal (opposite sign and flip ratio)

Opposite angles that are congruent

p -> q (logically equivalent to contrapositive)

Parallel Slope of a line

Same Slope

Perpendicular Slope of a line

Opposite Reciprocal (opposite sign and flip ratio)

congruent

postulate

theorem

acute angle

identical in form; coinciding exactly when superimposed.

consists of a set of theorems, each derived from definitions,…

is a statement that has been proved on the basis of previously…

An angle that measures less than ninety degrees but more than…

congruent

identical in form; coinciding exactly when superimposed.

postulate

consists of a set of theorems, each derived from definitions,…

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Inductive reasoning

Conjecture

Counter example

Truth Value

reasoning using specific examples to arrive to a conclusion (a…

conclusion reached when using Inductive reasoning

a false example that shows a conjecture is not true

whether the statement is true or false

Inductive reasoning

reasoning using specific examples to arrive to a conclusion (a…

Conjecture

conclusion reached when using Inductive reasoning

Postulate

Theorem

Proof

POE

a statement that is accepted without proof. Basic ideas about…

a statement with proof that is accepted as true

a logical argument in which each statement you make is support…

property of congruence

Postulate

a statement that is accepted without proof. Basic ideas about…

Theorem

a statement with proof that is accepted as true

Perpendicular Bisector

Perpendicular Bisector Theorem

Converse of (the) Perpendicular Bisecto…

Angle bisector

a segment, ray, line, or plane that is perpendicular to a segm…

If a point is on the perpendicular bisector then it is equidis…

If a point is equidistant from the endpoints of a segment then…

a ray that divides an angle into two congruent angles

Perpendicular Bisector

a segment, ray, line, or plane that is perpendicular to a segm…

Perpendicular Bisector Theorem

If a point is on the perpendicular bisector then it is equidis…

Congruent Segments

Midpoint

Adjacent angles

Linear pair

segments that are the same size

the point halfway between the endpoints of a segment

two angles with a common vertex and side

adjacent angles that form a line (180 degrees)

Congruent Segments

segments that are the same size

Midpoint

the point halfway between the endpoints of a segment

Conjecture

Inductive Reasoning

Counterexample

Conditional Statement

An unproven statement that is based on observations.

You find a pattern in specific cases and then write a conjectu…

A specific case for which the conjecture is false.

A logical statement that has two parts, a hypothesis and a con…

Conjecture

An unproven statement that is based on observations.

Inductive Reasoning

You find a pattern in specific cases and then write a conjectu…

ruler postulate

Segment Addition Postulate (Seg. Add. P…

Protractor Postulate

Angle Addition Postulate

1.)points must be put on a number line... 2.)the distance between…

if B is between A and C, then AB+BC=AC (page 12 in book)

used to find the measure of an angle... 1.) take the absolute val…

m<AOB + m<BOC = m< AOC

ruler postulate

1.)points must be put on a number line... 2.)the distance between…

Segment Addition Postulate (Seg. Add. P…

if B is between A and C, then AB+BC=AC (page 12 in book)

Transformation

Preimage

Image

Prime notation

a change in position, side or shape of a geometric figure

points/figure before a transformation

points/figure after transformation

used to identify image points

Transformation

a change in position, side or shape of a geometric figure

Preimage

points/figure before a transformation

Parallel lines

Skew lines

Parallel planes

Transversal

two coplaner lines that do not intersect

lines that do not intersect and are not coplaner

two planes that do not intersect

a line that intersects two or more coplaner lines at two diffe…

Parallel lines

two coplaner lines that do not intersect

Skew lines

lines that do not intersect and are not coplaner

Kite

Trapezoid

Isosceles trapezoid

Parallelograms

-two pairs of consecutive congruent sides... -diagonals are perpe…

-one pair of parallel sides (bases)... -midsegment is parallel to…

-one pair of parallel sides (bases)... -two congruent legs... -base…

-opposite sides are congruent... -opposite angles are congruent... -…

Kite

-two pairs of consecutive congruent sides... -diagonals are perpe…

Trapezoid

-one pair of parallel sides (bases)... -midsegment is parallel to…

Substitution property

Reflexive property

Symmetric property

Transitive property

If a=b, then a can be substituted for b in any equation or exp…

Is used to prove congruence of geometric figures. This propert…

Property of equality for "a" and "b": if a=b then b=a

If a=b and b=c, then a=c (3 terms)

Substitution property

If a=b, then a can be substituted for b in any equation or exp…

Reflexive property

Is used to prove congruence of geometric figures. This propert…

Midsegment of a triangle

Triangle Midsegment theorem

Equidistant

Perpendicular Bisector theorem

A segment connecting the midpoints of two sides of the triangl…

If a segment joins the midpoint of two sides of a triangle, th…

A point is equidistant from two objects if it is the same dist…

If a point is on the perpendicular bisector of a segment, then…

Midsegment of a triangle

A segment connecting the midpoints of two sides of the triangl…

Triangle Midsegment theorem

If a segment joins the midpoint of two sides of a triangle, th…

altitude

orthocenter

Triangular inequality theorem

median

a segment that extends from a vertice and is perpendicular to…

formed by 3 intersecting alititudes

any two sides of a triangle must add up to be longer than the…

segment that connects a vertice of a triangle with the midpoin…

altitude

a segment that extends from a vertice and is perpendicular to…

orthocenter

formed by 3 intersecting alititudes

complementary angles

supplementary angles

axiom/postulate

concave

two or more angles that add up to 90°

two or more angles that add up to 180°

a statement that is regarded as being true

to cave inwards

complementary angles

two or more angles that add up to 90°

supplementary angles

two or more angles that add up to 180°

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Parallelogram

Kite

Trapezoid

Isosceles Trapezoid

both pairs opp. sides ||... both pairs opp. sides congruent... both…

2 pairs consec. sides are congruent... only 1 pair opp. angles ar…

1 pair opp. sides ||... 2 pairs of consec. angles are congruent

all props. of a trapezoid, plus... legs are congruent... diags. are…

Parallelogram

both pairs opp. sides ||... both pairs opp. sides congruent... both…

Kite

2 pairs consec. sides are congruent... only 1 pair opp. angles ar…

Leg 1... Leg 2... Hypotenuse

Similar

Geometric mean... A, B... X

Altitude... Geometric mean... Segments

Parts of a right triangle

**Theorem 8.1**... If the altitude is drawn to the hypotenuse of a…

The _____________ _____________ of two positive numbers ______…

**Geometric Mean (Altitude) Theorem**... The altitude drawn to the…

Leg 1... Leg 2... Hypotenuse

Parts of a right triangle

Similar

**Theorem 8.1**... If the altitude is drawn to the hypotenuse of a…

statement

truth value

negation

compound statement

a sentence that is either true or false

true (T) or false (F)

the opposite meaning and opposite truth value of a statement (…

two or more statements joined by the word AND or OR

statement

a sentence that is either true or false

truth value

true (T) or false (F)