#### Study sets matching "geo geometry"

#### Study sets matching "geo geometry"

Conditional (p = hypothesis, q = conclu…

Converse of conditional

Bioconditional

Law of Detachment

If p, then q... symbolic form p -> q

If q, then p... symbolic form q ->p

p if and only if q... symbolic form p <-->q

Given a true conditional p -> q: If p (hypothesis) is true, th…

Conditional (p = hypothesis, q = conclu…

If p, then q... symbolic form p -> q

Converse of conditional

If q, then p... symbolic form q ->p

Point

Line

Plane

Collinear

A point has no size.

Goes on forever in both directions.... Two points create a line.

A flat surface that has no thickness.... Three points create a pl…

Points that lie on the same line.... Points E, F, & C are colline…

Point

A point has no size.

Line

Goes on forever in both directions.... Two points create a line.

Nonadjacent exterior angles that lie on…

Nonadjacent interior angles that lie on…

A line that is added to a diagram to he…

Angles on the same side of the transver…

Alternate Exterior Angles

Alternate Interior Angles

Auxiliary Line

Corresponding Angles

Nonadjacent exterior angles that lie on…

Alternate Exterior Angles

Nonadjacent interior angles that lie on…

Alternate Interior Angles

Construction

Straightedge

Compass

Copying a segment

a geometric figure made with only a straightedge and compass.

a ruler with no markings on it.

a geometric tool used to draw circles and parts of circles cal…

Construction

a geometric figure made with only a straightedge and compass.

Straightedge

a ruler with no markings on it.

Complementary Angles

Supplementary Angles

Theorem

Vertical Angles

Two angles whose sum = 90

Two angles whose measure have a sum of 180

A statement that can be proven

Two angles formed by intersecting lines and facing the opposit…

Complementary Angles

Two angles whose sum = 90

Supplementary Angles

Two angles whose measure have a sum of 180

Image

Pre-Image

Transformation

Rigid Transformation / Isometry

The new, resulting figure after a transformation

The original shape prior to the transformation

General term for 4 specific ways to move/manipulate a figure.…

When an image is congruent to its original figure

Image

The new, resulting figure after a transformation

Pre-Image

The original shape prior to the transformation

undefined term

point

line

plane

a point, line, or plane because they can only be explained usi…

Location in space, it has no size

A collection of an infinite number of points in a straight pat…

a flat surface that extends forever

undefined term

a point, line, or plane because they can only be explained usi…

point

Location in space, it has no size

Definition Chapter 1... Conjecture

Definition Chapter 1... Inductive Reasoning

Definition Chapter 1... Counterexample

Definition Chapter 1... Point

An unproven statement based on observation

Look for patterns and ,making conjectures

A single example that shows a conjecture is false

Represented by a small dot, but has NO dimension

Definition Chapter 1... Conjecture

An unproven statement based on observation

Definition Chapter 1... Inductive Reasoning

Look for patterns and ,making conjectures

vertical angles

complementary angles

supplementary angles

transversal

The nonadjacent angles formed by two intersecting lines.

Two angles whose measures have a sum of 90°.

Two angles whose measures have a sum of 180°.

A line that intersects two coplanar lines at two different poi…

vertical angles

The nonadjacent angles formed by two intersecting lines.

complementary angles

Two angles whose measures have a sum of 90°.

If all three of the angles of a triangl…

If all three angles of an acute triangl…

If one of the angles of a triangle is a…

If one of the angles of a triangle is a…

Acute Triangle

Equiangular Triangle

Obtuse Triangle

Right Triangle

If all three of the angles of a triangl…

Acute Triangle

If all three angles of an acute triangl…

Equiangular Triangle

segment

ray

angle

sides of an angle

a part of a line bound by two distinct end points

a line with a starting point, but no end point

the space between two intersecting, usually measured in degree…

two rays intersecting at their endpoints

segment

a part of a line bound by two distinct end points

ray

a line with a starting point, but no end point

Radius

Diameter

Chord

Secant

Distance from the center of a circle to a point on the circle.

A chord the goes through the center of a circle. (segment from…

Segment from one side of the circle to the other. Doesn't need…

A line going through a circle.

Radius

Distance from the center of a circle to a point on the circle.

Diameter

A chord the goes through the center of a circle. (segment from…

The combination of a conditional statem…

A statement formed by combining two or…

The part of an if-then statement (condi…

A statement that includes a hypothesis…

Biconditional

Compound Statement

Conclusion

Conditional

The combination of a conditional statem…

Biconditional

A statement formed by combining two or…

Compound Statement

Inductive Reasoning

Converse

Inverse

Contrapositive

Based on PATTERNS

q→p (SWITCH the hypothesis & conclusion)

~p→~q (NEGATE both)

~q→~p (SWITCH & NEGATE)... Same truth value as original!

Inductive Reasoning

Based on PATTERNS

Converse

q→p (SWITCH the hypothesis & conclusion)

chord

diameter

radius

secant

A segment whose endpoints lie on a circle

A chord that passes through the center of the circle

A straight line from the center to the circumference of a circ…

A line that intersects a circle in two points

chord

A segment whose endpoints lie on a circle

diameter

A chord that passes through the center of the circle

vector

initial point

terminal point

translation

A quantity that has both magnitude and direction.

The starting point.

The endpoint.

A transformation that shifts or slides every point of a figure…

vector

A quantity that has both magnitude and direction.

initial point

The starting point.

Point

Line

Plane

Line Segment

A location in space that has no length, width, or depth.

Made up of an infinite number of points. Has infinite length,…

A flat surface that has infinite length and width, but no dept…

A part of a line between two points.

Point

A location in space that has no length, width, or depth.

Line

Made up of an infinite number of points. Has infinite length,…

Geometric mean

Pythagorean triple

Trigonometry

Trigonometric ratio

The positive square root of the product of 2 numbers

A set of three nonzero whole numbers a,b, and c such that sum…

Invovles triangle measure

the ratio of the length of two sides of a right triangle

Geometric mean

The positive square root of the product of 2 numbers

Pythagorean triple

A set of three nonzero whole numbers a,b, and c such that sum…

An angle whose measure is between 0 and…

Two coplanar angles that have a common…

A figure formed by two rays with the sa…

A ray that divides an angle into two co…

Acute Angle

Adjacent Angles

Angle

Angle Bisector

An angle whose measure is between 0 and…

Acute Angle

Two coplanar angles that have a common…

Adjacent Angles

point

line

line segment

ray

a location or position in space

an infinite set of points with no endpoints

two endpoints with all the points in between

part of a line, consisting of one endpoint and all the points…

point

a location or position in space

line

an infinite set of points with no endpoints

indirect proof

The measure of an exterior angle of a t…

If two lines are cut by a transversal s…

If two lines are cut by a transversal s…

a type of proof where it is first assumed that the statement i…

either remote interior angle

then lines are parallel

the lines are parallel

indirect proof

a type of proof where it is first assumed that the statement i…

The measure of an exterior angle of a t…

either remote interior angle