# Study sets matching "geometry i"

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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

Collinear

Linear Pair

Supplementary angles

Vertical Angles

Points that lie on the same line

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

Two angles whose sum is 180 degrees

A pair of opposite congruent angles formed by intersecting lin…

Collinear

Points that lie on the same line

Linear Pair

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

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acute triangle

equiangular triangle

obtuse triangle

right triangle

a triangle with 3 acute angles

a triangle with 3 congruent acute angles

a triangle with one obtuse angle

a triangle with one right angle

acute triangle

a triangle with 3 acute angles

equiangular triangle

a triangle with 3 congruent acute angles

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

parallel lines

parallel planes

skew lines

transversal

coplanar lines that do not intersect

planes that do not intersect

lines that do not intersect and are not coplanar

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

parallel lines

coplanar lines that do not intersect

parallel planes

planes that do not intersect

Angle (diagram)

Point

Line

Plane

An exact position or location;has neither shape nor size. 0 di…

An infinite set of points extending in opposite directions; ha…

A flat, infinite surface defined by three different points not…

Angle (diagram)

Point

An exact position or location;has neither shape nor size. 0 di…

TRANSFORMATION

PRE-IMAGE

IMAGE

RIGID MOTION

When you move or change an object

The figure before the transformation

The figure after the transformation

Transformations that keep the object the same (pre-image and i…

TRANSFORMATION

When you move or change an object

PRE-IMAGE

The figure before the transformation

Point

Line

Plane

Collinear Points

a location; has no size

a straight path that extends in two opposite directions withou…

a flat surface that extends without end and has no thickness;…

points that lie on the same line

Point

a location; has no size

Line

a straight path that extends in two opposite directions withou…

Geometry

Point

Line

Plane

The study of earth measure.

Has location, but no size.

A straight, continuous arrangement of infinitely many points.…

Has length and width but no thickness. It is a flat surface th…

Geometry

The study of earth measure.

Point

Has location, but no size.

classify

differentiate

test

parallel lines

first thing a good definition does

second thing a good definition does

look for a counterexample to a proposed definition

COPLANAR lines that never intersect

classify

first thing a good definition does

differentiate

second thing a good definition does

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,…

right triangle

acute triangle

obtuse triangle

scalene triangle

a triangle with exactly 1 right angle

a triangle with 3 acute angles

a triangle with exactly 1 obtuse angle

a triangle with no congruent sides

right triangle

a triangle with exactly 1 right angle

acute triangle

a triangle with 3 acute angles

Plane

Line

Perpendicular Lines

Parallel Lines

A set of points that extends without end in all directions alo…

A set of points that extends without end in 2 opposite directi…

Two lines that intersect at a 90 degree angle

Lines that never touch and are on the same plane.

Plane

A set of points that extends without end in all directions alo…

Line

A set of points that extends without end in 2 opposite directi…

PARALLEL LINES

PARALLEL PLANES

PERPENDICULAR LINES

PERPENDICULAR PLANS

Lines that never intersect

Planes that never intersect

Lines that intersect and form 4 right angles

Planes that intersect and form right angles

PARALLEL LINES

Lines that never intersect

PARALLEL PLANES

Planes that never intersect

acute angle

adjacent angles

angle

angle bisector

An angle that measures greater than 0 and less than 90 degrees.

Two angles in the same plane with a common vertex and a common…

A figure formed by two rays with a common endpoint.

A ray that divides an angle into two congruent angles.

acute angle

An angle that measures greater than 0 and less than 90 degrees.

adjacent angles

Two angles in the same plane with a common vertex and a common…

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

Point

Line

3. Plane

5. Collinear

has no size; length, width, or height. It is represented by a…

- set of points which has infinite length but no width or heig…

is a flat surface that has no thickness and extends forever.

points that lie on the same line.

Point

has no size; length, width, or height. It is represented by a…

Line

- set of points which has infinite length but no width or heig…

Point

Line

Given any two points, how many lines ca…

Colinear

A dot or location in space or on a plane. It has no length, wi…

A straight line that goes on forever in both directions. A lin…

1

A collection of points that can have a line drawn that passes…

Point

A dot or location in space or on a plane. It has no length, wi…

Line

A straight line that goes on forever in both directions. A lin…

Inductive Reasoning

Conjecture

Counterexample

Addition Property of Equality

It is used to draw a conclusion based on a pattern.

A statement that is believed to be true.

It is an example that proves a conjecture or statement is fals…

Adding the same number to both sides of an equality to get an…

Inductive Reasoning

It is used to draw a conclusion based on a pattern.

Conjecture

A statement that is believed to be true.

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acute angle

adjacent angles

angle

angle bisector

An angle that measures greater than 0 and less than 90 degrees.

Two angles in the same plane with a common vertex and a common…

A figure formed by two rays with a common endpoint.

A ray that divides an angle into two congruent angles.

acute angle

An angle that measures greater than 0 and less than 90 degrees.

adjacent angles

Two angles in the same plane with a common vertex and a common…

Acute angle

adjacent angle

angle

angle bisector

an angle with a degree measure less than 90

two angles that lie in the same plane, have a common vertex an…

the intersection of 2 noncollinear rays at a common endpoint.…

a ray that divides an angle into two congruent angles

Acute angle

an angle with a degree measure less than 90

adjacent angle

two angles that lie in the same plane, have a common vertex an…

Segment

Ray

Opposite rays

Intersection

A part of a line with 2 endpoints

A part of a line, with one endpoint, that continues without en…

2 rays that have the same endpoint and go in opposite directio…

the point at which two lines or roads meet and cut across each…

Segment

A part of a line with 2 endpoints

Ray

A part of a line, with one endpoint, that continues without en…

Line

Ray

Line Segment

Angle

A straight path that goes without end in two directions.

Part of a line that has one end point and goes in one directio…

Part of a line with two end points.

Two rays with the same end point.

Line

A straight path that goes without end in two directions.

Ray

Part of a line that has one end point and goes in one directio…