#### Study sets matching "geometry flashcards"

#### Study sets matching "geometry flashcards"

postulate 1-1 (line)

postulate 1-2 (intersecting lines)

postulate 1-3 (intersecting planes)

postulate 1-4 (plane)

through any two points there is exactly one line.

if two distinct lines intersect, then they intersect in exact…

if two distinct planes intersect, then they intersect in exac…

through any three noncollinear points there is exactly one pl…

postulate 1-1 (line)

through any two points there is exactly one line.

postulate 1-2 (intersecting lines)

if two distinct lines intersect, then they intersect in exact…

Line Segment

Ray

Opposite Rays

Angle

The part of a line that connects two points.It has definite e…

A portion of a line which starts at a point and goes off in a…

Two rays with a common endpoint that point in opposite direct…

The amount of turn between two straight lines that have a com…

Line Segment

The part of a line that connects two points.It has definite e…

Ray

A portion of a line which starts at a point and goes off in a…

Circle

Radius

Diameter

Chord

a round plane figure whose boundary (the circumference) consi…

a straight line from the center to the circumference of a cir…

a straight line passing from side to side through the center…

a group of (typically three or more) notes sounded together,…

Circle

a round plane figure whose boundary (the circumference) consi…

Radius

a straight line from the center to the circumference of a cir…

distance formula

slope formula

midpoint formula

to prove a triangle is isosceles

(X2-X1)2 + (Y2-Y1)2 all over square root ... used for congruency

Y2-Y1/ X2-X1 ... if equal to each other, then parallel ... if negat…

(X1+X2/2) (Y2-Y1/2)... used to prove that diagonals bisect each…

show that two sides are congruent using distance formula

distance formula

(X2-X1)2 + (Y2-Y1)2 all over square root ... used for congruency

slope formula

Y2-Y1/ X2-X1 ... if equal to each other, then parallel ... if negat…

point

line

plane

collinear points

a location. has neither size nor shape. named by a capital le…

made up of points, has no thickness or width. exactly 1 line…

a flat surface made up of points that extend infinitely in al…

points that lie on the same line

point

a location. has neither size nor shape. named by a capital le…

line

made up of points, has no thickness or width. exactly 1 line…

Quadrilateral

Parallelogram

Rhombus

Rectangle

4 sides, Interior angle sum is 360

Opposite sides are congruent... Opposite angles are equal... Diagon…

Parallelogram with 4 congruent sides... Diagonals are perpendicu…

All angles 90 degrees... Diagonals are congruent

Quadrilateral

4 sides, Interior angle sum is 360

Parallelogram

Opposite sides are congruent... Opposite angles are equal... Diagon…

Angle

Sides

Vertex

Acute Angle

The amount of turn between two straight lines that have a com…

The ray where measurement of an angle starts.

A point where two or more straight lines meet. A corner.

An Acute Angle is less than 90°

Angle

The amount of turn between two straight lines that have a com…

Sides

The ray where measurement of an angle starts.

Angle

Sides

Vertex

Acute Angle

An angle is formed by two rays with the same endpoint. The ra…

One of the lines that make a flat (2-dimensional) shape. Or o…

A point where two or more straight lines meet. A corner.

An angle whose measure is between 0 and 90.

Angle

An angle is formed by two rays with the same endpoint. The ra…

Sides

One of the lines that make a flat (2-dimensional) shape. Or o…

Point

Line

Opposite rays

Line segment

A location. No length or width. Point P or P(3,4)

Only one dimension, continues forever. Notation with 2 arrows…

Two collinear Rays with the same endpoint, form a line. Notat…

Portion of a line strictly between two points. Just line over…

Point

A location. No length or width. Point P or P(3,4)

Line

Only one dimension, continues forever. Notation with 2 arrows…

Triangle Midsegment Theorem

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

If a segment joins the midpoints of two sides of a triangle,…

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

If a point is equidistant from the endpoints of a segment, th…

If a point is on the bisector of an angle, then the point is…

Triangle Midsegment Theorem

If a segment joins the midpoints of two sides of a triangle,…

Perpendicular Bisector Theorem

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

Midsegment theorem

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector theorem

The segment connecting the midpoints of two sides of a triang…

In a plane, if a point is on the perpendicular bisector of a…

In a plane, if a point is equidistant from the endpoints of a…

If a point is on the Bisector of an angle, the it is equidist…

Midsegment theorem

The segment connecting the midpoints of two sides of a triang…

Perpendicular Bisector Theorem

In a plane, if a point is on the perpendicular bisector of a…

a conditional and it's

a converse and

Law of Detatchment

Law of Syllogism

contrapositive are logically equivalent

inverse of a conditional are logically equivalent

if p -->q is true and p is true, then q is true

q=p p=r q=r

a conditional and it's

contrapositive are logically equivalent

a converse and

inverse of a conditional are logically equivalent

concurrent

equidistant

point of concurrency

circumcenter

three or more lines, rays, or segments intersect in the same…

a point is ________ from two figures when the point is the sa…

the point of intersection of the lines, rays, or segments

the three perpendicular bisectorn are concurrent, the point o…

concurrent

three or more lines, rays, or segments intersect in the same…

equidistant

a point is ________ from two figures when the point is the sa…

concurrent

point of concurrency

concurrency of perpendicular bisectors

circumcenter of a triangle

three or more lines intersect

where concurrent lines meet

the perpendicular bisectors of the sides of a triangle are co…

point of concurrency of the PERPENDICULAR BISECTORS of a tria…

concurrent

three or more lines intersect

point of concurrency

where concurrent lines meet

shapes

polygon

geometrical

geometry

Forms such as circles, squares, triangles, rectangles, etc.

three line segments

describing shapes like squares, rectangles or circles.

the pure mathematics of points and lines and curves and surfa…

shapes

Forms such as circles, squares, triangles, rectangles, etc.

polygon

three line segments

Line Segment

Vertex (Verticies)

Line

Point

This is partof a line. It has two endpoints and includes all…

The endpoint created where to rays or line segments meet.

A collection of points that goes on and on infinitely in both…

A location in space with no length, width, or height

Line Segment

This is partof a line. It has two endpoints and includes all…

Vertex (Verticies)

The endpoint created where to rays or line segments meet.

opposite sides are parallel

all sides are congruent

all angles are congruent right angles

diagonals bisect eachother

parrallelogram,rectangle,square,rhombus

square rectangle rhombus

square rectangle

all

opposite sides are parallel

parrallelogram,rectangle,square,rhombus

all sides are congruent

square rectangle rhombus

AAS (angle-angle-side)

ASA (angle-side-angle)

SSA (side-side-angle)

AA (angle-angle-angle)

2 angles are congruent and 1 side length is the same

2 angles are congruent and 1 side is the same (side must be p…

2 sides have the same ratio and 1 angle is congruent

When 2 angles are congruent (must be marked)

AAS (angle-angle-side)

2 angles are congruent and 1 side length is the same

ASA (angle-side-angle)

2 angles are congruent and 1 side is the same (side must be p…

parallelograms

Corresponding angles

alternate interior

alternate exterior

Opposite sides are always congruent... opposite sides are parall…

angles that lie on the same side of the transversal and on th…

angles that lie on opposite sides of the transversal between…

angles that lie on opposite sides of the transversal outside…

parallelograms

Opposite sides are always congruent... opposite sides are parall…

Corresponding angles

angles that lie on the same side of the transversal and on th…

Net

Collinear

Coplaner

Opposite Rays

A net is the shape that is formed by unfolding a three-dimens…

Three or more points are said to be collinear if they lie on…

Coplanar points are three or more points which lie in the sam…

Opposite math rays are rays with a common endpoint, extending…

Net

A net is the shape that is formed by unfolding a three-dimens…

Collinear

Three or more points are said to be collinear if they lie on…

Point

Line

Ray

Segment

A location with no size. Named with a capital letter.

A series of points that extend in opposite directions without…

A part of a line with one endpoint, and all the points are on…

Part of a line with two endpoints, and all of the points betw…

Point

A location with no size. Named with a capital letter.

Line

A series of points that extend in opposite directions without…

Polygon

Regular Polygon

Concave

Convex

figure that all sides have a common endpoint to each side int…

all sides and angles are congruent

a line containing a side of polygon and contains a point in t…

a polygon with no line on both sides and a point in the inter…

Polygon

figure that all sides have a common endpoint to each side int…

Regular Polygon

all sides and angles are congruent

Supplementary Angles

Interior of an Angle

Exterior of an Angle

Vertical Angles

Two angles whose measures have a sum of 180 degrees

The set of all points between the sides of an angle

The set of all points outside an angle

The non adjacent angles formed by two intersecting lines

Supplementary Angles

Two angles whose measures have a sum of 180 degrees

Interior of an Angle

The set of all points between the sides of an angle

Line

Segment

Ray

Congruent segments

set of points which had infinite length but no width or heigh…

part of a line that consists of two points called endpoints a…

is the of a line that contains an endpoint and all points ext…

segment that has the same length

Line

set of points which had infinite length but no width or heigh…

Segment

part of a line that consists of two points called endpoints a…

Parallel lines

Skew lines

Corresponding angles

Perpendicular lines

Coplaner lines that do not intersect

Noncoplaner; they are not parallel and do not intersect

Angles in the same position

Intersecting

Parallel lines

Coplaner lines that do not intersect

Skew lines

Noncoplaner; they are not parallel and do not intersect

angle

full angle

bisector of an angle

central angle

a figure formed by two rays drawn from the same point.

when angles are added in such a way that the first side of th…

a line or ray that cuts the angle in two equal sizes

The angle formed by two radii of a circle

angle

a figure formed by two rays drawn from the same point.

full angle

when angles are added in such a way that the first side of th…

Equal

Congruent

Angle Bisector

Perpendicular lines

For measurement (numbers) (side lengths).

"The same" comparing shapes, angles and sides (not side lengt…

A ray that divides an angle into 2 congruent angles. The ray…

Perpendicular lines cross creating a 90 degree angle.

Equal

For measurement (numbers) (side lengths).

Congruent

"The same" comparing shapes, angles and sides (not side lengt…

midsegment

midpoint

perpendicular bisector

Equidistant

Connects the midpoints of two sides in a triangle. It is para…

A point that divides a segment into two congruent pieces (in…

A line that is perpendicular to a segment at its midpoint (cu…

The same distance

midsegment

Connects the midpoints of two sides in a triangle. It is para…

midpoint

A point that divides a segment into two congruent pieces (in…

Reflection over the x-axis

Reflection over y-axis

Reflection over y=x

Reflection over y=-x

The x-points stay the same. The y-points change negativity/ p…

The x-values go to the opposite charge. The y-values stay the…

The two points switch places (x,y) = (y,x)

The two points switch places and change charge (x,y)= (-y,-x)

Reflection over the x-axis

The x-points stay the same. The y-points change negativity/ p…

Reflection over y-axis

The x-values go to the opposite charge. The y-values stay the…

postulate 3-1 (corresponding angles po…

theorem 3-1 (alternate interior angles…

theorem 3-2 (sameside interior angles…

theorem 3-3 (alternate exterior angles…

if a transversal intersecting two parallel lines, then corres…

if a transversal intersects two parallel lines, then alternat…

if a transversal intersects two parallel lines, then sameside…

if a transversal intersects two parallel lines, then alternat…

postulate 3-1 (corresponding angles po…

if a transversal intersecting two parallel lines, then corres…

theorem 3-1 (alternate interior angles…

if a transversal intersects two parallel lines, then alternat…

centroid

median

incenter

circumcenter

the center if gravity in a triangle

the center point of a line

point in the triangle that allows a circle to be drawn and to…

the point in the triangle that allows a circle to be drawn an…

centroid

the center if gravity in a triangle

median

the center point of a line

Perpendicular Bisector Theorem

Converse of Perpendicular Bisector The…

Angle Bisector Theorem

Centroid Theorem

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

Converse of the Perpendicular Bisector Theorem: If a point is…

An angle bisector of an angle of a triangle divides the oppos…

The centroid of a triangle is the point where the three media…

Perpendicular Bisector Theorem

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

Converse of Perpendicular Bisector The…

Converse of the Perpendicular Bisector Theorem: If a point is…

opposite sides are parallel (both pairs)

all sides are congruent

all angles are congruent right angles

diagonals bisect each other

parallelogram, rectangle, rhombus, square

rhombus, square

rectangle, square

parallelogram, rectangle, rhombus, square

opposite sides are parallel (both pairs)

parallelogram, rectangle, rhombus, square

all sides are congruent

rhombus, square

congruent angles

congruent segments

angle bisector

complementary angles

if two angles have the same degree of measure, then they are…

if two segments have the same length, then they are conguent

If a ray bisects an angle, then it divides then angle into tw…

if two angles are complementary angles, then the sum of their…

congruent angles

if two angles have the same degree of measure, then they are…

congruent segments

if two segments have the same length, then they are conguent

definition of midpoint of a segment

definition of supplementary angles

definition of complementary angles

definition of congruent angles

G: line segment... P: the point that divides the segment into 2…

G: m<3+m<4=180*... P: <3 supp <4

G: m<1+m<2=90*... P: <1 comp <2

G: m<1 = m<2... P: m<1 is congruent to m<2

definition of midpoint of a segment

G: line segment... P: the point that divides the segment into 2…

definition of supplementary angles

G: m<3+m<4=180*... P: <3 supp <4

If angle A and B are complementary, th…

If angle A and B are supplementary, th…

If Line AB is perp to Line BC, then An…

Vertical Theorem

Definition Of Complementary Angles

Definition of Supplementary Angles

Definition of Perpendicular lines

Vertical angles are congruent

If angle A and B are complementary, th…

Definition Of Complementary Angles

If angle A and B are supplementary, th…

Definition of Supplementary Angles

Plane

Linear Pair

Supplementary

Complimentary

A flat surface that extends without an end

Two adjacent angles that make a line (always supplementary)

Two angles that add up to 180

Two angles that add up to 90

Plane

A flat surface that extends without an end

Linear Pair

Two adjacent angles that make a line (always supplementary)

Point

Line

Plane

Collinear

An exact location. It has no size, only position.

Straight (no curves), has no thickness, and extends in both d…

In mathematics, a plane is a flat, two-dimensional surface th…

When three or more points lie on a straight line.... Two points…

Point

An exact location. It has no size, only position.

Line

Straight (no curves), has no thickness, and extends in both d…

Volume

Vertex

Tree Diagram

Theoretical Probability

the amount of space that a substance or object occupies, or t…

each angular point of a polygon, polyhedron, or other figure;…

all possible outcomes of a number or solution, in the form of…

the number of ways that the event can occur, divided by the t…

Volume

the amount of space that a substance or object occupies, or t…

Vertex

each angular point of a polygon, polyhedron, or other figure;…