#### Study sets matching "3 jurgensen geometry"

#### Study sets matching "3 jurgensen geometry"

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 2-1 (Midpoint Theorem)

If two lines intersect, then they intersect in exactly one po…

Through a line and a point not in the line there is exactly o…

If two lines intersect, then exactly one plane contains the l…

If M is the midpoint of AB, then AM=v½ AB and MB= ½ AB

Theorem 1-1

If two lines intersect, then they intersect in exactly one po…

Theorem 1-2

Through a line and a point not in the line there is exactly o…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate - part 1

1. The points on a line can be paired with the real numbers i…

If B is between A and C, then:... AB + BC = AC.

On line AB in a given plane, choose any point O between A and…

If point B lies in the interior if ∠AOC then ... m∠AOB + m∠BOC…

Ruler Postulate

1. The points on a line can be paired with the real numbers i…

Segment Addition Postulate

If B is between A and C, then:... AB + BC = AC.

Postulate 1 (Ruler Postulate)... p.12

Postulate 2 (Segment Addition Postulat…

Postulate 3 (Protractor Postulate)... p.18

Postulate 4 (Angle Addition Postulate)…

1. The points on a line can be paired with the real numbers i…

If B is between A and C, then AB+BC=AC

On AB in a given plane, choose an point O between A and B. Co…

If point B lies in the interior of ∠AOC, then m∠AOB + m∠BOC =…

Postulate 1 (Ruler Postulate)... p.12

1. The points on a line can be paired with the real numbers i…

Postulate 2 (Segment Addition Postulat…

If B is between A and C, then AB+BC=AC

Theorem 3-1

Theorem 3-2

Theorem 3-3

Theorem 3-4

If two parallel planes are cut by a third plane, then the lin…

If two parallel lines are cut by transversal, then alternate…

If two parallel lines are cut by transversal, Then same-side…

If a transversal is perpendicular to one of two parallel line…

Theorem 3-1

If two parallel planes are cut by a third plane, then the lin…

Theorem 3-2

If two parallel lines are cut by transversal, then alternate…

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 2-1 (Midpoint Theorem)

If two lines intersect, then they intersect in exactly one po…

Through a line and a point not in the line there is exactly o…

If two lines intersect, then exactly one plane contains the l…

If M is the midpoint of AB, then AM=v½ AB and MB= ½ AB

Theorem 1-1

If two lines intersect, then they intersect in exactly one po…

Theorem 1-2

Through a line and a point not in the line there is exactly o…

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 2-1 (Midpoint Theorem)

If two lines intersect, then they intersect in exactly one po…

Through a line and a point not in the line there is exactly o…

If two lines intersect, then exactly one plane contains the l…

If M is the midpoint of AB, then AM=v½ AB and MB= ½ AB

Theorem 1-1

If two lines intersect, then they intersect in exactly one po…

Theorem 1-2

Through a line and a point not in the line there is exactly o…

Ruler postulate

Segment addition postulate

Protractor postulate

Angle addition postulate

The points on a line can be paired with the real numbers in s…

If B is between A and C, ... then AB + BC = AC

On line AB in a given plane, choose any point O between A and…

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…

Ruler postulate

The points on a line can be paired with the real numbers in s…

Segment addition postulate

If B is between A and C, ... then AB + BC = AC

alternate exterior angles

alternate interior angles

corresponding angles

parallel lines

Angles that lie outside a pair of lines and on opposite sides…

nonadjacent interior angles that lie on opposite sides of the…

Angles that lie on the same side of the transversal and in co…

lines in a plane that do not intersect

alternate exterior angles

Angles that lie outside a pair of lines and on opposite sides…

alternate interior angles

nonadjacent interior angles that lie on opposite sides of the…

Kite

Trapezoid

Isosceles Trapezoid.

90

This polygon is a quadrilateral with 2 pairs of congruent con…

This polygon is a quadrilateral with 2 parallel bases.

This polygon is a quadrilateral with 2 parallel bases and the…

Find the measure of <F.

Kite

This polygon is a quadrilateral with 2 pairs of congruent con…

Trapezoid

This polygon is a quadrilateral with 2 parallel bases.

Trapezoid

Exterior Angles

Interior Angles

Alternate Interior Angles

A quadrilateral with a pair of opposite sides parallel is cal…

The angles 1 and 8 are _________________________

The angles 2 and 6 are

The angles 2 and 5 are

Trapezoid

A quadrilateral with a pair of opposite sides parallel is cal…

Exterior Angles

The angles 1 and 8 are _________________________

Point

Ray

Line

Plane

Used to describe a location. Name with a capital letter.

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

A straight path that goes without end in two directions.

A flat surface that extends forever. Name a point with 3 nonc…

Point

Used to describe a location. Name with a capital letter.

Ray

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

Parallel Lines

Perpendicular Lines

Transversal line

Alternative Interior angles

Two lines that never touch

Two lines that intersect to make 90 degree angles

A line that passes through two lines in the same plane

Parallel Lines

Two lines that never touch

Perpendicular Lines

Two lines that intersect to make 90 degree angles

Parallel Lines

Skew Lines

Corresponding Angles

Alternate Interior Angles

Lines that do not intersect and that lie in the same plane.

Lines that do not intersect and that do not line in the same…

Parallel Lines

Lines that do not intersect and that lie in the same plane.

Skew Lines

Lines that do not intersect and that do not line in the same…

coordinate

distance

congruent

congruent segments

The real number that corresponds to a point

between A and B is the absolute value of the difference of th…

equal measure, ≈

When two numerical expressions have the same value, you say t…

coordinate

The real number that corresponds to a point

distance

between A and B is the absolute value of the difference of th…

Parallel Lines

Perpendicular lines

Skew lines

Parallel Planes

Coplanar lines that do not intersect.... Their equations have th…

Lines that intersect at 90 degree angles.... Their slopes have a…

Lines that are not coplanar, not parallel and do not intersect.

Planes that do not intersect

Parallel Lines

Coplanar lines that do not intersect.... Their equations have th…

Perpendicular lines

Lines that intersect at 90 degree angles.... Their slopes have a…

Parallel Lines

Transversal

Skew Lines

Parallel Planes

2 coplanar lines that do not intersect

A line that intersects 2 or more coplanar lines at different…

2 lines that are not coplanar and do not intersect

2 planes that do not intersect

Parallel Lines

2 coplanar lines that do not intersect

Transversal

A line that intersects 2 or more coplanar lines at different…

angle

acute angle

obtuse angle

right angle

A figure formed by two rays with a common endpoint endpoint c…

An angle that is less than 90 degrees

An angle between 90 and 180 degrees

90 degree angle

angle

A figure formed by two rays with a common endpoint endpoint c…

acute angle

An angle that is less than 90 degrees

angle

interior of an angle

exterior of an angle

acute angle

a figure formed by two rays with a common endpoint called the…

the set of all points between the sides of the angle

the set of all points outside the angle

an angle that measures greater than 0 degrees and less than 9…

angle

a figure formed by two rays with a common endpoint called the…

interior of an angle

the set of all points between the sides of the angle

Counterexample

Good Definition has

Parallel Lines

Perpendicular Lines

something that would fit your definition, but is not what you…

classification, differentiation, and can be tested.

exist in the same plane that never meet. We use II to represe…

must meet at a 90° angle. We use ⊥ to represent it.

Counterexample

something that would fit your definition, but is not what you…

Good Definition has

classification, differentiation, and can be tested.

trapezoid

point

right triangle

right angle

A quadrilateral with exactly one pair of parallel sides

an exact location represented by a dot

A triangle that has a 90 degree angle.

an angle that measures 90 degrees

trapezoid

A quadrilateral with exactly one pair of parallel sides

point

an exact location represented by a dot

congruent figures

similar figures

line symmetry

transformation

closed plane figures that have the same size and shape

closed plane figures that have the same shape, but not necess…

A figure has line symmetry if a line can be drawn through the…

a transformation in a figure is a change in its position, sha…

congruent figures

closed plane figures that have the same size and shape

similar figures

closed plane figures that have the same shape, but not necess…

point

line

plane

collinear

a location with no size and shape

made up of points and has no width or thickness; extends infi…

flat surface made up of points; has no depth and extends infi…

points on the same line

point

a location with no size and shape

line

made up of points and has no width or thickness; extends infi…

angle-angle similarity

angle

congruent

corresponding sides

if two angles of one triangle are congruent to two correspond…

in geometric figures, usually formed by two segments with a c…

exactly the same shape and size

sides in two or more figures that are images of each other wi…

angle-angle similarity

if two angles of one triangle are congruent to two correspond…

angle

in geometric figures, usually formed by two segments with a c…

Quadrilateral

Trapezoid

Parallelogram

Rectangle

a flat shape with four straight sides. I am the most open clu…

a four sided figure with one pair of parallel sides.

a 4-sided flat shape with straight sides where opposite sides…

a 4-sided flat shape with straight sides where all interior a…

Quadrilateral

a flat shape with four straight sides. I am the most open clu…

Trapezoid

a four sided figure with one pair of parallel sides.

isometry

congruent

CPCTC (CPCF)

Reflexive Property

composition of reflections, rotations, and translations

same size and shape

Corresponding Parts of Congruent Figures are Congruent

A is congruent to A

isometry

composition of reflections, rotations, and translations

congruent

same size and shape

Parallel Lines

Skew lines

Transversal

Parallel Postulate

When two or more lines lie in the same plane and never inters…

Lines that are in different planes and never intersect.

A line that intersects two or more lines in different points

If there is a line and a point not on a line, then there is e…

Parallel Lines

When two or more lines lie in the same plane and never inters…

Skew lines

Lines that are in different planes and never intersect.

Coordinate

Distance

Betweenness of Points

Acute Angle

a number that corresponds to a position on an axis

Length between two points

Point B is between points A and C if and only if A,B, and C a…

an angle that measures less than 90 degrees

Coordinate

a number that corresponds to a position on an axis

Distance

Length between two points

Parallel Lines

Skew Lines

Parallel Planes

Parallel Line Postulate

Two lines that are coplanar and do not intersect

Lines that do not intersect and are not coplanar

Two planes that do not intersect

If there is a line and a point not on the line, then there is…

Parallel Lines

Two lines that are coplanar and do not intersect

Skew Lines

Lines that do not intersect and are not coplanar

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Same Side Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Nonadjacent exterior angles that lie on opposite sides of the…

Angles that lie on the same side of the traversal and in corr…

Interior angles that lie on the same side of the transversal.…

Alternate Interior Angles

Nonadjacent interior that lie on opposite sides of a transver…

Alternate Exterior Angles

Nonadjacent exterior angles that lie on opposite sides of the…

Transversal

Parallel Postulate

Perpendicular Postulate

Corresponding Angles

a line that intersects 2 coplanar lines

If there is a line and a point not on the line, then there is…

If there is a line and a point not on the line, then there is…

angles in same position

Transversal

a line that intersects 2 coplanar lines

Parallel Postulate

If there is a line and a point not on the line, then there is…

Parallel Lines

Skew Lines

Parallel planes

Transversal

Coplanar lines that do not intersect

Lines that do not intersect and are not coplanar

Planes that do not intersect

A line that intersects two or more lines.

Parallel Lines

Coplanar lines that do not intersect

Skew Lines

Lines that do not intersect and are not coplanar

postulate (axiom)

inductive reasoning

deductive reasoning

conjecture

an accepted statement of fact.

a type of reasoning that reaches conclusions based on a patte…

a process of reasoning logically from given facts to a conclu…

a conclusion reached by inductive reasoning (guess).

postulate (axiom)

an accepted statement of fact.

inductive reasoning

a type of reasoning that reaches conclusions based on a patte…

Parallel Lines

Skew Lines

Transversal

Interior Angles

Two lines in the same plane that do not intersect

Two lines in different planes that do not intersect

A line that intersects two or more coplanar lines

Angles that lie in the region between the two lines

Parallel Lines

Two lines in the same plane that do not intersect

Skew Lines

Two lines in different planes that do not intersect

skew lines

parallel lines

parallel planes

transversal

lines that do not intersect and are no coplanar

lines that do not intersect and are coplanar

two planes that do no intersect

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

skew lines

lines that do not intersect and are no coplanar

parallel lines

lines that do not intersect and are coplanar

similarity

dilation

point of dilation / stretch point

scale factor / zoom factor

-same shape, but not necessarily the same size... -angles are co…

-a transformation where a point on a figure is stretched prop…

-the point of a figure that is stretched to form a dilation o…

-the number a side is multiplied by to make a bigger or small…

similarity

-same shape, but not necessarily the same size... -angles are co…

dilation

-a transformation where a point on a figure is stretched prop…

Construct

Classifying Triangles

Acute Triangle

Right Triangle

A tangent from a point outside a given circle to the circle

All equilateral triangles are isosceles

Three angles, each less than 90 degrees

One angle equals 90 segrees

Construct

A tangent from a point outside a given circle to the circle

Classifying Triangles

All equilateral triangles are isosceles

Perpendicular

Vertical

Quadrants

Pythagorean Theorem

Two lines that form right angles.

A line that is parallel to the y-axis.

The four regions of a plane created by the intersection of th…

It states that the square of the hypotenuse (the side opposit…

Perpendicular

Two lines that form right angles.

Vertical

A line that is parallel to the y-axis.

angle

vertex

right angle

parallel lines

A figure formed by two rays with a common endpoint

A point where two or more straight lines meet.

an angle that measures 90 degrees

lines that never intersect

angle

A figure formed by two rays with a common endpoint

vertex

A point where two or more straight lines meet.