#### 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 poi…

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

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

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 poi…

Theorem 1-2

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

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 in…

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 in…

Segment Addition Postulate

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

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 2-1 (Midpoint Theorem)

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

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

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

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 poi…

Theorem 1-2

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

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

Postulate 2 (Segment Addition Postulate…

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

Postulate 4 (Angle Addition Postulate)…

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

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. Con…

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 in…

Postulate 2 (Segment Addition Postulate…

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

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 2-1 (Midpoint Theorem)

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

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

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

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 poi…

Theorem 1-2

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

Ruler postulate

Segment addition postulate

Protractor postulate

Angle addition postulate

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

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 su…

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 cor…

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 cons…

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 cons…

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 call…

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 call…

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 en…

A straight path that goes without end in two directions.

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

Point

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

Ray

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

Central angle

Inscribed angle

half

intercept

An angles whose vertex is the center of the circle.

An angle whose vertex is on the circle and sides are chords of…

An inscribed angle is _______ of the intercepted arc.

Inscribed angles that __________ the same arc are congruent.

Central angle

An angles whose vertex is the center of the circle.

Inscribed angle

An angle whose vertex is on the circle and sides are chords of…

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

Acute triangle

Congruent

Obtuse triangle

Polygon

a triangle in which each of the three angles is acute (less th…

of equal measure, having exactly the same size and same shape

a triangle that has one obtuse angle (greater than 90 degrees)…

a closed figure with at least 3 sides, where all sides are str…

Acute triangle

a triangle in which each of the three angles is acute (less th…

Congruent

of equal measure, having exactly the same size and same shape

Dilation

Scale factor (k)

Center of dilation

Ratio

a non-rigid motion that changes the size, but not the shape, o…

a value that describes how much a figure is expanded or contra…

the point where the image grows away from or shrinks towards

compares 2 numbers by division (a fraction).

Dilation

a non-rigid motion that changes the size, but not the shape, o…

Scale factor (k)

a value that describes how much a figure is expanded or contra…

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 p…

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 p…

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

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 p…

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 p…

Parallel Lines

Perpendicular lines

Skew lines

Parallel Planes

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

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 the…

Perpendicular lines

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

point

line

plane

collinear

a location with no size and shape

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

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

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 infin…

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 represen…

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.

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…