# Study sets matching "3 jurgensen geometry"

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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…

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…

Postulate 1 Ruler (p.12)

Postulate 2 Segment addition postulate…

Postulate 3 Protractor (p.18)

Angle addition postulate (p.18)

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 =…

Postulate 1 Ruler (p.12)

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

Postulate 2 Segment addition postulate…

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

ROTATION

ROTATIONAL SYMMETRY

CENTER OF ROTATION

ANGLE OF ROTATION

A rigid transformation that is a "turn"

When an object is the same after a rotation

The point where an object is rotated around (on the coordinate…

The angle that an object is rotated around a given point.

ROTATION

A rigid transformation that is a "turn"

ROTATIONAL SYMMETRY

When an object is the same after a rotation

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 _________________________

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…

circle

circumference

chord

diameter

The set of all points in a plane that are the same distance fr…

the distance around the outside of a circle. ( 2πr )

The distance from one point on the circle to another point on…

A chord that passes through the center of the circle. ( 2 r )

circle

The set of all points in a plane that are the same distance fr…

circumference

the distance around the outside of a circle. ( 2πr )

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.

Skew Lines

Parallel Lines

Parallel Planes

Transversal

Lines that do not intersect and are not coplaner

Coplaner lines that do not intersect.

Planes that do not intersect.

A line that intersects 2 coplaner lines at 2 different points.

Skew Lines

Lines that do not intersect and are not coplaner

Parallel Lines

Coplaner lines that do not intersect.

Parallel Lines

Parallel Planes

Skew Lines

Transversal

Coplanar, equidistant, non-intersecting lines

Equidistant, non-intersecting planes

Non-coplanar, non-intersecting lines

Line that intersects two or more lines in a plane at different…

Parallel Lines

Coplanar, equidistant, non-intersecting lines

Parallel Planes

Equidistant, non-intersecting planes

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…

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

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

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 lines that intersects two or more coplanar lines at two diff…

parallel lines

coplanar lines that do not intersect

skew lines

lines that do not intersect and are not coplanar

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.

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…

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.

Auxiliary Line

Corollary

Interior

Exterior

A line that is added to a figure to aid in a proof

A theorem whose proof follows directly from another theorem

Set of all points inside the figure

set of all points outside the figure

Auxiliary Line

A line that is added to a figure to aid in a proof

Corollary

A theorem whose proof follows directly from another theorem

Transversal

Interior

Exterior

Alternate Interior Angles

A line, ray, or segment that intersects two or more coplanar l…

Area between the lines

Area outside the lines

Angles 2 and 7... Or... Angles 3 and 6

Transversal

A line, ray, or segment that intersects two or more coplanar l…

Interior

Area between the lines