# Study sets matching "geometry 3"

Study sets

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if-then statement

conditional statement

converse

inverse

- if p, then q

- a statement that can be written in the form "if p, then q"

- if q, then p... - formed by exchanging the hypothesis and the c…

- if not p, then not q... - formed by negating both the hypothesi…

if-then statement

- if p, then q

conditional statement

- a statement that can be written in the form "if p, then q"

distance

distance formula (on a number line)

distance formula (in a coordinate plane)

irrational number

- The distance between two points is the length of the segment…

- The distance between two points can be found by finding the…

- By using the coordinates of a set of ordered pairs and apply…

- a number that cannot be expressed as a terminating or repeat…

distance

- The distance between two points is the length of the segment…

distance formula (on a number line)

- The distance between two points can be found by finding the…

Alternate interior

Perpendicular lines

Same-side interior

Point-slope form

a pair of nonadjacent angles that lie on opposite sides of the…

Lines that intersect at 90 degrees

Angles that lie on the same side of the transversal and betwee…

y-y1 = m (x - x1)

Alternate interior

a pair of nonadjacent angles that lie on opposite sides of the…

Perpendicular lines

Lines that intersect at 90 degrees

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…

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 _________________________

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.

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

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

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…

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 )

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

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

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

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

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

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.

Parallel Lines

Skew Lines

Can a plane be parallel to a plane?

Can a plane be parallel to a line?

Coplanar lines that do not intersect

Noncoplanar lines that are neither intersecting or parallel

Yes.

Yes.

Parallel Lines

Coplanar lines that do not intersect

Skew Lines

Noncoplanar lines that are neither intersecting or parallel

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…

scalene triangle

isosceles triangle

right triangle

acute triangle

a triangle with no congruent sides

a triangle with at least two congruent sides

a triangle with one right angle

A triangle that contains only angles that are less than 90 deg…

scalene triangle

a triangle with no congruent sides

isosceles triangle

a triangle with at least two congruent sides

Parallel Lines

|| (symbol)

Skew Lines

parallel planes

Coplanar lines that do not intersect.

means is parallel to

noncoplanar lines that are not parallel and do not intersect

planes that do not intersect

Parallel Lines

Coplanar lines that do not intersect.

|| (symbol)

means is parallel to