#### Study sets matching "geometery chapter 6"

#### Study sets matching "geometery chapter 6"

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

Converse of the Angle Bisector Theorem

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

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

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

If a point is in the interior of an angle and is equidistant…

Perpendicular Bisector Theorem

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

Converse of the Perpendicular Bisector…

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

Trapezoid

Isosceles Trapezoid

Kite

Rhombus

Quadrilateral with exactly one pair of parallel sides.

A trapezoid with congruent legs.

A quadrilateral with 2 pairs of consecutive sides congruent a…

Parallelogram with 4 congruent sides.

Trapezoid

Quadrilateral with exactly one pair of parallel sides.

Isosceles Trapezoid

A trapezoid with congruent legs.

Parallelogram

Rhombus

Rectangle

Square

A quadrilateral with two opposite sets of parallel sides

A parallelogram that has four congruent sides

A parallelogram with all right angles

A rectangle with congruent sides

Parallelogram

A quadrilateral with two opposite sets of parallel sides

Rhombus

A parallelogram that has four congruent sides

Theorem 6-1 The Exterior Angle Inequal…

Related If-Then Statements

Writing Indirect Proofs

Theorem 6-2:... If one side of a triangle…

Greater than the measure of either remote interior angle

A) A statement and it's contrapositive are logically equivale…

1) Assume temporarily that the conclusion is not true... 2) Reas…

Then the angle opposite the first side is larger than the ang…

Theorem 6-1 The Exterior Angle Inequal…

Greater than the measure of either remote interior angle

Related If-Then Statements

A) A statement and it's contrapositive are logically equivale…

image

preimage

translation

isometry

when a transformation moves or changes a figure in some way t…

the original figure

moves every point of a figure the SAME distance and in the SA…

a transformation that preserves length and angle measure, ano…

image

when a transformation moves or changes a figure in some way t…

preimage

the original figure

Diagonal

Parallelogram

Rhombus

Rectangle

A segment that connects any two nonconsectutive vertices of a…

A quadrilateral with two pairs of parallel sides.

A quadrilateral with four congruent sides.

A quadrilateral with four right angles.

Diagonal

A segment that connects any two nonconsectutive vertices of a…

Parallelogram

A quadrilateral with two pairs of parallel sides.

Circle

Chord

Secant

Tangent

The set of points in a plane that are a fixed distance from a…

A segment whose endpoints lie on a circle.

A line that intersects a circle at two points.

A line that is in the same plane as a circle and intersects t…

Circle

The set of points in a plane that are a fixed distance from a…

Chord

A segment whose endpoints lie on a circle.

Transforamtions

Pre-image

Image

Isometery

A function or mapping that results ik a change in the positio…

original figure

resulting figure

(rigid motion) a transformation that preserves distance and a…

Transforamtions

A function or mapping that results ik a change in the positio…

Pre-image

original figure

Vertical Angles

Vertical angles are congruent

Perpendicular Lines

If two lines are perpendicular, then t…

two angles such that the sides of one angle are opposite rays…

...

two lines that intersect to form rights angles (90º)

...

Vertical Angles

two angles such that the sides of one angle are opposite rays…

Vertical angles are congruent

...

circle

center

radius

chord

set of all points in a plane that are equidistant from a give…

the point that all other points are equidistant to in a circle

a segment whose endpoints are the center and any point on the…

a segment whose endpoints are on a circle

circle

set of all points in a plane that are equidistant from a give…

center

the point that all other points are equidistant to in a circle

Isometery/Isometries

Rigid Motion

Line of Reflection (know equtations of…

Image

A mapping for which the orginal figure and its image are cong…

Every piece of the transformation is the same as the orginal.

Perpendicular bisector ofnthe segment joining every point and…

A figure that results from the transfromation of a geometric…

Isometery/Isometries

A mapping for which the orginal figure and its image are cong…

Rigid Motion

Every piece of the transformation is the same as the orginal.

Circle

Center

Radius

Chord

The locus or set of all points in a plane equidistant from a…

A point that is exactly in the middle of the circle and is eq…

A segement with endpoints at the center and on the circle.

A segment with endpoints on the circl.

Circle

The locus or set of all points in a plane equidistant from a…

Center

A point that is exactly in the middle of the circle and is eq…

inductive reasoning

conjecture

counterexample

conditional

reasoning based upon patterns that you see

a conclusion you reach by using inductive reasoning

an example that shows a conjecture is incorrect

an if-then statement

inductive reasoning

reasoning based upon patterns that you see

conjecture

a conclusion you reach by using inductive reasoning

circle

center

radius

chord

the set of all points in a plane that are equidistant from a…

given point that is equidistant from all points in a plane (c…

segment whose endpoints are the center and any point on the c…

a segment whose endpoints are on a circle

circle

the set of all points in a plane that are equidistant from a…

center

given point that is equidistant from all points in a plane (c…

linear pair

adjacent angles

vertical angles

supplementary

pair of adjacent angles formed when two lines intersect

two angles that have a common vertex and a common side

each of the pairs of opposite angles made by two intersecting…

either of two angles whose sum is 180°.

linear pair

pair of adjacent angles formed when two lines intersect

adjacent angles

two angles that have a common vertex and a common side

Polygon Sum Conjecture

Equiangular Polygon Conjecture

e=360/n

n=360/e

The sum of the measures of the n interior angles of n-gon is…

The formula used to find the measure of each interior angle o…

The formula used to find the measure of each exterior angle o…

The formula used to find the number of sides of an equiangula…

Polygon Sum Conjecture

The sum of the measures of the n interior angles of n-gon is…

Equiangular Polygon Conjecture

The formula used to find the measure of each interior angle o…

Isometery/Isometries

Rigid Motion

Line of Reflection (know equtations of…

Image

A mapping for which the orginal figure and its image are cong…

Every piece of the transformation is the same as the orginal.

Perpendicular bisector ofnthe segment joining every point and…

A figure that results from the transfromation of a geometric…

Isometery/Isometries

A mapping for which the orginal figure and its image are cong…

Rigid Motion

Every piece of the transformation is the same as the orginal.

Altitude(of a parallelogram)

altitude(triangle)

apothem

area

the perpendicular segment with one endpoint on the line conta…

the perpendicular segment with one endpoint on the line conta…

perpendicular segment from the center of a regular polygon to…

the number of square units a figure encloses

Altitude(of a parallelogram)

the perpendicular segment with one endpoint on the line conta…

altitude(triangle)

the perpendicular segment with one endpoint on the line conta…