# Study sets matching "geometery chapter 6"

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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 a…

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 equidi…

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

Perpendicular Bisector Theorem

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

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 an…

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 Inequali…

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 equivalen…

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

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

Theorem 6-1 The Exterior Angle Inequali…

Greater than the measure of either remote interior angle

Related If-Then Statements

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

image

preimage

translation

isometry

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

the original figure

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

a transformation that preserves length and angle measure, anot…

image

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

preimage

the original figure

diameter

radius

circle

interior of circle

segment that goes across circle

segment that has an endpoint in the center and on the end of c…

set of points in a plane that are equidistant from a given poi…

set of all points inside the circle

diameter

segment that goes across circle

radius

segment that has an endpoint in the center and on the end of c…

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 th…

Circle

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

Chord

A segment whose endpoints lie on a circle.

circle

center

radius

chord

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

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 given…

center

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

Theorem 10.1

Theorem 10.2

Postulate 23 (Arc Addition Postulate)

Theorem 10.3

In a plane, a line is tangent to a circle if and only if the l…

Tangent segments from a common external point are congruent

The measure of an arc formed by two adjacent arcs is the sum o…

In the same circle, or in congruent circles, two minor arcs ar…

Theorem 10.1

In a plane, a line is tangent to a circle if and only if the l…

Theorem 10.2

Tangent segments from a common external point are congruent

Angle Bisector

Perpendicular Bisector

Altitude

Median

A ray that divides an angle into two congruent angles

A ray or a line that is perpendicular to a given segment and d…

A line passing through the vertex of a triangle and perpendicu…

A line segment whose endpoints are a vertex and the midpoint o…

Angle Bisector

A ray that divides an angle into two congruent angles

Perpendicular Bisector

A ray or a line that is perpendicular to a given segment and d…

Transforamtions

Pre-image

Image

Isometery

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

original figure

resulting figure

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

Transforamtions

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

Pre-image

original figure

angle of depression

angle of elevation

component form

cosine

The angle between the line of sight and the horizontal when an…

The angle between the line of sight and the horizontal when an…

A vector expressed as an ordered pair ... { change in X, change i…

For an acute angle of a right triangle the ratio of the measur…

angle of depression

The angle between the line of sight and the horizontal when an…

angle of elevation

The angle between the line of sight and the horizontal when an…

Parallel Lines

Skew Lines

Parallel Planes

Transversal

Coplanar Lines that do not intersect

Noncoplanar lines that do not intersect

Two planes that don't intersect

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

Parallel Lines

Coplanar Lines that do not intersect

Skew Lines

Noncoplanar lines that do not intersect

Reference angle

opposite side

adjacent side

rationalizing the denominator

the angle of the triangle that the references are based off of

the side opposite the reference angle

The side adjacent to the reference angle

the process of rewriting a fraction so that no irrational numb…

Reference angle

the angle of the triangle that the references are based off of

opposite side

the side opposite the reference angle

Isometery/Isometries

Rigid Motion

Line of Reflection (know equtations of…

Image

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

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 f…

Isometery/Isometries

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

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 g…

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

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 g…

Center

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

Vertical Angles

Vertical angles are congruent

Perpendicular Lines

If two lines are perpendicular, then th…

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

...

diagonal

interior angle

exterior angle

parallelogram

a segment that connects 2 nonconsecutive vertices

an angle formed by 2 sides of a polygon with a common vertex

an angle formed by one side of a polygon and the extension of…

a quadrilateral with 4 congruent sides

diagonal

a segment that connects 2 nonconsecutive vertices

interior angle

an angle formed by 2 sides of a polygon with a common vertex

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 g…

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

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

a segment whose endpoints are on a circle

circle

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

center

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

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