# Study sets matching "geometery chapter 6"

Study sets

Diagrams

Classes

Users

base

base angles

diagonal

isosceles trapezoid

Parallel Sides

Formed by a base and a leg. (In a trapezoid)

In a polygon, a segment that connects nonconsecutive vertices…

A trapezoid in which the legs are congruent, and the diagonals…

base

Parallel Sides

base angles

Formed by a base and a leg. (In a trapezoid)

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…

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.

parallel lines

skew lines

parallel planes

transversal

they are coplanar and do not cross

do not intersect and are not coplanar

2 planes that do not cross

a line that intersects 2 or more coplanar lines at different l…

parallel lines

they are coplanar and do not cross

skew lines

do not intersect and are not coplanar

What is a mid-segment?

What is the point of concurrency of a m…

How does it become a perpendicular bise…

Where do the segments of a perpendicula…

a segment that connects the midpoints on the opposite sides &…

NONE

if it's equidistant to the endpoints of the segments, the 90 d…

ANYWHERE

What is a mid-segment?

a segment that connects the midpoints on the opposite sides &…

What is the point of concurrency of a m…

NONE

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equaility

18x-21=15 then turns to 18x=36 (you add somewhere in the probl…

3x+7=10 turns to 3x=3 (you subtract in the problem)

w/7 =-2 turns to w=-14 (you multiply in the problem)

18x=36 turns to x=2 (you divide in the problem)

addition property of equality

18x-21=15 then turns to 18x=36 (you add somewhere in the probl…

subtraction property of equality

3x+7=10 turns to 3x=3 (you subtract in the problem)

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

acute angle

line

line segment

parallel lines

An angle that measures greater than 0° and ... less than 90°

A straight path of points in a plane that ... continues without e…

A part of a line that includes two points ... called endpoints an…

Lines in the same plane that never intersect ... and are always t…

acute angle

An angle that measures greater than 0° and ... less than 90°

line

A straight path of points in a plane that ... continues without e…

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

Quadrilateral Sum Conjecture

Pentagon Sum Conjecture

Polygon Sum Conjecture

Exterior Angle Sum Conjecture

The sum of the measures of the four interior angles of any qua…

The sum of the measures of the five interior angles of any pen…

The sum of the measures of the n interior angles of an n-gon i…

For any polygon, the sum of the measures of a set of exterior…

Quadrilateral Sum Conjecture

The sum of the measures of the four interior angles of any qua…

Pentagon Sum Conjecture

The sum of the measures of the five interior angles of any pen…

parallel lines

skew lines

parallel planes

segments and rays are parallel if they…

if two lines do not intersect and are coplanar

if two lines do not intersect and are not coplanar

if two planes do not intersect

parallel lines

parallel lines

if two lines do not intersect and are coplanar

skew lines

if two lines do not intersect and are not coplanar

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

apothem

base

composite figure

Great circle of a sphere

a line from the center of a regular polygon at right angles to…

The surface a solid object stands on, or the bottom line of a…

shape with two or more shapes inside of it

a circle on a spherical surface such that the plane containing…

apothem

a line from the center of a regular polygon at right angles to…

base

The surface a solid object stands on, or the bottom line of a…

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

...

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 of…

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

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

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 of…

perpendicular bisector

Concurrent Lines

Point of concurrency

Circumcenter

A line that is perpendicular to a segment at its midpoint.

Three or more lines that intersect at a common point

The point of intersection of concurrent lines

the point of concurrency of the perpendicular bisectors of a t…

perpendicular bisector

A line that is perpendicular to a segment at its midpoint.

Concurrent Lines

Three or more lines that intersect at a common point

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

diagonal

equilateral polygon

equilangular polygon

regular polygon

a segment that joins two nonconsecutive vertices of a polygon

a polygon in which all sides are congruent

a polygon with all angles congruent

a convex polygon that is both equilateral and equiangular

diagonal

a segment that joins two nonconsecutive vertices of a polygon

equilateral polygon

a polygon in which all sides are congruent

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

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…