Study sets matching "geometry chapter 6"

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Study sets matching "geometry chapter 6"

Geometry Chapter 6
Secant Tangent Thrm
Two Intersecting Chords Thrm
Tangent Chord Angle Thrm
Two Intersecting chords thrm proof tip
Outside angle = 1/2 (Difference of Intercepted Arcs)
Angle formed = 1/2 (Sum of Intercepted Arcs)
Tangent Chord Angle = 1/2 Intercepted Arc
Draw triangle and use exterior angle of triangle thrm
Secant Tangent Thrm
Outside angle = 1/2 (Difference of Intercepted Arcs)
Two Intersecting Chords Thrm
Angle formed = 1/2 (Sum of Intercepted Arcs)
12 terms
geometry chapter 6
polygon
square
rhombus
quadrilateral
A closed plane figure made up of line segments
A quadrilateral with 4 sides that are equal and has all 90 de…
A parallelogram with 4 congruent sides.
4 sided polygon
polygon
A closed plane figure made up of line segments
square
A quadrilateral with 4 sides that are equal and has all 90 de…
15 terms
Geometry Chapter 6 Vocab
Midsegment
Midpoint
Perpendicular Bisector
Eqidistant
A segment that connects the midpoints of two sides of a trian…
A point that divides a segment into two congruent segments.
A line that is perpendicular to a segment at its midpoint.
The same distance.
Midsegment
A segment that connects the midpoints of two sides of a trian…
Midpoint
A point that divides a segment into two congruent segments.
19 terms
geometry chapter 6
altitude
angle bisector
median
perpendicular bisector
goes from the vertex to the opposite side at 90 degrees
splits one angle into two congruent angles
line from the vertex to the midpoint
intersects midpoint at 90 degrees (doesn't always go through…
altitude
goes from the vertex to the opposite side at 90 degrees
angle bisector
splits one angle into two congruent angles
15 terms
Chapter 6 geometry Vocab
Midsegment
Midpoint
Perpendicular bisector
Equidistant
connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment into two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance
Midsegment
connects the midpoints of two sides in a triangle. It is para…
Midpoint
A point that divides a segment into two congruent pieces (in…
19 terms
Geometry Chapter 6
midsegment
midpoint
Perpendicular bisector
equidistant
connects the midpoint of two triangles. It is parallel to and…
a point that divides a segment into two congruent pieces(in h…
a line that is peroendicular to a segment at its midpoint (cu…
the same distances
midsegment
connects the midpoint of two triangles. It is parallel to and…
midpoint
a point that divides a segment into two congruent pieces(in h…
40 terms
Geometry Chapter 6
Polygon Angle-Sum Theorem
Equilateral Polygon
Equiangular Polygon
Regular Polygon
The sum of the measures of the interior angles of an n-gon is…
A polygon with all sides congruent.
A polygon with all angles congruent.
A polygon that is both equilateral and equiangular.
Polygon Angle-Sum Theorem
The sum of the measures of the interior angles of an n-gon is…
Equilateral Polygon
A polygon with all sides congruent.
15 terms
Chapter 6 Geometry Vocabulary
midsegment
midpoint
perpendicular bisector
equidistant
Connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment into two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance
midsegment
Connects the midpoints of two sides in a triangle. It is para…
midpoint
A point that divides a segment into two congruent pieces (in…
15 terms
Geometry Chapter 6 Vocabulary
Midsegment
Midpoint
Perpendicular Bisector
Equidistant
Connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment in two congruent pieces.
A line that is perpendicular to a segment at its midpoint.
The same distance.
Midsegment
Connects the midpoints of two sides in a triangle. It is para…
Midpoint
A point that divides a segment in two congruent pieces.
chapter 6 geometry
triangle
quadrilateral
pentagon
hexagon
3 sides
4 sides
5 sides
6 sides
triangle
3 sides
quadrilateral
4 sides
Geometry Chapter 6
Perpendicular bisector
Angle bisector
Circumcenter
Incenter
The line that is perpendicular to a segment at its midpoint
A ray that divides an angle into two congruent adjacent angles
The intersection of perpendicular bisectors in a triangle
Point where all angle bisectors intersect... Equidistance from a…
Perpendicular bisector
The line that is perpendicular to a segment at its midpoint
Angle bisector
A ray that divides an angle into two congruent adjacent angles
Geometry Chapter 6
Midsegment
Midpoint
Perpendicular Bisector
Equidistant
Connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment into two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance.
Midsegment
Connects the midpoints of two sides in a triangle. It is para…
Midpoint
A point that divides a segment into two congruent pieces (in…
Geometry Chapter 6 Vocabulary
similar polygons
scale factor
Perimeters of Similar Polygons
Dilation
if corresponding angles are congruent and corresponding side…
if two polygons are similar, then the ratio of the lengths of…
if two polygons are similar, then the ratio of their perimete…
an image that preserves angle measures and results in an imag…
similar polygons
if corresponding angles are congruent and corresponding side…
scale factor
if two polygons are similar, then the ratio of the lengths of…
19 terms
Chapter 6 Geometry
means and extremes
Geometric mean
1. Reciprocal property
2.
a and b are the positive numbers that x satisfy
if 2 ratios are equal, then their reciprocals are also equal
if you interchange the means of a proportion, then you form a…
means and extremes
Geometric mean
a and b are the positive numbers that x satisfy
15 terms
Geometry Chapter 6 Vocab
Dilation
Scale Factor of a Dilation
Similar Polygons
Scale Factors of two similar polygons
A transformation in which the lines connecting every point, P…
The ration of lengths of the corresponding sides of image and…
Two similar polygons whose corresponding angles are congruent…
If two polygons are similar, then the ratio of the lengths of…
Dilation
A transformation in which the lines connecting every point, P…
Scale Factor of a Dilation
The ration of lengths of the corresponding sides of image and…
Geometry Chapter 6 Vocabulary
Polygon
Diagonal
Convex Polygon
Concave Polygon
A closed plane figure formed by three or more segments.
A segment that connects two nonconsecutive vertices.
No diagonal of a polygon contains points outside the polygon.…
A polygon with a diagonal contains points outside the polygon…
Polygon
A closed plane figure formed by three or more segments.
Diagonal
A segment that connects two nonconsecutive vertices.
15 terms
geometry - chapter 6 vocab
midsegment
midpoint
perpendicular bisector
equidistant
connects the midpoints of two sides in a triangle. It is para…
a point that divides a segment into two congruent pieces (in…
a line that is perpendicular to a segment at its midpoint (cu…
the same distance
midsegment
connects the midpoints of two sides in a triangle. It is para…
midpoint
a point that divides a segment into two congruent pieces (in…
15 terms
Geometry Chapter 6
Midsegment
Midpoint
Perpendicular bisector
Equidistant
Connect the midpoints of two sides in a triangle. It is paral…
A point that divides a segment into two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance
Midsegment
Connect the midpoints of two sides in a triangle. It is paral…
Midpoint
A point that divides a segment into two congruent pieces (in…
39 terms
Geometry vocab chapter 6
Polygon
Vertex
Diagonal
Regular polygon
A closed plane figure formed by 3 or more segments that inter…
The common endpoint at 2 sides
A segment that connects any 2 nonconsecutive vertices
One that is both equilateral and equiangular
Polygon
A closed plane figure formed by 3 or more segments that inter…
Vertex
The common endpoint at 2 sides
15 terms
Geometry Chapter 6 Vocabulary
Midsegment (6.4)
Midpoint (1.3)
Perpendicular Bisector (6.1)
Equidistant (6.1)
Connects the midpoints of two sides in a triangle. It is para…
A point that divides a segment into congruent parts (in half)
A line that is perpendicular to a segment at its midpoint (cu…
The same distance from the center point to the side
Midsegment (6.4)
Connects the midpoints of two sides in a triangle. It is para…
Midpoint (1.3)
A point that divides a segment into congruent parts (in half)
13 terms
Geometry chapter 6
Two polygons
Statement proportionality
Scale factor
Perimeters of similar polygons (theorem)
are similar polygons if corresponding angels are congruent an…
they are ratios.
If two polygons are similar, then the ratio of the lengths of…
If two polygons are similar, then the ratio of their perimete…
Two polygons
are similar polygons if corresponding angels are congruent an…
Statement proportionality
they are ratios.
Chapter 6 Vocabulary: Geometry
base
base angle
diagonal
isosceles trapezoid
parallel sides of a quadrilateral
formed by the base and one of the legs of a figure
a segment that connects any two nonconsecutive vertices
a trapezoid where the legs are congruent
base
parallel sides of a quadrilateral
base angle
formed by the base and one of the legs of a figure
Geometry Chapter 6
Theorem 16
Definition of Line of Symmetry
Definition of Parallel
Equal Corresponding Angles Theorem
In a plane, two points each equidistant from the endpoints of…
Two points are symmetric with respect to a line iff the line…
Two lines are parallel iff they lie in the same plane and do…
Equal corresponding angles mean that lines are parallel (If C…
Theorem 16
In a plane, two points each equidistant from the endpoints of…
Definition of Line of Symmetry
Two points are symmetric with respect to a line iff the line…
33 terms
Geometry- Chapter 6
Triangle
Quadrilateral
Pentagon
Hexagon
3 sides
4 sides
5 sides
6 sides
Triangle
3 sides
Quadrilateral
4 sides
Geometry: Chapter 6
foot of the line
four ways to determine a plane
how to prove a line not in the plane p…
what is the intersection of two planes
the point of intersection of a line that is not in the plane…
three noncolliner points, a line and a point not on the line,…
a line is perpendicular to a plane if it is perpendicular to…
a line
foot of the line
the point of intersection of a line that is not in the plane…
four ways to determine a plane
three noncolliner points, a line and a point not on the line,…
17 terms
Geometry, Chapter 6
diagonal
Triangle
Quadrilateral
Pentagon
a segment that connects any two nonconsecutive vertices
number of sides 3... number of triangles 1... sum of interior angle…
number of sides 4... number of triangles 2... sum of interior angle…
number of sides 5... number of triangles 3... sum of interior angle…
diagonal
a segment that connects any two nonconsecutive vertices
Triangle
number of sides 3... number of triangles 1... sum of interior angle…
10 terms
Geometry chapter 6
Incenter
median
circumcenter
centroid
the point of concurrency of the angle bisectors of a triangle
a segment from a vertex of a triangle to the midpoint of the…
the point of concurrency of the three perpendicular bisectors…
the point of concurrency of the three medians of a triangle
Incenter
the point of concurrency of the angle bisectors of a triangle
median
a segment from a vertex of a triangle to the midpoint of the…
7 terms
geometry chapter 6
parallelgram
rectangle
square
rhombus
quadrilateral with opposite parallel sides
quadrilateral with four right angles
rectangular rhombus
quadrilateral with all equal sides
parallelgram
quadrilateral with opposite parallel sides
rectangle
quadrilateral with four right angles
Geometry Chapter 6
Quadrilateral
Parallelogram
Rectangle
Rhombus
1.) 4 sides... 2.) lies in a plane
1.) 4 sides... 2.) lies in a plane... 3.) opposite sides parallel... 4…
1.) 4 sides... 2.) lies in a plane... 3.) opposite sides parallel... 4…
1.) 4 sides... 2.) lies in a plane... 3.) opposite sides parallel... 4…
Quadrilateral
1.) 4 sides... 2.) lies in a plane
Parallelogram
1.) 4 sides... 2.) lies in a plane... 3.) opposite sides parallel... 4…
Geometry Chapter 6 Vocab
Sides of a Polygon
Vertex of a Polygon
Diagonal
Regular Polygon
Each segment that forms a polygon.
The common endpoints of two sides.
A segment that connects any two nonconsecutive vertices.
Polygon that is both equilateral and equiangular.
Sides of a Polygon
Each segment that forms a polygon.
Vertex of a Polygon
The common endpoints of two sides.
Geometry Chapter 6 Vocab
Tangent circles
Arc-central angle
Chords-Arcs
Quartet of chords
Two circles that are tangent to the same line at the same point
The measure of an arc is the same as its central angle
If two chords in a circle are congruent, then their arcs are…
Congruent chords, congruent central angles, congruent arcs, c…
Tangent circles
Two circles that are tangent to the same line at the same point
Arc-central angle
The measure of an arc is the same as its central angle
33 terms
Geometry chapter 6
Parallelogram1
Parallelogram2
Parallelogram3
Parallelogram4
opposite sides are parallel
opposite sides are congruent
opposite angles are congruent
diagonals bisect each other
Parallelogram1
opposite sides are parallel
Parallelogram2
opposite sides are congruent
63 terms
Geometry Chapter 6
Diagonal
Polygon Interior Angle Sum Theorem
Polygon Exterior Angle Sum Theorem
Parallelogram
In a polygon, a segment that connects nonconsecutive vertices…
The sum of the interior angle measures of an n-sided polygon…
The sum of the exterior angle measures of a convex polygon, o…
A quadrilateral with parallel opposite sides. Any side of thi…
Diagonal
In a polygon, a segment that connects nonconsecutive vertices…
Polygon Interior Angle Sum Theorem
The sum of the interior angle measures of an n-sided polygon…
Geometry- Chapter 6
3 different ways to write ratios
Extended ratio
Proportion
Geometric mean
"a/b" or "a:b" or "a to b"
a ratio that compares two or more values
an equation that states two ratios are equal
a mean of two positive numbers that satisfies the equation as…
3 different ways to write ratios
"a/b" or "a:b" or "a to b"
Extended ratio
a ratio that compares two or more values
Geometry Vocabulary Chapter 6
Equilateral polygon
Equiangular polygon
Regular Polygon
Parallelogram
A polygon with all sides congruent
A polygon with all angles congruent
A polygon that is both equilateral and equiangular
A quadrilateral with both pairs of opposite sides parallel
Equilateral polygon
A polygon with all sides congruent
Equiangular polygon
A polygon with all angles congruent
chapter 6 geometry vocab
ratio
proportion
means
extremes
comparison of 2 numbers using division
equation that states 2 equations are equal
middle term of proportion
first and last term of a proportion
ratio
comparison of 2 numbers using division
proportion
equation that states 2 equations are equal
6 terms
Geometry Chapter 6 Vocabulary
rational number
irrational number
Pythagorean theorem
sine
any whole number, fraction, mixed number or decimal; together…
a number without a predictable pattern of digits
in a right triangle, the sum of the squares of the lengths of…
the ratio of the leg opposite an acute angle to the hypotenuse
rational number
any whole number, fraction, mixed number or decimal; together…
irrational number
a number without a predictable pattern of digits
23 terms
Geometry Chapter 6
Ration of a to b
Proportion
Means
Extremes
A/b or a:b
An equation that states that two rations are equal
If a/b= c/d than b and c are this
If a/b= c/d then a and d are this
Ration of a to b
A/b or a:b
Proportion
An equation that states that two rations are equal
22 terms
Geometry Chapter 6
Regular Polygon
Concave
Convex
Diagonal of a Polygon
a polygon that is both equilateral and equiangular
Curved inward
curved outward
A segment that joins two nonconsecutive vertices of a polygon
Regular Polygon
a polygon that is both equilateral and equiangular
Concave
Curved inward
49 terms
Chapter 6 Vocab Geometry
Vertex of a polygon
Diagonal
Regular polygon
Concave
common endpoint of two sides.
A segment that connects any 2 non-consecutive vertices.
Polygon with all congruent sides and angles.
Any part of a diagonal is outside the polygon.("caves in").
Vertex of a polygon
common endpoint of two sides.
Diagonal
A segment that connects any 2 non-consecutive vertices.
19 terms
Geometry Chapter 6 Quiz
Triangle
Quadrilateral
Pentagon
Hexagon
3 sides
4 sides
5 sides
6 sides
Triangle
3 sides
Quadrilateral
4 sides
10 terms
Chapter 6 Geometry Vocab
Rectangle
Kite
Consecutive Angles
Trapezoid
A _________ is a parallelogram with 4 Right Angles
A _________ is a quadrilateral with two pairs of adjacent sid…
Angles of a polygon that share a common side are _____________.
A __________ is a quadrilateral with exactly one pair of para…
Rectangle
A _________ is a parallelogram with 4 Right Angles
Kite
A _________ is a quadrilateral with two pairs of adjacent sid…
17 terms
Geometry Chapter 6 Vocabulary.
base of a trapezoid
base angle of a trapezoid
Concave polygon
Convex polygon
One of the two parallel sides of the trapezoid.
one of a pair of sonsecutive angles whose common side is a ba…
a polygon which a diagonal can be drawn such that part of the…
a polygon in which no diagonal contains points in the exterio…
base of a trapezoid
One of the two parallel sides of the trapezoid.
base angle of a trapezoid
one of a pair of sonsecutive angles whose common side is a ba…
29 terms
Geometry Chapter 6
kite
trapezoid
isosceles trapezoid
parallelogram
a quadrilateral with 2 pairs of consecutive sides, but no opp…
a quadrilateral with exactly one pair of opposite sides paral…
a trapezoid with congruent legs, base angles are congruent, d…
a quadrilateral with opposite sides parallel, opposite sides…
kite
a quadrilateral with 2 pairs of consecutive sides, but no opp…
trapezoid
a quadrilateral with exactly one pair of opposite sides paral…
Chapter 6 Geometry Test
Sum of exterior angles always ='s
Formula for the number of triangles in…
To find how many sides something with…
Exterior Angles in a shape
360 degrees
Number of sides - 2
360/number given =Sides
Sum of exterior angles always ='s
360 degrees
Formula for the number of triangles in…
Number of sides - 2
18 terms
Geometry Theorems, Postulates and Definitions. Chapter 6
The parallel postulate
Theorem 16
Theorem 17
Corollary to theorem 17
Through a point not on a line, there is exactly one line para…
In a plane, two points each equidistant from the endpoints of…
Equal corresponding angles mean that lines are parallel.
Equal alternate interior angles mean that lines are parallel
The parallel postulate
Through a point not on a line, there is exactly one line para…
Theorem 16
In a plane, two points each equidistant from the endpoints of…
15 terms
Geometry Chapter 6 Vocab
Midsegment
Midpoint
Perpendicular Bisector
Equidistant
Connects the midpoint of two sides in a triangle. It is paral…
A point that divides a segment into two congruent sides (in h…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance
Midsegment
Connects the midpoint of two sides in a triangle. It is paral…
Midpoint
A point that divides a segment into two congruent sides (in h…
18 terms
Discovering Geometry - Chapter 6 Conjectures
Tangent Conjecture
Tangent Segments Conjecture
Chord Central Angles Conjecture
Chord Arcs Conjecture
A tangent to a circle is perpendicular to the radius drawn to…
Tangent segments to a circle from a point outside the circle…
If two chords in a circle are congruent, then they determine…
If two chords in a circle are congruent, then their intercept…
Tangent Conjecture
A tangent to a circle is perpendicular to the radius drawn to…
Tangent Segments Conjecture
Tangent segments to a circle from a point outside the circle…
Geometry Chapter 6 Vocabulary
Bases (trapezoid)
Base angles (trapezoid)
Diagonal
Isosceles trapezoid
The parallel sides of a trapezoid
The angles attached to the bases of a trapezoid
A segment connecting two non-consecutive vertices of a polygon
A trapezoid with congruent legs
Bases (trapezoid)
The parallel sides of a trapezoid
Base angles (trapezoid)
The angles attached to the bases of a trapezoid
40 terms
Geometry Chapter 6
Diagonal of a polygon
What is the formula for the sum of the…
What is the formula for finding one in…
What does the sum of the exterior angl…
A segment that connects any two nonconsecutive vertices
(n-2) x 180
(n-2)180 / n
360 degrees
Diagonal of a polygon
A segment that connects any two nonconsecutive vertices
What is the formula for the sum of the…
(n-2) x 180
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