Study sets matching "geometry chapter 6"

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Study sets matching "geometry chapter 6"

Geometry Chapter 6 Vocabulary
Quadrilateral
Triangle
Pentagon
Hexagon
A four sided polygon
a three sided polygon
a five sided polygon
a six sided polygon
Quadrilateral
A four sided polygon
Triangle
a three sided polygon
21 terms
Geometry Chapter 6 Terms
Polygon Angle Sum Theorem
Corollary to the Polygon Angle Sum The…
Polygon Exterior Angle-Sum Theorem
If three or more parallel lines cut of…
The sum of the measures of the interior angles of an n-gon is…
The measure of each interior angle of a regular n-gon is (n-2…
The Sum of the measures of the exterior angles of a polygon,…
Then they cut off congruent segments on every transversal.
Polygon Angle Sum Theorem
The sum of the measures of the interior angles of an n-gon is…
Corollary to the Polygon Angle Sum The…
The measure of each interior angle of a regular n-gon is (n-2…
Geometry Chapter 6
definition of a parallelogram
properties of a parallelogram
definition of a rectangle
definition of a rhombus
a quadrilateral with both pairs of opposite sides parallel
1. both pairs of opposite sides are congruent... 2. both pairs o…
a parallelogram with 4 right angles
a parallelogram with 4 congruent sides
definition of a parallelogram
a quadrilateral with both pairs of opposite sides parallel
properties of a parallelogram
1. both pairs of opposite sides are congruent... 2. both pairs o…
Geometry Chapter 6 Vocabulary
Diagonal
Parallelogram
Rectangle
Rhombus
A segment that connects any two nonconsecutive verticies.
A quadrilateral with both pairs of opposite sides parallel.
A parallelogram with four right angles.
A parallelogram with all four sides congruent.
Diagonal
A segment that connects any two nonconsecutive verticies.
Parallelogram
A quadrilateral with both pairs of opposite sides parallel.
21 terms
Geometry Chapter 6
Two points are symmetric with respect…
Two lines are parallel iff
Transversal
The Parallel Postulate
the line is the perpendicular bisector of the line segment co…
they lie in the same plane and do not intersect.
is a line that "goes across" -that is, "intersects" two or mo…
Through a point not on a line, there is exactly one line para…
Two points are symmetric with respect…
the line is the perpendicular bisector of the line segment co…
Two lines are parallel iff
they lie in the same plane and do not intersect.
Geometry Chapter 6
def of reflection-symmetric figure, sy…
flip-flop theorem
segment symmetry theorem
side-switching theorem
a plane figure F is a ___-___ figure IFF there is a line M su…
if F and G are points/figures and the reflection over line L…
every segment has exactly 2 lines of symmetry:... 1) the line co…
if 1 side of an angle is reflected over the line containing t…
def of reflection-symmetric figure, sy…
a plane figure F is a ___-___ figure IFF there is a line M su…
flip-flop theorem
if F and G are points/figures and the reflection over line L…
12 terms
Geometry Terms Chapter 6
Diagonal
Parallelogram
Rectangle
Rhombus
In a polygon, a segment that connects nonconsecutive vertices…
A quadrilateral with two pairs of parallel sides
A parallelogram with four right angles and two pairs of congr…
A parallelogram with all four sides congruent
Diagonal
In a polygon, a segment that connects nonconsecutive vertices…
Parallelogram
A quadrilateral with two pairs of parallel sides
21 terms
Chapter6 Vocabulary Geometry
concave
convex
decagon
Hexagon
polygon will always have an interior angle with a measure tha…
all interior angles are less than or equal to 180 degrees
10 sided
6sided
concave
polygon will always have an interior angle with a measure tha…
convex
all interior angles are less than or equal to 180 degrees
14 terms
geometry chapter 6
two polygons are _____ _____ if corres…
statement of proportionality
scale factor
perimeters of similar polygons (theorem)
similar polygons
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 _____ _____ if corres…
similar polygons
statement of proportionality
Chapter 6 Geometry 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 consecutive angles whose common side is a ba…
a polygon in which a diagonal can be drawn such that part of…
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 consecutive angles whose common side is a ba…
16 terms
Geometry Chapter 6 Vocabulary
Altitude
angle bisector
base
centroid
A perpendicular segment in which one endpoint is a vertex of…
A ray whose endpoint is the vertex and is located in the inte…
The side opposite the vertex angle
The point of intersection of the 3 medians of a triangle
Altitude
A perpendicular segment in which one endpoint is a vertex of…
angle bisector
A ray whose endpoint is the vertex and is located in the inte…
12 terms
Geometry Chapter 6 Vocab
diagonal
parallelogram
rectangle
rhombus
a segment that connects any two nonconsecutive vertices
a quadrilateral with both pairs of opposite sides parallel
a parallelogram with four right angles
a parallelogram with all four sides congruent
diagonal
a segment that connects any two nonconsecutive vertices
parallelogram
a quadrilateral with both pairs of opposite sides parallel
Geometry chapter 6
base angles of a trapezoid
isosceles trapezoid
kite
midsegment of a trapezoid
each pair of adjacent angles to a base
whose nonparallel opposite sides are congruent.
is a quadrilateral with two pairs of congruent adjacent sides…
is the segment that joins the midpoints of the nonparallel op…
base angles of a trapezoid
each pair of adjacent angles to a base
isosceles trapezoid
whose nonparallel opposite sides are congruent.
18 terms
Holt Geometry Chapter 6 Vocabulary
concave
convex
isosceles trapezoid
kite
A polygon where part of the diagonal is in the exterior
A polygon where the entire diagonal is in the interior
Trapezoid where the legs are congruent
Quadrilateral with exactly two pairs of consecutive sides
concave
A polygon where part of the diagonal is in the exterior
convex
A polygon where the entire diagonal is in the interior
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…
Geometry 2016, Chapter 6 Vocabulary
The sum of all angles is (n - 2) * 180.
The sum of all exterior angles is 360.
The sum of all one interior angle of a…
Congruent
Polygon Angle Sum Theorem
Polygon Exterior Angle Theorem
Polygon Interior Angle Sum Theorem
Diagonals of a Rectangle
The sum of all angles is (n - 2) * 180.
Polygon Angle Sum Theorem
The sum of all exterior angles is 360.
Polygon Exterior Angle Theorem
Geometry - Chapter 6
Polygon
Regular
Irregular
Sum of interior angles of a polygon
A closed plane figure formed by 3 or more segments that inter…
Equilateral and equiangular
Not equilateral or equiangular
(n-2)(180)
Polygon
A closed plane figure formed by 3 or more segments that inter…
Regular
Equilateral and equiangular
17 terms
Chapter 6 Geometry Vocabulary (Pearson)
Each pair of angles adjacent to a base.
The two parallel sides of a trapezoid.
Angles of a polygon that share a commo…
A polygon whose angles are all equal o…
Base Angles of a Trapezoid
Base of a Trapezoid
Consecutive Angles
Equiangular Polygon
Each pair of angles adjacent to a base.
Base Angles of a Trapezoid
The two parallel sides of a trapezoid.
Base of a Trapezoid
48 terms
Geometry Chapter 6
Quadrilateral
Special Quadrilaterals
Parallelogram
6 Properties of Parallelogram
any four-sided polygon
quadrilaterals that have certain properties
a quadrilateral with both pairs of opposite sides parallel
A quadrilateral with both pairs of opposite sides parallel... -…
Quadrilateral
any four-sided polygon
Special Quadrilaterals
quadrilaterals that have certain properties
Geometry-Chapter 6
If two numbers or quantaties and b is…
An equation that states that two ratio…
The ___ ____ of two positive numbers a…
Cross Products property, If a/b=c/d wh…
ratio of a to b
proportion, means, extremes
geometric mean
ad=bc
If two numbers or quantaties and b is…
ratio of a to b
An equation that states that two ratio…
proportion, means, extremes
15 terms
Geometry Chapter 6
Diagonal
Polygon Interior Angles Sum
Polygon Exterior Angles Sum
Parallelogram
A segment in a polygon that connects a vertex with another ve…
The sum of the interior angle measures of a convex polygon wi…
The sum of the exterior angle measures of a convex polygon, o…
A quadrilateral that has two pairs of parallel sides
Diagonal
A segment in a polygon that connects a vertex with another ve…
Polygon Interior Angles Sum
The sum of the interior angle measures of a convex polygon wi…
Geometry-Chapter 6 Vocab.
base of a trapezoid
base angle of a trapezoid
concave
convex
one of the two parallel sides of the trapezoid
one of a pair of consecutive angles whose common side is a ba…
a polygon in which a diagonal can be drawn such that part of…
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 consecutive angles whose common side is a ba…
25 terms
geometry chapter 6
sum of interior angles of a shape with…
measure of one interior angle of a sha…
sum of exterior angles of a shape with…
measure of one exterior angle of a sha…
180(n-2)
180(n-2)/n
360
360/n
sum of interior angles of a shape with…
180(n-2)
measure of one interior angle of a sha…
180(n-2)/n
34 terms
geometry chapter 6
x-axis
y-axis
origin
coordinate
horizontal line of the coordinate plane
the vertical line of the coordinate plane
the point which the x and y axis intersect perpendicularly
every point on a plane that can be described by 2 numbers
x-axis
horizontal line of the coordinate plane
y-axis
the vertical line of the coordinate plane
6 terms
Geometry Chapter 6
Parallelogram
Rectangle
Square
Kite
A quadrilateral with both pairs of opposite sides parallel
A parallelogram with four right angles
A parallelogram with four congruent sides and four right angles
A quadrilateral with two pairs of adjacent sides congruent an…
Parallelogram
A quadrilateral with both pairs of opposite sides parallel
Rectangle
A parallelogram with four right angles
11 terms
Geometry Chapter 6
perpendicular uniqueness theorem (plane)
perpendicular bisector (plane)
PBT (plane)
PBT Corollary
in a given plane, through a given point of a given line, ther…
of a segment is the line that is perpendicular to the segment…
the perpendicular bisector of a segment is the set of all poi…
given a segment and a line in the same plan, if two pints of…
perpendicular uniqueness theorem (plane)
in a given plane, through a given point of a given line, ther…
perpendicular bisector (plane)
of a segment is the line that is perpendicular to the segment…
15 terms
Chapter 6 Vocabulary Geometry
Midsegment
Midpoint
Perpendicular Bisector
Equidistant
connects the midpoint of two sides in a triangle. It is paral…
a point that divides a segment into congruent pieces (in half)
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 congruent pieces (in half)
35 terms
Geometry Chapter 6 Vocabulary
Polygon Angle-Sum Theorem
Corollary to the Polygon Angle-Sum The…
Polygon Exterior Angle-Sum Theorem
parallelogram
the sum of the measures of a n-gon is (n-2)180
the measure of each interior angle of a regular polygon is (n…
the sum of the measures of the exterior angles of a convex po…
a quadrilateral whose opposite sides are both parallel and eq…
Polygon Angle-Sum Theorem
the sum of the measures of a n-gon is (n-2)180
Corollary to the Polygon Angle-Sum The…
the measure of each interior angle of a regular polygon is (n…
8 terms
chapter 6 terms - geometry
concurrent lines
circumcenter
incenter
median of a triangle
3 or more lines that intersect at one point
the point of concurrency of the perpendicular bisectores of t…
the point of concurrency of the angle bisectors
a segment from a vertex to the midpoint of the opposite side
concurrent lines
3 or more lines that intersect at one point
circumcenter
the point of concurrency of the perpendicular bisectores of t…
19 terms
Geometry Chapter 6
similar polygons≅⊥
is similar to symbol
Corresponding vertices are listed in _…
corresponding angles similar
Two polygons are similar polygons if corresponding angles are…
ABCD is similar --> EFGH or ABCD ~ EFGH
the same order
<A ≅ <E... <B ≅ <F... <C ≅ <G... <D ≅ <H
similar polygons≅⊥
Two polygons are similar polygons if corresponding angles are…
is similar to symbol
ABCD is similar --> EFGH or ABCD ~ EFGH
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 two congruent pieces (in…
A line that is perpendicular to a segment at its midpoint (cu…
The same distance.
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 two congruent pieces (in…
12 terms
Geometry Chapter 6 Glencoe 2010
Base
Base Angle of a trapezoid
Diagonal
Isosceles Trapezoid
The parallel sides of a trapezoid.
Trapezoid angles formed by the base and one of the legs.
In a polygon, a segment that connects nonconsecutive vertices…
A trapezoid in which the legs are congruent, both pairs of ba…
Base
The parallel sides of a trapezoid.
Base Angle of a trapezoid
Trapezoid angles formed by the base and one of the legs.
21 terms
Sheltered Geometry: Chapter 6 Vocabulary - Polygons & Quadrilaterals
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.
27 terms
Geometry Chapter 6
Theorem 16
Theorem 17
Corollary 1 to Theorem 17
Corollary 2 to Theorem 17
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
Supplementary interior angles on the same side of a transvers…
Theorem 16
In a plane, two points each equidistant from the endpoints of…
Theorem 17
Equal Corresponding angles mean that lines are parallel
9 terms
Geometry Chapter 6 (BJU Press)
Alternate Exterior Angles
Alternate Interior Angles
Congruent Circles
Congruent Quadrilaterals
Angles on the exterior of the two lines and on opposite sides…
Angles on the interior of the two lines and on opposite sides…
Circles with congruent radii
Quadrilaterals with all corresponding parts congruent
Alternate Exterior Angles
Angles on the exterior of the two lines and on opposite sides…
Alternate Interior Angles
Angles on the interior of the two lines and on opposite sides…
Geometry- Chapter 6 - Polygons
polygon
vertex
diagonal
convex polygon
a closed plane figure formed by three or more segments.
the endpoint of two sides
a segment joining two nonconsecutive vertices
has no diagonal with points outside the polygon
polygon
a closed plane figure formed by three or more segments.
vertex
the endpoint of two sides
15 terms
Glencoe Geometry Chapter 6
Base of a Trapezoid
Base Angle of a Trapezoid
Diagonal
Isosceles Trapezoid
The one pair of parallel sides.
Angles that connect the base to the leg.
This is in polygons with three sides or more connecting any t…
If the legs are congruent; both pairs of base angles are cong…
Base of a Trapezoid
The one pair of parallel sides.
Base Angle of a Trapezoid
Angles that connect the base to the leg.
22 terms
Geometry - Chapter 6 Review
Diagonal
Triangle
Quadrilateral
Pentagon
In a polygon, a segment that connects nonconsecutive vertices…
A three sided polygon.
A four sided polygon.
A five sided polygon.
Diagonal
In a polygon, a segment that connects nonconsecutive vertices…
Triangle
A three sided polygon.
19 terms
Geometry chapter 6 vocab
Perpendicular bisector theorem
Angle bisector theorem
Circumcenter
Incenter
-equidistant from the endpoints of the segment
-equidistant from the two sides of the angle
-equidistant from the vertices (angles) of the triangle... -perp…
-equidistant from the sides of a triangle... -always inside the…
Perpendicular bisector theorem
-equidistant from the endpoints of the segment
Angle bisector theorem
-equidistant from the two sides of the angle
17 terms
Chapter 6 Basic Geometry
polygon
diagonal of a polygon
quadrilateral
parallelogram
A plane figure that is formed by three or more segments calle…
A segment that joins two nonconsecutive vertices of a polygon.
A polygon with four sides.
A quadrilateral with both pairs of opposite sides parallel.
polygon
A plane figure that is formed by three or more segments calle…
diagonal of a polygon
A segment that joins two nonconsecutive vertices of a polygon.
22 terms
Geometry Chapter 6: Quadrilaterals
Diagonal
Triangle
Quadrilateral
Pentagon
In a polygon, a segment that connects nonconsecutive vertices…
A three sided polygon.
A four sided polygon.
A five sided polygon.
Diagonal
In a polygon, a segment that connects nonconsecutive vertices…
Triangle
A three sided polygon.
Geometry Chapter 6
properties of inequalities
exterior angle inequality theorem
given if p then q; converse
given if p then q; converse
a>b, b>c, then a >c... a > b, c>0, then a+c > b+c... a> b, c> 0, th…
the exterior angle of a triangle is greater than either remot…
q then p
inverse not p then not q
properties of inequalities
a>b, b>c, then a >c... a > b, c>0, then a+c > b+c... a> b, c> 0, th…
exterior angle inequality theorem
the exterior angle of a triangle is greater than either remot…
NW Geometry Chapter 6
diagonal
Polygon Interior Angles Sum Theorem
Polygon Exterior Angles Sum Theorem
parallelogram
A segment that connects any two non-consecutive vertices
The sum of the interior angle measures of an n-sided convex p…
The sum of the exterior angles measures of a convex polygon,…
A quadrilateral with both pairs of opposite sides parallel
diagonal
A segment that connects any two non-consecutive vertices
Polygon Interior Angles Sum Theorem
The sum of the interior angle measures of an n-sided convex p…
32 terms
Chapter 6 & 7 Geometry Vocabulary
diameter
diagonal
right trapezoid
two-dimensional
a line segment drawn through the center of a circle with both…
a segment that connects any two vertices of the polygon but i…
a trapezoid with exactly two right angles
a figure that lies on a flat surface that has length and width
diameter
a line segment drawn through the center of a circle with both…
diagonal
a segment that connects any two vertices of the polygon but i…
23 terms
Geometry Chapter 6 Conjectures
Inscribed angle conjecture
Inscribed angles intersecting arcs
Angles inscribed in a semicircle
Parallel lines intercepted arcs conjec…
The measure of an inscribed angle is 1/2 the intercepted arc
Inscribed angles that intercept the same arc are congruent
Angles inscribed in a semicircle are right angles
The arcs between a pair of parallel lines are congruent
Inscribed angle conjecture
The measure of an inscribed angle is 1/2 the intercepted arc
Inscribed angles intersecting arcs
Inscribed angles that intercept the same arc are congruent
22 terms
Geometry- Chapter 6 Vocabulary
base of a prism
dihedral angle
edge of a polyhedron
edge of a dihedral angle
A face formed by the polygonal region or its image.
The figure formed by two half-planes with a common edge.
The segment formed by the intersection of two faces of a poly…
The intersection of the half-planes of a dihedral angle.
base of a prism
A face formed by the polygonal region or its image.
dihedral angle
The figure formed by two half-planes with a common edge.
12 terms
Honors Geometry Chapter 6
Similar polygons
Scale Factor
Perimeters of Similar Polygons
Corresponding lengths in similar polyg…
Polygons whose corresponding angles are congruent and whose c…
If two polygons are similar, then the ratio of the lengths of…
If two polygons are similar, then the ratio of their perimete…
if two polygons are similar, then the ratio of any two corres…
Similar polygons
Polygons whose corresponding angles are congruent and whose c…
Scale Factor
If two polygons are similar, then the ratio of the lengths of…
Geometry Chapter 6
base angle of a trapezoid
base of a trapezoid
concave (polygon)
convex (polygon)
Two consecutive... angles whose... common side is a... base
Each of the parallel... sides of a trapezoid
If any part of a diagonal... contains points in the... exterior of…
If no diagonal contains... points in the exterior
base angle of a trapezoid
Two consecutive... angles whose... common side is a... base
base of a trapezoid
Each of the parallel... sides of a trapezoid
BJU Geometry Chapter 6 - Congruent Triangles
SSS
SAS
ASA
AAS
Three sides of one triangle are congruent to three sides of a…
Two sides and the included angle of one triangle are congruen…
Two angles and the included side of one triangle are congruen…
Two angles and the non-included side of one triangle are cong…
SSS
Three sides of one triangle are congruent to three sides of a…
SAS
Two sides and the included angle of one triangle are congruen…
20 terms
Geometry Chapter 6
Proportion
Means
Extremes
Geometric Mean
An equation that states that two ratios are equal
In a proportion, the denominator of the first equation and th…
In a proportion, the numerator of the first equation and the…
A positive number that satisfies the proportion a/x= x/b; x =…
Proportion
An equation that states that two ratios are equal
Means
In a proportion, the denominator of the first equation and th…
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