How can we help?

You can also find more resources in our Help Center.

Study sets matching "geometry chapter 6"

Study sets
Classes
Users

Study sets matching "geometry chapter 6"

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.
20 terms
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 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.
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
23 terms
Chapter 6 Geometry (Glencoe)
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.
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
17 terms
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…
12 terms
Geometry Chapter 6 Vocabulary
parallelogram
rhombus
rectangle
square
a quadrilateral with both pair of opposite sides parallel
a parallelogram with four congruent sides
a parallelogram with four right angles
a parallelogram with four congruent sides and four right angles
parallelogram
a quadrilateral with both pair of opposite sides parallel
rhombus
a parallelogram with four congruent sides
20 terms
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
18 terms
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
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…
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
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…
17 terms
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
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)
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
11 terms
Chapter 6 - Geometry Vocabulary
polygon
diagonal of a polygon
parallelogram
rhombus
A closed plane figure made up of line segments
a segment that joins two nonconsecutive vertices
A quadrilateral with two pairs of parallel sides
a parallelogram with 4 congruent sides
polygon
A closed plane figure made up of line segments
diagonal of a polygon
a segment that joins two nonconsecutive vertices
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…
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…
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…
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…
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
58 terms
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…
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.
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…
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.
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
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
12 terms
Geometry: Chapter 6 Vocabulary
Diagonal
Parallelogram
Rhombus
Rectangle
A segment that connects two nonconsecutive vertices.
A quadrilateral with both pairs of opposite side parallel.
A parallelogram with four congruent sides.
A parallelogram with four right angles.
Diagonal
A segment that connects two nonconsecutive vertices.
Parallelogram
A quadrilateral with both pairs of opposite side parallel.
38 terms
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…
10 terms
Big Ideas Math Geometry Chapter 6 Vocabulary
altitude of a triangle
Centroid
Circumcenter
Concurrent
The perpendicular segment from a vertex of a ... triangle to the…
The point of concurrency of the three medians of a triangle.
The point of concurrency of the three ... perpendicular bisector…
Three or more lines, rays, or segments that ... intersect in the…
altitude of a triangle
The perpendicular segment from a vertex of a ... triangle to the…
Centroid
The point of concurrency of the three medians of a triangle.
19 terms
MATH 7: CHAPTER 6 - GEOMETRY
Acute angle
Adjacent angles
Base of a parallelogram
base of a triangle
An acute angle is an angle with a measure between 0 degrees a…
Adjacent angles share a vertex and a side but have no interio…
The height of a parallelogram is the length of a perpendicula…
Any side of a triangle can be considered the base of a triang…
Acute angle
An acute angle is an angle with a measure between 0 degrees a…
Adjacent angles
Adjacent angles share a vertex and a side but have no interio…
17 terms
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
Chapter 6 Geometry Vocabulary
Angle-Angle similarity Theorem
Angle-bisector/ Proportional side theo…
Geometric Mean
Dilation
two triangles are similar if they have two corresponding angl…
If a ray bisects an angle of a triangle then it divides the o…
The central number in a geometric progression
Transformation that produces an image that is the same shape…
Angle-Angle similarity Theorem
two triangles are similar if they have two corresponding angl…
Angle-bisector/ Proportional side theo…
If a ray bisects an angle of a triangle then it divides the o…
10 terms
Chapter 6. MCAS Geometry
corresponding angles
obtuse angle
transversal line
parallel lines
Angles in the same place on different lines
An angle between 90 and 180 degrees
a line that intersects two lines
lines in the same plane that do not intersect
corresponding angles
Angles in the same place on different lines
obtuse angle
An angle between 90 and 180 degrees
26 terms
Geometry Concepts and Skills Chapter 6 Vocabulary
polygon
vertex of a polygon
consecutive vertices
diagonal
A closed plane figure formed by three or more line segments t…
the point where two sides of a polygon meet
two vertices that are endpoints of the same side of a polygon
A line segment connecting non-adjacent nonconsecutive vertice…
polygon
A closed plane figure formed by three or more line segments t…
vertex of a polygon
the point where two sides of a polygon meet
Geometry - Chapter 6 (Walker)
Ratio
Proportion
Means
Extremes
A comparison.
Two equal ratios.
When a proportion is written on one line with colons, these n…
When a proportion is written on one line with colons, these n…
Ratio
A comparison.
Proportion
Two equal ratios.
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…
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.
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
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.
23 terms
Holt Mc Dougal Geometry Chapter 6 Vocabulary
Polygon
Consecutive Angles
Bases of a Trapezoid
Legs of a Trapezoid
A closed plane figure formed by three or more segments.
Angles of a polygon that share a side and are supplementary.
The parallel sides of a trapezoid.
The nonparallel sides of a trapezoid.
Polygon
A closed plane figure formed by three or more segments.
Consecutive Angles
Angles of a polygon that share a side and are supplementary.
17 terms
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
11 terms
AGS Geometry Chapter 6
congruent
congruent angles
congruent segments
congruent triangles
having the exact same size and shape
angles that have equal measures
segments that have the same length
triangles whose corresponding angles and sides are congruent
congruent
having the exact same size and shape
congruent angles
angles that have equal measures
16 terms
Geometry Chapter 6 (2)
def of trapezoid
def of isosceles trapezoid
quadrilateral hierarchy theorem
kite symmetry theorem
a quadrilateral is a ___ IFF it has at least 1 pair of // sides
a trapezoid is an ___ ___ IFF it has a pair of base angles =…
the line containing the ends of a kite is a symmetry line for…
def of trapezoid
a quadrilateral is a ___ IFF it has at least 1 pair of // sides
def of isosceles trapezoid
a trapezoid is an ___ ___ IFF it has a pair of base angles =…
18 terms
Jacob's geometry chapter 6
parallel postulate
In a plane, two points equidistant fro…
Equal corresponding angles mean that
Equal alternate interior angles mean t…
through a point not on a line, there is exactly one line para…
determine the perpendicular bisector of the line segment
lines are parallel
lines are parallel
parallel postulate
through a point not on a line, there is exactly one line para…
In a plane, two points equidistant fro…
determine the perpendicular bisector of the line segment
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.
14 terms
Honors Geometry Chapter 6
Two polygons are similar if...
Scale factor
Perimeters of similar polygons theorem
Transformation
their corresponding angles are congruent and their correspond…
ratio of two corresponding side lengths in similar figures
if two polygons are similar the ratio of the perimeters are t…
An operation that moves or changes a geometric figure in some…
Two polygons are similar if...
their corresponding angles are congruent and their correspond…
Scale factor
ratio of two corresponding side lengths in similar figures
2 of 10