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Study sets matching "geometry chapter 6 flashcards"

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Study sets matching "geometry chapter 6 flashcards"

20 terms
Geometry Chapter 6
triangle
quadrilateral
pentagon
hexagon
a three-sided polygon
a four-sided polygon
a five-sided polygon
a six-sided polygon
triangle
a three-sided polygon
quadrilateral
a four-sided polygon
38 terms
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
17 terms
Geometry Chapter 6 Vocabulary
Regular Polygon
Parallelogram
Rectangle
Rhombus
a polygon with all sides and all angles equal
a quadrilateral with both pairs of opposite sides parallel
A parallelogram with four right angles
A parallelogram with four equal sides
Regular Polygon
a polygon with all sides and all angles equal
Parallelogram
a quadrilateral with both pairs of opposite sides parallel
10 terms
Geometry chapter 6
base angles of a trapezoid
consecutive angles
isosceles trapezoid
kite
each pair of adjacent angles to a base
share a common side
whose nonparallel opposite sides are congruent.
is a quadrilateral with two pairs of congruent adjacent sides…
base angles of a trapezoid
each pair of adjacent angles to a base
consecutive angles
share a common side
22 terms
Geometry Chapter 6
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.
16 terms
Geometry Chapter 6 Key Terms
similar triangles
Angle-Angle Similarity Theorem
Side-Side Similarity Theorem
included angle
triangles that have all pairs of corresponding angles congrue…
"If two angles of one triangle are congruent to two angles of…
"If all three corresponding sides of two triangles are propor…
an angle formed by two consecutive sides of a figure
similar triangles
triangles that have all pairs of corresponding angles congrue…
Angle-Angle Similarity Theorem
"If two angles of one triangle are congruent to two angles of…
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…
18 terms
Geometry Chapter 6 - Quadrilaterals
polygon
sides of a polygon
vertex of a polygon
diagonal of a polygon
A closed plane figure formed by three or more line segments
Each line segment that forms a polygon
the point where two sides of a polygon meet
A segment that joins two nonconsecutive vertices of a polygon
polygon
A closed plane figure formed by three or more line segments
sides of a polygon
Each line segment that forms a polygon
8 terms
Geometry Chapter 6
SAS
AAS
SSS
HL
SAS
AAS
9 terms
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…
45 terms
Geometry Chapter 6 Vocabulary
side of a polygon
vertex of a polygon
diagonal
regular polygon
segment that forms a polygon
common endpoint of two sides
segment that connects any two non consecutive vertices
equilateral and equiangular polygon
side of a polygon
segment that forms a polygon
vertex of a polygon
common endpoint of two sides
23 terms
Geometry Chapter 6
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.
38 terms
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
9 terms
Geometry Chapter 6
Ratio
Proportion
Means
Extremes
Comparison of two numbers, a/b, a:b, a to b
equation that sets two ratios equal
denominator of first ratio, numerator of second ratio
Numerator of first ratio, denominator of second ratio
Ratio
Comparison of two numbers, a/b, a:b, a to b
Proportion
equation that sets two ratios equal
21 terms
Geometry Chapter 6 Quadrilaterals
parallelogram
parallelogram
parallelogram
parallelogram
a quadrilateral where both pairs of opposites sides are paral…
a quadrilateral whoses consecutive angles are supplementary
a quadrilateral where both pairs of opposite sides are congru…
a quadrilateral where both pairs of opposite angles congruent
parallelogram
a quadrilateral where both pairs of opposites sides are paral…
parallelogram
a quadrilateral whoses consecutive angles are supplementary
37 terms
Geometry Chapter 6
polygon
sides of a polygon
vertices
convex
a closed plane figure with at least 3 sides that each interse…
segments that form the polygon
where two sides of a polygon meet
no line that contains a side of the polygon contains a point…
polygon
a closed plane figure with at least 3 sides that each interse…
sides of a polygon
segments that form the polygon
28 terms
Geometry Chapter 6
Opposite sides of a parallelogram are...
Angles of a polygon that share a side…
Opposite angles of a parallelogram are…
Given a parallelogram how do the diago…
congruent
consecutive angles
congruent
They bisect each other
Opposite sides of a parallelogram are...
congruent
Angles of a polygon that share a side…
consecutive angles
13 terms
Geometry Chapter 6
Quadrilateral
Rhombus
Square
Rectangle
4 sided polygon
A parallelogram with 4 congruent sides.
A quadrilateral with 4 sides that are equal and has all 90 de…
A parallelogram with four right angles
Quadrilateral
4 sided polygon
Rhombus
A parallelogram with 4 congruent sides.
14 terms
Geometry chapter 6 flashcards
Thm. 6.2/ side side side similarity th…
Thm 6.3 side angle side similarity thm
Postulate 22 angle angle similarity thm
Thm 6.1 perimeters of similar polygons
If the corresponding side lengths of two triangles are propor…
If an angle of one triangle is congruent to an angle of a sec…
If two angles of one triangle are congruent to two angles of…
If two polygons are similar, then the ratio of their perimete…
Thm. 6.2/ side side side similarity th…
If the corresponding side lengths of two triangles are propor…
Thm 6.3 side angle side similarity thm
If an angle of one triangle is congruent to an angle of a sec…
16 terms
RAHS Geometry Chapter 6
Polygon Interior Angle-Sum Theorem
Equilateral
Equiangular
Regular
The sum of the measures of the interior angles of an n-gon is:
All sides are congruent in a polygon.
All angles are congruent in a polygon.
All sides are congruent and all angles are congruent in a pol…
Polygon Interior Angle-Sum Theorem
The sum of the measures of the interior angles of an n-gon is:
Equilateral
All sides are congruent in a polygon.
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…
18 terms
Geometry Chapter 6 Theorems
____ sides of a parallelogram are cong…
opposite angles of a parallelogram are…
diagonals of a parallelogram
If three or more parallel lines cut of…
opposite
congruent
bisect each other
they cut off congruent segments on every transversal
____ sides of a parallelogram are cong…
opposite
opposite angles of a parallelogram are…
congruent
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
17 terms
Geometry Chapter 6 Vocabulary
Concave
Regular Polygon
Diagonal
Vertex of a Polygon
A polygon in which a diagonal can be drawn such that part of…
A quadrilateral that is both equilateral and equiangular.
A segment connecting two nonconsecutive vertices of a polygon.
The intersection of two sides of the polygon.
Concave
A polygon in which a diagonal can be drawn such that part of…
Regular Polygon
A quadrilateral that is both equilateral and equiangular.
12 terms
Geometry Chapter 6 Vocabulary
base
base angle
diagonal
isosceles trapezoid
...
...
...
...
base
...
base angle
...
49 terms
Geometry Chapter 6
Polygon
Convex
Concave
Vertice Order
A plane figure that meets the conditions:... -Formed by 3 or se…
No spaces when you wrap a rubber band around the shape.
Spaces when you wrap a rubber band around the shape.
List vertices in order around the polygon.
Polygon
A plane figure that meets the conditions:... -Formed by 3 or se…
Convex
No spaces when you wrap a rubber band around the shape.
38 terms
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
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…
31 terms
Sapling Geometry Chapter 6 Vocabulary
Triangle
Acute (triangle)
Right (triangle)
Obtuse (triangle)
a closed figure with three sides
a triangle with three acute angles
a triangle with one right angle
a triangle with one obtuse angle
Triangle
a closed figure with three sides
Acute (triangle)
a triangle with three acute angles
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
13 terms
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.
10 terms
Geometry Chapter 6
Ratio
Proportion
Means
Extremes
A comparison of values written in reduced form:... 3:5, 3 to 5
Set two ratios equal. Can solve it by cross multiplying: 2(x)…
The denominator of the 1st ratio and numerator of the second,…
The numerator of the 1st and the denominator of the 2nd. The…
Ratio
A comparison of values written in reduced form:... 3:5, 3 to 5
Proportion
Set two ratios equal. Can solve it by cross multiplying: 2(x)…
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.
11 terms
Geometry Chapter 6 Vocabulary
Coordinate proof
Equiangular polygon
Equilateral polygon
Isosceles trapezoid
using coordinate geometry and algebra to prove theorems in ge…
a polygon with all angles congruent
a polygon with all sides congruent
a trapezoid with legs that are congruent
Coordinate proof
using coordinate geometry and algebra to prove theorems in ge…
Equiangular polygon
a polygon with all angles congruent
19 terms
Geometry Chapter 6 Vocab
Theorem 6.1
Side-Side-Side (SSS) Similarity Theorem
Side-Angle-Side (SAS) Similarity Theorem
Triangle Proportionality Theorem
If two polygons are similar, then the ratio of their perimete…
If the corresponding side lengths of two triangles are propor…
If an angle of one triangle is congruent to an angle of a sec…
If a line parallel to one side of a triangle intersects the o…
Theorem 6.1
If two polygons are similar, then the ratio of their perimete…
Side-Side-Side (SSS) Similarity Theorem
If the corresponding side lengths of two triangles are propor…
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.
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.
11 terms
Geometry Chapter 6
Bases
Base angles
Diagonals
Isosceles trapezoid
The parallel sides of a trapezoid
The angles on either side of a base
The line between two non adjacent vertices in a polygon; it c…
A trapezoid whose legs are congruent
Bases
The parallel sides of a trapezoid
Base angles
The angles on either side of a base
15 terms
chapter 6 vocab geometry
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
Define: Polygon
Name 2 things a polygon MUST be
Name 2 things a polygon CAN'T be
Explain: Side of a polygon
closed plane figure formed by three or more line segments
1. connected ... 2. straight
1. be open... 2. curved
Segements that form polygons
Define: Polygon
closed plane figure formed by three or more line segments
Name 2 things a polygon MUST be
1. connected ... 2. straight
15 terms
Chapter 6 Geometry 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…
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…
24 terms
Geometry Chapter 6 Vocabulary
Concurrent Lines
Angle Bisector
Perpendicular Bisector
Median
3 or more lines that intersect at one point
a segment that suts an angle in half
a segment bisector that is also perpendicular to the segment
a segment that joins a vertex of a triangle and the midpoint…
Concurrent Lines
3 or more lines that intersect at one point
Angle Bisector
a segment that suts an angle in half
33 terms
Geometry Chapter 6
polygon interior angles sum
diagonal of a polygon
polygon exterior angles sum
parallelogram
sum of inter angles of convex n-gon is (n-2)180
A segment that joins two nonconsecutive vertices of a polygon
The sum of the measures of the exterior angles of a convex po…
A quadrilateral with two pairs of parallel sides
polygon interior angles sum
sum of inter angles of convex n-gon is (n-2)180
diagonal of a polygon
A segment that joins two nonconsecutive vertices of a polygon
26 terms
Geometry- Chapter 6
Parallelogram
Rhombus
Rectangle
Square
A quadrilateral with two pairs of parallel sides. You can cho…
A parallelogram with four congruent sides.
A parallelogram with four right angles.
A parallelogram with four congruent sides and four right angl…
Parallelogram
A quadrilateral with two pairs of parallel sides. You can cho…
Rhombus
A parallelogram with four congruent sides.
Geometry Chapter 6 Vocabulary
Square
Square Root
Radical
Right Triangle
The product of multiplying a number by itself
The number that was squared
A number with a square root symbol
A triangle with one right angle
Square
The product of multiplying a number by itself
Square Root
The number that was squared
18 terms
Geometry Chapter 6
Ratios
Equivalent Ratios
Proportion
Means of the Proportion
expressed in simplest form
2 ratios that have the same simplified form
an equation that states that 2 ratios are equal... - 2/6 = 1/3
numbers b and c
Ratios
expressed in simplest form
Equivalent Ratios
2 ratios that have the same simplified form
15 terms
Chapter 6 Vocab: Geometry
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
Dilation
Scale factor of a dilation
Similar polygons
Scale factor of two similar polygons
a transformation that preserves angle measures and results in…
in a dilation, the ratio of a side length of the image to the…
two polygons such that their corresponding angles are congrue…
the ratio of the lengths of two corresponding sides of two si…
Dilation
a transformation that preserves angle measures and results in…
Scale factor of a dilation
in a dilation, the ratio of a side length of the image to the…
13 terms
chapter 6 geometry vocabulary
Polygon
Sides
Consecutive vertices
Diagonal
a plane figure that is formed by three or more segments
segment of a pdygon
two vertices that are endpoint of the same sides
a segment that joins two nonconsecutive vertices of a polygon…
Polygon
a plane figure that is formed by three or more segments
Sides
segment of a pdygon
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