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Study sets matching "geometry chapter 6"

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
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.
31 terms
Geometry Chapter 6
Coplanar
Non Coplanar
What does determine mean?
How can you determine a plane?
two or more points, lines, or rays that are on the same plane
3 or more points that are not all on the same plane
determine means there is one and only one
three noncollinear points determine a plane, a line and a poi…
Coplanar
two or more points, lines, or rays that are on the same plane
Non Coplanar
3 or more points that are not all on the same plane
25 terms
Geometry Chapter 6 Vocabulary
parallelogram
rhombus
rectangle
square
quadrilateral with 2 pairs of opposite sides parallel
a parallelogram with all sides congruent
parallelogram with 4 right angles
rectangle with 4 congruent sides
parallelogram
quadrilateral with 2 pairs of opposite sides parallel
rhombus
a parallelogram with all sides congruent
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
23 terms
Geometry Chapter 6 Vocabulary Words
Polygon
Concave Polygon
Triangle
Quadrilateral
is a closed figures that in the intersection of line segment…
if any diagal exterior points
3 sides
4 sides
Polygon
is a closed figures that in the intersection of line segment…
Concave Polygon
if any diagal exterior points
38 terms
Geometry - Chapter 6 Vocab
Diagonal
Polygon Interior Angle Theorem
Regular Polygon Interior Angle Theorem
Polygon Exterior Angle Theorem
connects any 2 nonconsecutive vertices
the sum of the measures of the interior angles of a polygon i…
the measure of an interior angle of a regular polygon is (n…
the sum of one exterior angle per vertex of any polygon is 360
Diagonal
connects any 2 nonconsecutive vertices
Polygon Interior Angle Theorem
the sum of the measures of the interior angles of a polygon i…
21 terms
Geometry Concepts: Chapter 6
polygon
sides
vertex
diagonal
a plane figure that is formed by three or more segments
a polygon is formed by three or more segments called
in a polygon, each endpoint is a
a segment that joins two nonconsecutive vertices of a polygon…
polygon
a plane figure that is formed by three or more segments
sides
a polygon is formed by three or more segments called
44 terms
Geometry Chapter 6
Flip-Flop Theorem 6-1
Segment Symmetry Theorem 6-1
Side-Switching Theorem 6-1
Angle Symmetry Theorem 6-1
If F and G are points / figures and rL(F) = G, then rL(G) = F
Every segment has exactly two symmetry lines:... 1) the line of…
If one side of an angle is reflected over the line containing…
The line containing the bisector of an angle is a symmetry li…
Flip-Flop Theorem 6-1
If F and G are points / figures and rL(F) = G, then rL(G) = F
Segment Symmetry Theorem 6-1
Every segment has exactly two symmetry lines:... 1) the line of…
29 terms
chapter 6 geometry
triangle
quadrilateral
pentagon
hexagon
3 sides
4 sides
5 sides
6 sides
triangle
3 sides
quadrilateral
4 sides
36 terms
Chapter 6 Theorems: Geometry
Polygon Angle Sum Theorem
Polygon Exterior angles sum theorem
Properties of Parallelograms (6-2-1)
Properties of Parallelograms (6-2-2)
the sum of the interior angle measures of a convex polygon wi…
The sum of the exterior angle measures, one angle at each ver…
if a quadrilateral is a parallelogram, then its opposite side…
If a quadrilateral is a parallelogram, then its opposite angl…
Polygon Angle Sum Theorem
the sum of the interior angle measures of a convex polygon wi…
Polygon Exterior angles sum theorem
The sum of the exterior angle measures, one angle at each ver…
17 terms
Holt Geometry Chapter 6
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…
when any part of a diagonal contains points in the exterior o…
when no diagonal contains points in the exterior of the polygon
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 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…
8 terms
Teaching Textbooks Geometry Chapter 6
Altitude of a triangle
Median of a triangle
congruent.
equiangular
A segment drawn from any vertex of the triangle perpendicular…
A segment drawn from any vertex of the triangle to the midpoi…
Base Angle Theorem - If two sides of a triangle are congruent…
If a triangle is equilateral, then it is also ____
Altitude of a triangle
A segment drawn from any vertex of the triangle perpendicular…
Median of a triangle
A segment drawn from any vertex of the triangle to the midpoi…
8 terms
Chapter 6 geometry Jamie
Plane figure
Solid figure
Rhombus
Hexagon
I am a figure that is flat and closed
I am a figure that is not flat
I have four equal sides
I am a shape with 6 sides
Plane figure
I am a figure that is flat and closed
Solid figure
I am a figure that is not flat
12 terms
Geometry chapter 6
6.1 Definition of A parallelogram
Theorem 6.2
Theorem 6.3
Theorem 6.4
A quadrilateral where both pairs of opposite sides are parallel
If a quadrilateral is a parallelogram
If a quadrilateral is a paralleogram, then it's opposite angl…
If a quadrilateral is a parallelogram, then its consecutive a…
6.1 Definition of A parallelogram
A quadrilateral where both pairs of opposite sides are parallel
Theorem 6.2
If a quadrilateral is a parallelogram
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
20 terms
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…
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.
24 terms
Chapter 6 Geometry A
Sum of interior angles of a Polygon
Each interior angle of a REGULAR polygon
Sum of the exterior angles of any poly…
Each exterior angle of a REGULAR polygon
180(n-2)
180(n-2)/n
360
360/n
Sum of interior angles of a Polygon
180(n-2)
Each interior angle of a REGULAR polygon
180(n-2)/n
33 terms
Geometry- Chapter 6
Triangle
Quadrilateral
Pentagon
Hexagon
3 sides
4 sides
5 sides
6 sides
Triangle
3 sides
Quadrilateral
4 sides
40 terms
Chapter 6 - Geometry Vocab
polygon
diagonal
regular polygon
concave polygon
a closed plane figure formed by 3 or more line segments that…
a segment that connects any 2 nonconsecutive vertices in a po…
a polygon that is both equilateral and equiangular
a polygon is considered concave if any part of a diagonal con…
polygon
a closed plane figure formed by 3 or more line segments that…
diagonal
a segment that connects any 2 nonconsecutive vertices in a po…
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
12 terms
Geometry Chapter 6 Vocabulary
scale drawing
scale
dialation
center of dialation
same shape as the object the scale represents
relation of the dimensions in the drawing compared to the act…
transformation that stretches or shrinks a figure to create a…
ratio of a side length of the image to the corresponding side…
scale drawing
same shape as the object the scale represents
scale
relation of the dimensions in the drawing compared to the act…
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…
10 terms
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
23 terms
Geometry Chapter 6
1st Property of Inequality... If a>b and…
2nd property of inequality... If a>b and…
3rd property of inequality... If a>b and…
4th property of inequality... If a>b and…
then a+c>b+d
then ac>bc and a/c>b/c
then ac<bc and a/c<b/c
then a>c
1st Property of Inequality... If a>b and…
then a+c>b+d
2nd property of inequality... If a>b and…
then ac>bc and a/c>b/c
12 terms
Geometry Chapter 6 conjectures
Chord Central Angles Conjecture
Chord Arcs Conjecture
Perpendicular to a Chord Conjecture
Chord Distance to Center Conjecture
If two chords in a circle are congruent, then they determine…
If two chords in a circle are congruent, then their intercept…
The perpendicular from the center of a circle to a chord is t…
Two congruent chords in a circle are equidistant from the cen…
Chord Central Angles Conjecture
If two chords in a circle are congruent, then they determine…
Chord Arcs Conjecture
If two chords in a circle are congruent, then their intercept…
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…
17 terms
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
8 terms
Honors Geometry Chapter 6
Perimeters of similar polygons
Angle-angle similarity postulate
Side-side-side similarity theorem
Side-angle-side similarity theorem
if two polygons are similar, then the ratio of their perimete…
If two angles of one triangle are congruent to two angles of…
If the corresponding side lengths of two triangles are propor…
If an angle of one triangle is congruent to an angle of a sec…
Perimeters of similar polygons
if two polygons are similar, then the ratio of their perimete…
Angle-angle similarity postulate
If two angles of one triangle are congruent to two angles of…
26 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 2 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
15 terms
Geometry Chapter 6 - JBUZ
Dilation
Scale factor of a Dilation
Similar Polygons
Scale Factor of Two Similar Polygons
A transformation in which the lines connecting every point P…
In a Dilation, the ratio of a linear measurement of the image…
Two polygons whose corresponding angles are congruent and who…
All corresponding sides and angles in a triangle are congruent.
Dilation
A transformation in which the lines connecting every point P…
Scale factor of a Dilation
In a Dilation, the ratio of a linear measurement of the image…
57 terms
Chapter 6 Geometry : Quadrilaterals
Opposite Sides are Parallel
Opposite Sides are Congruent
Opposite Angles are Congruent
Diagonals Bisect Each Other
Parallelogram, rectangle, rhombus, square
Parallelogram, rectangle, rhombus, square
Parallelogram, rectangle, rhombus, square
Parallelogram, rectangle, rhombus, square
Opposite Sides are Parallel
Parallelogram, rectangle, rhombus, square
Opposite Sides are Congruent
Parallelogram, rectangle, rhombus, square
24 terms
Honors Geometry Chapter 6
Rhombus
Rectangle
Square
Trapezoid
Has all properties of a parallelogram, four congruent sides,…
Parallelogram with four right angles, diagonals are congruent
A parallelogram with four congruent sides and four right angl…
A quad with one pair of parallel sides
Rhombus
Has all properties of a parallelogram, four congruent sides,…
Rectangle
Parallelogram with four right angles, diagonals are congruent
18 terms
Chapter 6 Geometry Theorems
theorem 6-1
theorem 6-2
theorem 6-3
theorem 6-4
opposite sides of a parallelogram are congruent
opposite angles of a parallelogram are congruent
the diagonals of a parallelogram bisect each other
if three (or more) parallel lines cut off congruent segments…
theorem 6-1
opposite sides of a parallelogram are congruent
theorem 6-2
opposite angles of a parallelogram are congruent
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.
14 terms
Yost Geometry Chapter 6
Circumcenter
Incenter
Centroid
Orthocenter
Point of concurrency equidistant from the 3 vertices of a tri…
Point of concurrency equidistant from the sides of a triangle…
Point of concurrency that is 2/3 the distance from each verte…
Point of concurrency, made by concurrent altitudes.
Circumcenter
Point of concurrency equidistant from the 3 vertices of a tri…
Incenter
Point of concurrency equidistant from the sides of a triangle…
8 terms
CP Geometry Chapter 6
similar polygons
statement of proportionality
scale factor
perimeters of similar polygons theorem
two polygons are this if corresponding angles are congruent a…
AB/DE = BC/EF = CA/FD
the ratio of the lengths of two corresponding sides if two po…
if two polygons are similar, then the ratio of their perimete…
similar polygons
two polygons are this if corresponding angles are congruent a…
statement of proportionality
AB/DE = BC/EF = CA/FD
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…
20 terms
Chapter 6 Geometry Review
What are concurrent line?
What is an angle bisector?
What if the point of concurrency of an…
The incenter is the center of what?
3 or more lines that intersect at one point
a line that bisects an angle
incenter
an inscribed circle
What are concurrent line?
3 or more lines that intersect at one point
What is an angle bisector?
a line that bisects an angle
14 terms
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…
8 terms
FHS Big Ideas Geometry Chapter 6 Postulates, Properties, & Theorems
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Angle Bisector Theorem
Converse of the Angle Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
In a plane, if a point is equidistant from the endpoints of…
If a point lies on the bisector of an angle, then it is ... equi…
If a point is in the interior of an angle and is equidistant…
Perpendicular Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
Converse of the Perpendicular Bisector…
In a plane, if a point is equidistant from the endpoints of…
17 terms
Geometry Chapter 6 Vocabulary
Concave
Diagonal
Isosceles Trapezoid
Kite
Exterior of a polygon
Segment that connects any two nonconsecutive verticles
Legs of a trapezoid are congruent
Quadrilateral with two pairs of congruent consecutive sides
Concave
Exterior of a polygon
Diagonal
Segment that connects any two nonconsecutive verticles
11 terms
Geometry Honors chapter6
ratio of a to b
proportion
geometric mean
scale drawing
a comparison of 2 numbers using division.
an equation that states that two ratios are equal
for two positive numbers a and b, the positive number x that…
a drawing that is the same shape as the object it represents
ratio of a to b
a comparison of 2 numbers using division.
proportion
an equation that states that two ratios are equal
36 terms
Chapter 6 Geometry study guide.
rectangle definition
Rhombus definition
square definition
If a parallelogram is a rhombus, then…
a parallelogram with 4 right angles
a parallelogram with all sides congruent ... " squished square"
a parallelogram with 4 right angles and all sides congruent.…
the diagonals are perpendicular to each other.
rectangle definition
a parallelogram with 4 right angles
Rhombus definition
a parallelogram with all sides congruent ... " squished square"
15 terms
Geometry: Holt Chapter 6
Triangular Prism
Rectangular Prism
Pentagonal Prism
Diagonal of a Right Rectangular Prism
Triangular Prism
Rectangular Prism
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…
13 terms
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
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