Study sets matching "geometry angles polygons"

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Study sets matching "geometry angles polygons"

30 terms
Geometry : angles and polygons
An angle that measures greater than ze…
A triangle with 3 acute angles
2 rays with a common end point
Angles whose measures add up to 90 deg…
acute angle
acute triangle
angle
complementary angles
An angle that measures greater than ze…
acute angle
A triangle with 3 acute angles
acute triangle
10 terms
Geometry: Polygons & Angles
Polygon
Regular polygon
Irregular polygon
Convex polygon
a closed 2-D shape formed by at least 3 line segments that do…
polygon that has sides and angles that are congruent, or equal
polygon in which not all sides and angles are congruent
a polygon with all angles pointing outward
Polygon
a closed 2-D shape formed by at least 3 line segments that do…
Regular polygon
polygon that has sides and angles that are congruent, or equal
13 terms
Geometry: Polygons & Angles
Straight Angle
Acute Angle
Right Angle
Obtuse Angle
A 180 degree angle (line)
Between 0 degrees and 90 degrees
A 90 degree angle
between 90 degrees and 180 degrees
Straight Angle
A 180 degree angle (line)
Acute Angle
Between 0 degrees and 90 degrees
16 terms
Geometry (angles and polygons)
right angle
acute angle
obtuse angle
straight angle
an angle that makes a square corner; measures exactly 90 degr…
an angle that measures less than 90 degrees
an angle that measures greater than 90 degrees
an angle that is completely straight; measures exactly 180 de…
right angle
an angle that makes a square corner; measures exactly 90 degr…
acute angle
an angle that measures less than 90 degrees
6 terms
Geometry angles of polygons
Sum of the interior angles
Each interior (if regular)
Sum of the exterior angles
Each exterior (if regular)
180(n-2)
180(n-2)/n
Exterior angles • # of sides=360
360/n
Sum of the interior angles
180(n-2)
Each interior (if regular)
180(n-2)/n
12 terms
Geometry B Angles of Polygons
3 sides
4 sides
5 sides
6 sides
Triangle (int=180)
Quadrilateral (int=360)
Pentagon (int=540)
Hexagon (int=720)
3 sides
Triangle (int=180)
4 sides
Quadrilateral (int=360)
Geometry Angles of Polygons
Sum of interior angle measures (formul…
Number of sides in a polygon; measure…
Measure of an interior angle of a regu…
Find the sum of the measures of the in…
(n-2) x 180
(measure) x n = (n-2) x 180
n = 12
1,440
Sum of interior angle measures (formul…
(n-2) x 180
Number of sides in a polygon; measure…
(measure) x n = (n-2) x 180
Geometry:angles and polygons
angle
parallel lines
perpendicular lines
quadrilateral
Two rays with a common endpoint
Lines that are the same distance apart.Parallel lines do not…
Lines that meet or cross each other to form right angles
A shape that has 4 sides and 4 angels
angle
Two rays with a common endpoint
parallel lines
Lines that are the same distance apart.Parallel lines do not…
Geometry Angles of Polygons
triangle has how many sides
number of triangles in a triangle
sum of interior angles
quadrilateral has how many sides
3
1
180 (180x1)
4
triangle has how many sides
3
number of triangles in a triangle
1
17 terms
geometry polygons and angles
acute angle
adjacent
complementary
linear pair (angles)
less than 90 degrees
two coplanar angles with a common side, vertex, and no common…
2 angles whose sum is 90 degrees
angles that are supplementary and adjacent
acute angle
less than 90 degrees
adjacent
two coplanar angles with a common side, vertex, and no common…
20 terms
Geometry Angles and polygons
transversal
alternate interior angles
same side interior angles
corresponding angles
line that intersects 2 coplanar lines at 2 points
non adjacent angles that lie on opposite sides of the transve…
angles that lie on the same side of the transversal between 2…
angle that lie on same on same side of transversal in corresp…
transversal
line that intersects 2 coplanar lines at 2 points
alternate interior angles
non adjacent angles that lie on opposite sides of the transve…
Geometry int angles polygons
Triangle
Quadrilateral
Pentagon
Hexagon
3 sides; 180 degrees
4 sides; 360 degrees
5 sides; 540 degrees
6 sides; 720 degrees
Triangle
3 sides; 180 degrees
Quadrilateral
4 sides; 360 degrees
11 terms
Geometry polygons by angles
3
4
5
6
triangle
quadrilateral
pentagon
hexagon
3
triangle
4
quadrilateral
10 terms
Geometry: Interior Angles of Polygons
Triangle
Quadrilateral
Pentagon
Hexagon
Sum of interior angles: 180
Sum of interior angles: 360
Sum of interior angles: 540
Sum of interior angles: 720
Triangle
Sum of interior angles: 180
Quadrilateral
Sum of interior angles: 360
8 terms
Geometry: Interior Angles of Polygons
formula
triangle
quadrilateral
pentagon
180(n-2)
180
360
540
formula
180(n-2)
triangle
180
Geometry polygon angles
Polygon Angle Sum Theorem
Polygon Exterior Angle Sum Theorem
Sum of Interior Angle Measure
Exterior Angle Sum Theorem
(n-2)180 sum of interior angles N=# of sides
Exterior Angle= 360/n Example: EA= 360/5=72 ... IA= 180-72=108
(n-2)180
angle= 360/n
Polygon Angle Sum Theorem
(n-2)180 sum of interior angles N=# of sides
Polygon Exterior Angle Sum Theorem
Exterior Angle= 360/n Example: EA= 360/5=72 ... IA= 180-72=108
Geometry Regular Polygon Angles
number of sides (n)
number of diagonals
sum of interior angles (Si)
sum of exterior angles (Se)
360/E
n(n-3)/ 2
(n-2)180
360
number of sides (n)
360/E
number of diagonals
n(n-3)/ 2
11 terms
Geometry - Angle Sum for Polygons
What is the sum of of the interior ang…
Quadrilateral
Pentagon
Hexagon
180 degrees
4 sides, 4 angles, 2 triangles, 180 total degrees in a triang…
5 sides, 5 angles, 3 triangles, 180 total degrees in a triang…
6 sides, 6 angles, 4 triangles, 180 total degrees in a triang…
What is the sum of of the interior ang…
180 degrees
Quadrilateral
4 sides, 4 angles, 2 triangles, 180 total degrees in a triang…
Geometry: Angles and Polygons - word definitions
acute angle
acute triangle
angle
complementary angles
an angle that measures less than 90 degree
a triangle with all acute angles
a figure with two sides that share a common vertex
two angles that have a sum of 90 degrees
acute angle
an angle that measures less than 90 degree
acute triangle
a triangle with all acute angles
41 terms
Geometry: Angles, Polygons, Circles & Cylinders
Interior angles formed by intersecting…
Interior angles that combine to form a…
Vertical angles
Parallel lines cut by a transversal
circle, 360
180
angles found opposite each other where two lines intersect; t…
The GMAT frequently uses figures that include a parallel line…
Interior angles formed by intersecting…
circle, 360
Interior angles that combine to form a…
180
Geometry Chapter 8 Angles of Polygons
Diagonal
Polygon Interior Angles Theorem
Corollary Interior angles of a quadril…
Polygon exterior angles Theorem
Of a polygon is a segment that joins two non-adjacent vertices.
The sum of the measure of the interior angles of a convex pol…
The sum of the measures of the interior angles of a quadrilat…
The sum of the measures of the exterior angles of a convex po…
Diagonal
Of a polygon is a segment that joins two non-adjacent vertices.
Polygon Interior Angles Theorem
The sum of the measure of the interior angles of a convex pol…
Math - Geometry (Angles, Polygons, Quadrilaterals and Triangles)
isosceles
Acute Scalene Triangle
acute angle
obtuse angle
two congruent sides
less than 90 degrees
more than 90 degrees
isosceles
two congruent sides
Acute Scalene Triangle
Geometry Honors - Polygons and Their Angles
Number of Triangles
Sum of the Interior Angles
Measure of one interior angle (regular)
Sum of Exterior Angles
n-2
(n-2)180
((n-2)180)/n
360
Number of Triangles
n-2
Sum of the Interior Angles
(n-2)180
27 terms
Geometry angles, polygons, triangles, quadrilaterals
Angle
Acute angle
Right angle
Obtuse angle
Formed by two rays that share the same endpoint
An angle with a measure greater than o° and less than 90°
An angle that measures 90°
An angle with a measure greater than 90° and less than 180°
Angle
Formed by two rays that share the same endpoint
Acute angle
An angle with a measure greater than o° and less than 90°
11 terms
Angles & Polygons
concave polygon
convex polygon
exterior angle
interior angle
A polygon that has at least one interior angle with a measure…
A polygon with all interior angles measuring less than 180 de…
An angle at a vertex of a polygon where the side of the angle…
An angle inside a polygon formed by two adjacent sides of the…
concave polygon
A polygon that has at least one interior angle with a measure…
convex polygon
A polygon with all interior angles measuring less than 180 de…
Geometry: Polygons, Angles, Parallel, and Perpendicular
Polygon
Regular Polygon
Angles
Vertex
A shape formed by line segments, that has no intersecting sid…
Polygons whose whose side lengths are equal and interior angl…
Figures formed by two rays or line segments that have a commo…
The point where the two rays meet or intersect.
Polygon
A shape formed by line segments, that has no intersecting sid…
Regular Polygon
Polygons whose whose side lengths are equal and interior angl…
8 terms
Geometry Unit - Triangles, Polygons, and Angles
What is a polygon?
What is a triangle?
What is an obtuse triangle?
What is an acute triangle?
A closed figure with 3 sides or more
A 3 sided polygon
A 3 sided figure with one obtuse angle
A 3 sided figure with 3 acute angles
What is a polygon?
A closed figure with 3 sides or more
What is a triangle?
A 3 sided polygon
geometry angles of a polygon vocal
convex
regular polygon
quadrilateral
parallelogram
no line exists containing a side and also containing an inter…
all sides and angles are congruent
a 4 sided polygon
a quadrilateral with both pairs of opposite sides parallel
convex
no line exists containing a side and also containing an inter…
regular polygon
all sides and angles are congruent
13 terms
Geometry, Chapter 6, Section 6-1 Angles of Polygons
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…
5 terms
Geometry Angles in a Polygon Formulas
What does the formula for 1 exterior a…
What does the formula for 1 interior i…
What does the formula for the number o…
What does the formula for the sum of t…
360 <--- sum of exterior angles... ----... n <--- # of congruent ex…
(n-2)(180) <--- sum of interior angles... ----------... n <--- # o…
n(n-3) n= # of vertices you can draw from... ------ (n-3)= # of…
(n-2)(180) (n-2)= # of triangles you can draw... (180)= sum of…
What does the formula for 1 exterior a…
360 <--- sum of exterior angles... ----... n <--- # of congruent ex…
What does the formula for 1 interior i…
(n-2)(180) <--- sum of interior angles... ----------... n <--- # o…
12 terms
Geometry 8.1 Find Angle Measures in Polygons
Consecutive vertices
Diagonals
Polygon Interior Angles Theorem
Interior Angles of a Quadrilateral Cor…
two vertices that are endpoints of the same side in a polygon.
is a segment of a polygon that joins two nonconsecutive verti…
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a quadrilat…
Consecutive vertices
two vertices that are endpoints of the same side in a polygon.
Diagonals
is a segment of a polygon that joins two nonconsecutive verti…
30 terms
geometry vocabulary polygons, 3d figures, angles
circle
parallel
isosceles
triangle
Having the same size and shape, The set of all points in a pl…
lines that will never meet, no matter how long you stretch them
two sides and two angles that are congruent
a three-sided polygon
circle
Having the same size and shape, The set of all points in a pl…
parallel
lines that will never meet, no matter how long you stretch them
Geometry, Lesson 6.1: Angles of a Polygon
720
540
900
1080
The total number of degrees in a hexagon.
The total number of degrees in a pentagon.
The total number of degrees in a heptagon.
The total number of degrees in an octagon.
720
The total number of degrees in a hexagon.
540
The total number of degrees in a pentagon.
Geometry Polygon Quiz Angle Formulas
find number of diagonals from a vertex…
find number of triangles from number o…
find sum of interior angles from numbe…
find measure of one interior angle fro…
n-3
n-2
180*(n-2)
180*(n-2) divided by 360
find number of diagonals from a vertex…
n-3
find number of triangles from number o…
n-2
Math - Geometry (Angles, Polygons, Quadrilaterals and Triangles)
isosceles
Acute Scalene Triangle
acute angle
obtuse angle
two congruent sides
less than 90 degrees
more than 90 degrees
isosceles
two congruent sides
Acute Scalene Triangle
5 terms
Angles of Polygons
Triangle
Interior angle
Exterior angle inequality
Parallel lines
A polygon with three sides.
angles inside of a polygon
The measure of an exterior angle of a triangle is greater tha…
lines in the same plane that never intersect
Triangle
A polygon with three sides.
Interior angle
angles inside of a polygon
21 terms
Geometry Chapter 5: Angles of a Polygon
Polygon
Diagonal
Theorem 5.1
Convex
a closed geometric figure whose sides are line segments.
a segment that joins a pair of nonadjacent vertices of a poly…
If a polygon has N sides, then 1/2 N (N - 3) diagonals can be…
a polygon is convex is no diagonal contains points in the ext…
Polygon
a closed geometric figure whose sides are line segments.
Diagonal
a segment that joins a pair of nonadjacent vertices of a poly…
40 terms
Geometry Vocab - Points, Lines, Angles, & Polygons
Point
Line
Plane
Collinear
A location represented by a dot
An infinate set of points extending endlessly in both directi…
Set of points that form a flat surface that extends infinitel…
Points that are on the same line
Point
A location represented by a dot
Line
An infinate set of points extending endlessly in both directi…
15 terms
Geometry 6-1 Polygon Angle Sum / Polygons - Vocabulary
triangle
hexagon
quadrilateral
heptagon
a polygon with 3 sides
a polygon with 6 sides
a polygon with 4 sides
a polygon with 7 sides
triangle
a polygon with 3 sides
hexagon
a polygon with 6 sides
13 terms
Angles of Polygons
Interior Angle Sum Theorem
Triangle
Quadrilateral
Pentagon
If a convex polygon has n sides and S is the sum of the measu…
Three sided Polygon
Four sided polygon
Five sided polygon
Interior Angle Sum Theorem
If a convex polygon has n sides and S is the sum of the measu…
Triangle
Three sided Polygon
Polygons & angles
3 sides
4 sides
5 sides
6 sides
triangle
quadrilateral
pentagon
hexagon
3 sides
triangle
4 sides
quadrilateral
Geometry 8.1 Find Angle Measures in Polygons
Consecutive vertices
Diagonals
Polygon Interior Angles Theorem
Interior Angles of a Quadrilateral Cor…
two vertices that are endpoints of the same side in a polygon.
is a segment of a polygon that joins two nonconsecutive verti…
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a quadrilat…
Consecutive vertices
two vertices that are endpoints of the same side in a polygon.
Diagonals
is a segment of a polygon that joins two nonconsecutive verti…
Geometry Chpater 8 Angles Measures of Polygons
The sum of the measures of n angles of…
The number of triangles formed in a de…
The sum of the measures of the exterio…
The measures of one angle in a regular…
(n-2)180
8
360 degrees
135 degrees
The sum of the measures of n angles of…
(n-2)180
The number of triangles formed in a de…
8
Angles of Polygons
180°
180°
540°
108°
Find the angle sum.
When added together, the interior angle and exterior angle eq…
Find the angle sum.
What is the measure of each interior angle?
180°
Find the angle sum.
180°
When added together, the interior angle and exterior angle eq…
Polygons and Angles
polygon
side
vertex
convex
a closed plane figure created by three or more line segments
a segment that intersects two other sides
each endpoint of a side
no line of a side contains a point on the interior (inside) o…
polygon
a closed plane figure created by three or more line segments
side
a segment that intersects two other sides
19 terms
Polygons/Angles
Corresponding Angles
Alternate Interior
Same-side Interior
Alternate Interior
= to each other
= to each other
sum = to 180
= to each other
Corresponding Angles
= to each other
Alternate Interior
= to each other
12 terms
Angles of Polygons
180°
540°
108°
360°
Find the angle sum.
Find the angle sum of a pentagon
What is the measure of each interior angle?
The exterior angle sum of a polygon is ______.
180°
Find the angle sum.
540°
Find the angle sum of a pentagon
8 terms
Angles of polygons
exterior angles of a polygon
interior angles of a polygon
5 sided polygon
6 sided polygon
360 degrees ÷ number of sides
180 degrees - exterior angles
Pentagon
Hexagon
exterior angles of a polygon
360 degrees ÷ number of sides
interior angles of a polygon
180 degrees - exterior angles
16 terms
Angles of Polygons
the name of a three sided polygon
The name of a 4 sided polygon
the name of a 5 sided polygon
the name of a 6 sided polygon
triangle
quadrilateral
pentagon
hexagon
the name of a three sided polygon
triangle
The name of a 4 sided polygon
quadrilateral
Angles of Polygons
polygon
convex polygon
diagonal
regular polygon
many angles
a polygon where no line containing a side of the polygon cont…
a segment containing two nonconsecutive vertices
both equiangular and equialteral
polygon
many angles
convex polygon
a polygon where no line containing a side of the polygon cont…
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