# Study sets matching "geometry angles polygons"

An angle that measures greater than zer…

A triangle with 3 acute angles

2 rays with a common end point

Angles whose measures add up to 90 degr…

acute angle

acute triangle

angle

complementary angles

An angle that measures greater than zer…

acute angle

A triangle with 3 acute angles

acute triangle

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

Sum of interior angle measures (formula…

Number of sides in a polygon; measure o…

Measure of an interior angle of a regul…

Find the sum of the measures of the int…

(n-2) x 180

(measure) x n = (n-2) x 180

n = 12

1,440

Sum of interior angle measures (formula…

(n-2) x 180

Number of sides in a polygon; measure o…

(measure) x n = (n-2) x 180

Diagonal

Exterior angle

Interior angle

Regularity/ regular polygon

A line from any angle to another; without becoming a side.

The angle formed when any side of a polygon is extended. And a…

Any angle INSIDE a polygon.

Polygon with equal angles and equal sides.

Diagonal

A line from any angle to another; without becoming a side.

Exterior angle

The angle formed when any side of a polygon is extended. And a…

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 transver…

angles that lie on the same side of the transversal between 2…

angle that lie on same on same side of transversal in correspo…

transversal

line that intersects 2 coplanar lines at 2 points

alternate interior angles

non adjacent angles that lie on opposite sides of the transver…

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…

What is the sum of of the interior angl…

Quadrilateral

Pentagon

Hexagon

180 degrees

4 sides, 4 angles, 2 triangles, 180 total degrees in a triangl…

5 sides, 5 angles, 3 triangles, 180 total degrees in a triangl…

6 sides, 6 angles, 4 triangles, 180 total degrees in a triangl…

What is the sum of of the interior angl…

180 degrees

Quadrilateral

4 sides, 4 angles, 2 triangles, 180 total degrees in a triangl…

equilateral triangle

quadrilateral

pentagon

hexagon

polygon with 3 congruent sides

any polygon with 4 sides

a polygon with 5 sides

polygon with 6 sides

equilateral triangle

polygon with 3 congruent sides

quadrilateral

any polygon with 4 sides

Diagonal

Polygon Interior Angles Theorem

Corollary Interior angles of a quadrila…

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 poly…

The sum of the measures of the interior angles of a quadrilate…

The sum of the measures of the exterior angles of a convex pol…

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 poly…

Number of sides to measure of exterior…

Measure of exterior angle to number of…

Measure of exterior angle to measure of…

Measure of interior angle to measure of…

360/n

360/exterior angle

180-measure of exterior

180-measure of interior

Number of sides to measure of exterior…

360/n

Measure of exterior angle to number of…

360/exterior angle

Inscribed Angle:

Intercepted Arc:

Measure of an Inscribed Angle Theorem

Theorem

an angle whose vertex is on a circle and whose sides contain c…

the arc that lies in the interior of an inscribed angle and ha…

The measure of an inscribed angle is one half the measure of i…

If two inscribed angles of a circle intercept the same arc, th…

Inscribed Angle:

an angle whose vertex is on a circle and whose sides contain c…

Intercepted Arc:

the arc that lies in the interior of an inscribed angle and ha…

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 deg…

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 deg…

(n-2)180

1440°

108°

128.6°

formula to find the sum of the interior angles in a polygon

What is the sum of the interior angles of a decagon?

In a regular pentagon, what is the measure of one interior ang…

In a regular heptagon, what is the measure of one of the inter…

(n-2)180

formula to find the sum of the interior angles in a polygon

1440°

What is the sum of the interior angles of a decagon?

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