How can we help?

You can also find more resources in our Help Center.

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

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

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

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…

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…

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…

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

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…

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

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

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…

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°

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…

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

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

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

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…

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…

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.

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…

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…

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

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…

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…

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

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

360 / n OR 180 - interior

Find the exterior angle first (360 / n…

n = 360/x

Find the exterior angle first (360 / n…

How do you calculate the exterior angle of an n-sided regular…

How do you calculate the interior angle of an n-sided regular…

If a regular polygon has exterior angles of x, how do you fin…

How do you calculate the sum of the interior angles of an n-s…

360 / n OR 180 - interior

How do you calculate the exterior angle of an n-sided regular…

Find the exterior angle first (360 / n…

How do you calculate the interior angle of an n-sided regular…

Ray

Vertex

Protractor

Degrees

A part of a line that has one endpoint and extends forever in…

A point where two or more straight lines meet.... The point at w…

Tool used to measure angles

A unit for measuring angles

Ray

A part of a line that has one endpoint and extends forever in…

Vertex

A point where two or more straight lines meet.... The point at w…

acute angle

acute triangle

angle

complementary angles

An angle that measures greater than zero and less than 90 deg…

A triangle with 3 acute angles

2 rays with a common end point

Angles whose measures add up to 90 degrees; sum of their two…

acute angle

An angle that measures greater than zero and less than 90 deg…

acute triangle

A triangle with 3 acute angles

18

360

20

9

The interior angle of a regular polygon is 162. What is the e…

The interior angle of a regular polygon is 162. State the sum…

The interior angle of a regular polygon is 162. How many exte…

The interior angle of a regular polygon is 140. How many side…

18

The interior angle of a regular polygon is 162. What is the e…

360

The interior angle of a regular polygon is 162. State the sum…