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Geometric Mean

Trigonometric Ratios

Inverse Trigonometric Ratios

Area of Triangle

Two positive numbers a and b is the positive number x that sa…

If sin A = x, then sin-1 x = measure of angle A

Geometric Mean

Two positive numbers a and b is the positive number x that sa…

Trigonometric Ratios

Skew Lines

Transversal

Corresponding Angles

Alternate Interior Angles

Lines that do not intersect and are not coplanar

A line that intersects at least two other lines

Matching positions when a transversal crosses at least two li…

Angles inside the lines and on opposite sides of the transver…

Skew Lines

Lines that do not intersect and are not coplanar

Transversal

A line that intersects at least two other lines

Construct

Classifying Triangles

Acute Triangle

Right Triangle

A tangent from a point outside a given circle to the circle

All equilateral triangles are isosceles

Three angles, each less than 90 degrees

One angle equals 90 segrees

Construct

A tangent from a point outside a given circle to the circle

Classifying Triangles

All equilateral triangles are isosceles

Lines and Circles

Secant

Tangent

Central Angle

Secant - a line that intersects a circle in two points... Tangen…

If two lines intersect in the interior of a circle, then the…

A line is tangent to a circle if and only if the line is perp…

An angle whose vertex is the center of the circle

Lines and Circles

Secant - a line that intersects a circle in two points... Tangen…

Secant

If two lines intersect in the interior of a circle, then the…

Point

Line

Plane

Line Segment

Has no dimension; It is a location on a plane.It is represent…

Has one dimension; It is an infinite set of points represente…

Has two dimensions extending without end; It is often represe…

Consists of two endpoints and all the points between them

Point

Has no dimension; It is a location on a plane.It is represent…

Line

Has one dimension; It is an infinite set of points represente…

Linear Pair Angles

Linear Pair Theorem

Vertical Angle Theorem

Supplementary Angles

Adjacent angles whose non adjacent sides are opposite rays.

Linear pair angles are supplementary

If two angles are Vertical then they are Congruent

Two angles whose measures have the sum of 180 degrees.

Linear Pair Angles

Adjacent angles whose non adjacent sides are opposite rays.

Linear Pair Theorem

Linear pair angles are supplementary

plane

Opposite rays

plane

line

Is represented by a flat surface that extends without end and…

Two rays that share the same endpoint and form a line

Is represented by a flat surface that extends without end and…

Is represented by a straight path that extends in two opposit…

plane

Is represented by a flat surface that extends without end and…

Opposite rays

Two rays that share the same endpoint and form a line

Line of Symmetry and Line of Reflection

Magnitude of Rotation

Rotation

Magnitude

The line l is known as the ____________________.

A square has rotational symmetry of order 4. This means that…

The transformation that occurs when lines m and n are interse…

Translations can be accomplished by using a vector. Vectors a…

Line of Symmetry and Line of Reflection

The line l is known as the ____________________.

Magnitude of Rotation

A square has rotational symmetry of order 4. This means that…

Trapezoid

Exterior Angles

Interior Angles

Alternate Interior Angles

A quadrilateral with a pair of opposite sides parallel is cal…

The angles 1 and 8 are _________________________

The angles 2 and 6 are

The angles 2 and 5 are

Trapezoid

A quadrilateral with a pair of opposite sides parallel is cal…

Exterior Angles

The angles 1 and 8 are _________________________

Parallel lines

Skew lines

Parallel planes

Transversal

Two lines are parallel lines if they do not intersect and are…

Two lines are skew lines if they do not intersect and are not…

Two planes that do not intersect are parallel planes.

A transversal is a line that intersects two or more coplanar…

Parallel lines

Two lines are parallel lines if they do not intersect and are…

Skew lines

Two lines are skew lines if they do not intersect and are not…

parallel lines

transversal

vertical angles

alternate interior angles

lines in the same plane that never intersect

a line that intersects two or more lines

A pair of opposite congruent angles formed by intersecting li…

A pair of angles within parallel lines and on opposite sides…

parallel lines

lines in the same plane that never intersect

transversal

a line that intersects two or more lines

point

line

segment

ray

A point in geometry is a location.

A line is a straight one-dimensional figure having no thickne…

The part of a line that connects two points. It has definite…

A line with a start point but no end point (it goes to infini…

point

A point in geometry is a location.

line

A line is a straight one-dimensional figure having no thickne…

Line

Point

Collinear Points

Noncollinear Points

This has length but no width or depth and goes on forever in…

This has no length, width, or depth.

These are points that lie on the same line.

Points that do not lie on the same line.

Line

This has length but no width or depth and goes on forever in…

Point

This has no length, width, or depth.

If-then Statement

Inverse

Complementary Angles

Circumcenter

The statement, If an angle is acute, then it has a measure be…

Consider this statement: If today is Monday, then my dad has…

Two angles with measures that have a sum of 90 are__________.

The point of concurrency of the perpendicular bisectors of a…

If-then Statement

The statement, If an angle is acute, then it has a measure be…

Inverse

Consider this statement: If today is Monday, then my dad has…

If-then Statement

Inverse

Complementary Angles

Circumcenter

The statement, If an angle is acute, then it has a measure be…

Consider this statement: If today is Monday, then my dad has…

Two angles with measures that have a sum of 90 are__________.

The point of concurrency of the perpendicular bisectors of a…

If-then Statement

The statement, If an angle is acute, then it has a measure be…

Inverse

Consider this statement: If today is Monday, then my dad has…

point

line

line segment

ray

an exact location in space

an endless collection of points along a straight path

part of a line that has two endpoints

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

point

an exact location in space

line

an endless collection of points along a straight path

Distance Formula

Complementary Angles

Perpendicular

Supplementary Angles

Formula based on the Pythagorean Theorem

Two angles whose measures sum to 90.

When two lines, segments or rays intersect at a right angle

Two angles whose measure sums to 180

Distance Formula

Formula based on the Pythagorean Theorem

Complementary Angles

Two angles whose measures sum to 90.

Distance Formula

perpendicular

complementary angles

rotation

Formula based on Pythagorean Theorem

Two lines that intersect at right angles

Two angles whose measures sum to 90

A transformation that turns a figure about a fixed point

Distance Formula

Formula based on Pythagorean Theorem

perpendicular

Two lines that intersect at right angles

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimens…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.…

Two dimensional shape with four sides and one pair of paralle…

Area

Area is the number of square units enclosed by the two dimens…

Perimeter

Perimeter is the distance around the outside of a 2D shape.

Auxiliary Figure

Scalene Triangle

Isosceles Triangle

Equilateral Triangle

a point, segment, ray, or line added to a figure to help with…

a triangle with no equal sides

a triangle with at least 2 equal sides

a triangle in which all 3 sides are equal

Auxiliary Figure

a point, segment, ray, or line added to a figure to help with…

Scalene Triangle

a triangle with no equal sides

Plane

Adjacent Angle

Complementary Angles

Postulate

A flat surface extending in all directions

Two angles in a plane which share a common vertex and a commo…

Two acute angles that add up to 90°

A statement accepted as true without proof

Plane

A flat surface extending in all directions

Adjacent Angle

Two angles in a plane which share a common vertex and a commo…

Point

Line

Plane

Collinear

A point names a location and has no size. It is represented b…

A line is a straight path that has no thickness and extends f…

A plane is a flat surface that has no thickness and extends f…

Points that lie on the same line.

Point

A point names a location and has no size. It is represented b…

Line

A line is a straight path that has no thickness and extends f…

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimens…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.…

Two dimensional shape with four sides and one pair of paralle…

Area

Area is the number of square units enclosed by the two dimens…

Perimeter

Perimeter is the distance around the outside of a 2D shape.

Betweeness of Points

Betweeness of Rays

Acute Angle

Obtuse Angle

A point is between 2 other points on a number line iff it's c…

A ray is between 2 other rays iff its coordinate is between t…

An angle with a measure greater than 0 and less than 90

An angle with a measure greater than 90 and less than 180

Betweeness of Points

A point is between 2 other points on a number line iff it's c…

Betweeness of Rays

A ray is between 2 other rays iff its coordinate is between t…

Definition of Congruence... (Def. Con)

Addition Property of Equality ... (APOE)

Subtraction Property of Equality ... (SPOE)

Multiplication Property of Equality ... (…

~Two figures are congruent iff they are equal in measure... -Rea…

If a = b, then a + c = b + c... Adding the same number to each s…

If a = b, then a - c = b - c... -Subtracting the same number to…

if a=b, then ca=cb... -multiplying both sides of an equation by…

Definition of Congruence... (Def. Con)

~Two figures are congruent iff they are equal in measure... -Rea…

Addition Property of Equality ... (APOE)

If a = b, then a + c = b + c... Adding the same number to each s…

Conjecture

Inductive Reasoning

Counterexample

Point

A guess based on observations (Hypothesis)

Looking at patterns and making observations

A case that shows a statement is false

An exact location in space... *A

Conjecture

A guess based on observations (Hypothesis)

Inductive Reasoning

Looking at patterns and making observations

Point

Endpoints

Line

Plane

a point refers usually to an element of some set called a spa…

The endpoints of a line segment are just the 'points' located…

A line is a straight one-dimensional figure having no thickne…

A plane is the two-dimensional analogue of a point, a line an…

Point

a point refers usually to an element of some set called a spa…

Endpoints

The endpoints of a line segment are just the 'points' located…

Addition postulate

subtraction postulate

division postulate

reflexive postulate

if equals are added to equals, their sums are equal

if equals are subtracted from equals, their sums are equal

halves are equal are equal

a=a

Addition postulate

if equals are added to equals, their sums are equal

subtraction postulate

if equals are subtracted from equals, their sums are equal

216.75 square inches

1168 ¾ cubic feet

269.6 square centimeters

15 ½ feet

In baseball, home plate is an irregular pentagon. What is the…

The floor of Catelyn's bedroom is 137 ½ square feet. The wall…

The diagram shows the net of a juice box. The box is a rectan…

A contractor digs a rectangular hole that is 40 feet long and…

216.75 square inches

In baseball, home plate is an irregular pentagon. What is the…

1168 ¾ cubic feet

The floor of Catelyn's bedroom is 137 ½ square feet. The wall…

perimeter

area

circumference

sector

The distance around a figure

The number of square units needed to cover a given surface

The distance around a circle

the portion of a circle bounded by two radii and one of the i…

perimeter

The distance around a figure

area

The number of square units needed to cover a given surface

180 degrees

Right Triangle

Acute Triangle

Obtuse Triangle

The sum of the degrees in a triangle

A triangle that has one 90 degree angle

A triangle that has all angles less than 90 degrees

A triangle that has one angle greater than 90 degrees

180 degrees

The sum of the degrees in a triangle

Right Triangle

A triangle that has one 90 degree angle

Area

Perimeter

Area vs perimeter

Trapezoid

Area is the number of square units enclosed by the two dimens…

Perimeter is the distance around the outside of a 2D shape.

Area is the number of square units enclosed by the 2D shape.…

Two dimensional shape with four sides and one pair of paralle…

Area

Area is the number of square units enclosed by the two dimens…

Perimeter

Perimeter is the distance around the outside of a 2D shape.

acute triangle

isosceles triangle

quadrilateral

triangle

A triangle that has only acute angles.

A triangle with two or more congruent sides.

A polygon with four sides.

A polygon with three sides.

acute triangle

A triangle that has only acute angles.

isosceles triangle

A triangle with two or more congruent sides.

endpoint

vertex

ray

degree

The point at either end of a line segment; also, the point at…

The point at which the rays of an angle or two sides of a pol…

A straight line that extends infinitely from an endpoint.

A unit of measure for angles.

endpoint

The point at either end of a line segment; also, the point at…

vertex

The point at which the rays of an angle or two sides of a pol…

183

942

905

43

What is the approximate volume of the cone below?

What is the approximate volume of the cylinder below?

What is the approximate volume of a sphere with a diameter of…

Molly wants to put a fence around an area. The fence will fol…

183

What is the approximate volume of the cone below?

942

What is the approximate volume of the cylinder below?

circumference

diameter

radius

perimeter

distance around a circle

a line segment that passes through the center of a circle, wi…

a line segment from the center of the circle to the edge of t…

distance around a polygon

circumference

distance around a circle

diameter

a line segment that passes through the center of a circle, wi…

height

length

width

area

(noun) the vertical distance from top to bottom.

(noun) the distance along a line or curve.

(noun) the distance from one side of an object to another.

(noun) the amount of surface inside a 2-dimensional shape. Th…

height

(noun) the vertical distance from top to bottom.

length

(noun) the distance along a line or curve.