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Right triangle ratio sets (AKA Pythago…

Isosceles triangle

Sides of a 45, 45, 90 right triangle (…

Sides of a 30,60,90 right triangle

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles Triangle ... Two equal sides ... Two equal angles

x, x, x√2... Has a right angle ( (90°), and also two equal angles

x, x√3, 2x

Right triangle ratio sets (AKA Pythago…

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles triangle

Isosceles Triangle ... Two equal sides ... Two equal angles

Right triangle ratio sets

Sides of a 45, 45, 90 right triangle

Sides of a 30,60,90 right triangle

Pythagorean Theorem- right triangle

3:4:5, 5:12:13

x, x, x with square root of 2

x, x with the square root of 3, 2x

a2 + b2 = c2

Right triangle ratio sets

3:4:5, 5:12:13

Sides of a 45, 45, 90 right triangle

x, x, x with square root of 2

what is the formula for the AREA of an…

what is the side length formula for a…

what are the proportions of a 30-60-90…

what are the proportions of a 45-45-90…

1/2 base * height (perpendicular)

30: x... 60: x√3... 90: 2x

45: x... 45: x... 90: x√2

what is the formula for the AREA of an…

1/2 base * height (perpendicular)

what is the side length formula for a…

Diameter

3 Things to Remember

Pythagorean Theorem

Straight Line

Must be indicated but it is the length of one side of the cir…

1.) If they don't tell you, don't assume... 2.) If they give you…

A^2 + B^2= C^2

Shortest distance between 2 points. As an angle it is 180 deg…

Diameter

Must be indicated but it is the length of one side of the cir…

3 Things to Remember

1.) If they don't tell you, don't assume... 2.) If they give you…

Triangle Inequality Theorem

Three Pythagorean triplets

Area of parallelogram

Sum of angles in shape with n sides

In triangle with sides x,y,z, y - z < x < y + z

3-4-5, 5-12-13, 7-24-25

b*h where b is perpendicular to h

(n - 2)*180

Triangle Inequality Theorem

In triangle with sides x,y,z, y - z < x < y + z

Three Pythagorean triplets

3-4-5, 5-12-13, 7-24-25

Line

Ray

Line Segment

Angles

Passes through two points and goes on forever in both directi…

Starts at one point and goes on forever

Starts at one point and ends at another

Measured in degrees and formed by the intersection of 2 lines

Line

Passes through two points and goes on forever in both directi…

Ray

Starts at one point and goes on forever

Sum of the interior angles of a polygo…

Area of a square

Area of a rectangle

Area of a trapezoid

(n-2) x 180 = Sum of Interior Angles of a Polygon ... n = numbe…

side x side = side^2

length x width

( (base1 + base2) x height ) / 2

Sum of the interior angles of a polygo…

(n-2) x 180 = Sum of Interior Angles of a Polygon ... n = numbe…

Area of a square

side x side = side^2

Line

Ray

Line Segment

Angles

Passes through two points and goes on forever in both directi…

Starts at one point and goes on forever

Starts at one point and ends at another

Measured in degrees and formed by the intersection of 2 lines

Line

Passes through two points and goes on forever in both directi…

Ray

Starts at one point and goes on forever

Right triangle ratio sets (AKA Pythago…

Isosceles triangle

Sides of a 45, 45, 90 right triangle (…

Sides of a 30,60,90 right triangle

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles Triangle ... Two equal sides ... Two equal angles

x, x, x√2... Has a right angle ( (90°), and also two equal angles

x, x√3, 2x

Right triangle ratio sets (AKA Pythago…

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles triangle

Isosceles Triangle ... Two equal sides ... Two equal angles

Parallelogram

Sum of interior angles of a parallelog…

Rectangle

Rhombus

Opposite sides and opposite angles equal

180*(n-2) where n is the number of sides

All angles 90 degrees, opposite sides equal

Opposite angles equal, all sides equal

Parallelogram

Opposite sides and opposite angles equal

Sum of interior angles of a parallelog…

180*(n-2) where n is the number of sides

Polygon

Angle

Ray

Acute Angle

A two-dimensional, closed shape made of line segments. For ex…

A figure formed by two lines sharing a common endpoint.

A straight line extending from a point.

An angle less than 90° and greater than 0°... /_

Polygon

A two-dimensional, closed shape made of line segments. For ex…

Angle

A figure formed by two lines sharing a common endpoint.

Area

Radius

Radius line segments are alike?

Diameter

Area= ~r2 (pi r squared)

The distance between the center of the circle and a point on…

All radii in the same circle have the same length

Two radio laid end to end so 2x the length of the radius or d…

Area

Area= ~r2 (pi r squared)

Radius

The distance between the center of the circle and a point on…

To convert one unit to another (ex: ch…

To convert one unit to another when Ar…

Look Big & Look Small

Wherever there are more than two trian…

Multiply the original unit by the unit conversion fraction (M…

Multiply the original unit by the unit conversion fraction, B…

Details of a relevant geometric relationship may be right nex…

especially if parallel lines of some kind are involved,

To convert one unit to another (ex: ch…

Multiply the original unit by the unit conversion fraction (M…

To convert one unit to another when Ar…

Multiply the original unit by the unit conversion fraction, B…

Lines

The sum of 2 angles on one side of a l…

parallel lines on a dimensional plane

Two perpendicular lines

straight lines that never alter direction

is always 180 degrees

will never intersect

are at 90 degrees to each other

Lines

straight lines that never alter direction

The sum of 2 angles on one side of a l…

is always 180 degrees

Line

Ray

Line Segment

Angles

Passes through two points and goes on forever in both directi…

Starts at one point and goes on forever

Starts at one point and ends at another

Measured in degrees and formed by the intersection of 2 lines

Line

Passes through two points and goes on forever in both directi…

Ray

Starts at one point and goes on forever

Intersecting Lines and Angles... If two…

Intersecting Lines and Angles... If two…

Triangles... The sum of the interior ang…

Triangles... For any and all triangles,... t…

vertical angles

equal

180°

greater

Intersecting Lines and Angles... If two…

vertical angles

Intersecting Lines and Angles... If two…

equal

Sum of interior angels of a polygon

Area of a trapezoid

Area of a Parallelogram

Surface Area of 3D figure

(n-2) x 180, where n is the number of a sides in a polygon

(Base₁ × Base₂) x Height... ---------------------... 2

Base x Height

the sum of the areas of each face of the figure

Sum of interior angels of a polygon

(n-2) x 180, where n is the number of a sides in a polygon

Area of a trapezoid

(Base₁ × Base₂) x Height... ---------------------... 2

How do we find the Arclength (Length o…

The arc measure is the same as...

The formula for a Circle's Circumferen…

72° is what % of the entire circle

setup this Part to Whole proportion

The central angle

2πr

20% or 1/5 of 360°

How do we find the Arclength (Length o…

setup this Part to Whole proportion

The arc measure is the same as...

The central angle

A rectangular flat sheet of metal is t…

There are 2 points on a graph (0,3) (6…

What is the greatest distance between…

If the area of triangular region RST i…

For this problem, the first important step is to recognize th…

Solution: B... Given two points, determine the equation for the…

For these three-dimensional, greatest-distance problems, *rec…

Solution: B... Leverage your assets. Statement 1 is not sufficie…

A rectangular flat sheet of metal is t…

For this problem, the first important step is to recognize th…

There are 2 points on a graph (0,3) (6…

Solution: B... Given two points, determine the equation for the…

trapezoid

parallelogram

(n-2) x 180

base x height / 2

one pair of opposite sides is parallel

opposite sides and opposite angles are equal

sum of interior angles of a polygon

area of a triangle

trapezoid

one pair of opposite sides is parallel

parallelogram

opposite sides and opposite angles are equal

Parallelogram property

Parallel Lines

Horizontal Lines have

Vertical Lines have

If Parallelogram has 1 rt angle, all of its angles are rt (90)

Have no intersection point

Zero slope

undefined slope

Parallelogram property

If Parallelogram has 1 rt angle, all of its angles are rt (90)

Parallel Lines

Have no intersection point

if the lengths of two sides of a trian…

area of a triangle

isosceles triangle

triangles with same angles but double…

the greater angle lies opposite the longer side

.5bh

two sides have equal length----because of this the two angles…

4 times bigger.

if the lengths of two sides of a trian…

the greater angle lies opposite the longer side

area of a triangle

.5bh

The largest angle is opposite

If two sides are equal, their opposite…

The sum of any two sides of a triangle…

Length of 1 side of a triangle must be…

The largest side

Equal

Greater

The difference between the lengths of the other 2 sides

The largest angle is opposite

The largest side

If two sides are equal, their opposite…

Equal

Parallelogram property

Parallel Lines

Horizontal Lines have

Vertical Lines have

If Parallelogram has 1 rt angle, all of its angles are rt (90)

Have no intersection point

Zero slope

undefined slope

Parallelogram property

If Parallelogram has 1 rt angle, all of its angles are rt (90)

Parallel Lines

Have no intersection point

How do we find the Arclength (Length o…

The arc measure is the same as...

The formula for a Circle's Circumferen…

72° is what % of the entire circle

setup this Part to Whole proportion

The central angle

2πr

20% or 1/5 of 360°

How do we find the Arclength (Length o…

setup this Part to Whole proportion

The arc measure is the same as...

The central angle

The sum of the interior angles of a po…

The area of a triangle is

The area of a trapezoid is

The area of a parallelogram is

(n-2) x 180

(base x height) / 2

(average of the two parallel sides) x height

base x height

The sum of the interior angles of a po…

(n-2) x 180

The area of a triangle is

(base x height) / 2

Area of a Square

Area of a Rectangle

Three types of triangles

Area of Triangle... What sides do we use

Side x Side

Length x Width

Right - 90 degree angle... Isosceles- Two sides that are equal i…

B x H / 2 ... Side 1 * side 2 not hypotenuse

Area of a Square

Side x Side

Area of a Rectangle

Length x Width

Right triangle ratio sets (AKA Pythago…

Isosceles triangle

Sides of a 45, 45, 90 right triangle (…

Sides of a 30,60,90 right triangle

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles Triangle ... Two equal sides ... Two equal angles

x, x, x√2... Has a right angle ( (90°), and also two equal angles

x, x√3, 2x

Right triangle ratio sets (AKA Pythago…

3:4:5, 5:12:13, 6:8:10, 7:24:25, 8:15:17, 9:40:41

Isosceles triangle

Isosceles Triangle ... Two equal sides ... Two equal angles

convex polygon

(f) perimeter of a polygon

(f) sum of polygon interior angles

name of the side of a triangle opposit…

A polygon with interior angles that measure less than 180 deg…

sum of the lengths of its sides

(n-2)180... n = the number of sides of the polygon

hypotenuse

convex polygon

A polygon with interior angles that measure less than 180 deg…

(f) perimeter of a polygon

sum of the lengths of its sides

parallelogram

rectangle

square

trapezoid

opposite sides and opposite angles are equal

all angles are 90 degrees opposite sides are equal

all sides are equal and all angles are 90 degrees

one pair of opposite sides is parallel. in this case, the top…

parallelogram

opposite sides and opposite angles are equal

rectangle

all angles are 90 degrees opposite sides are equal

Polygon

Angle

Ray

Acute Angle

A two-dimensional, closed shape made of line segments. For ex…

A figure formed by two lines sharing a common endpoint.

A straight line extending from a point.

An angle less than 90° and greater than 0°... /_

Polygon

A two-dimensional, closed shape made of line segments. For ex…

Angle

A figure formed by two lines sharing a common endpoint.

Integer

Composite Number

Angle

Right Angle

A whole number, not a fraction. A thing completes in itself.

A number that can be divided evenly by a number other than 1…

(Geometry) Intersection of 2 lines measured in degrees. Angle…

90 degree angle.

Integer

A whole number, not a fraction. A thing completes in itself.

Composite Number

A number that can be divided evenly by a number other than 1…

A right triangle inscribed in a circle…

if two angles inscribed in a circle sh…

30-60-90 triangle proportions

45-45-90 triangle proportions

A right triangle inscribed in a circle will have a diameter o…

then the two angles are the same measure

x (short side)... x*sqrt(3) (long side)... 2x (hypo)

x = leg... x = leg... x*sqrt(2) = hypotenuse

A right triangle inscribed in a circle…

A right triangle inscribed in a circle will have a diameter o…

if two angles inscribed in a circle sh…

then the two angles are the same measure

lines

line segment

end points

vertical angles

straight line that extends in both directions

part of a line between two end points

the beginning end ending of a line segment

if two lines intersect, the opposite angles are called vertic…

lines

straight line that extends in both directions

line segment

part of a line between two end points