always sometimes never

always sometimes

sometimes sometimes

always sometimes

sometimes

Given

because

yes

always sometimes never

always sometimes

sometimes sometimes

always sometimes

sometimes

Given

because

yes

no yes yes

no yes no

no yes yes

yes no no

no no no

yes

yes yes yes

yes

proof

Sex is like math.

Subtract the clothes.

Divide the legs.

Add the moaning.

Hope you don’t multiply.

Angle 1 is a right angle

Angle 1 is an obtuse angle

Angle 1 is an acute angle

The triangle is isosceles

No triangle is possible

Two equilateral triangles

Two right triangles

Two isosceles triangles

Two scalene triangles

Two squares

Two rectangles

Two rhombuses

Two isosceles trapezoids

Two regular hexagons

Two regular polygons

A right triangle and an acute triangle

An isosceles triangle and a scalene triangle

A right triangle and a scalene triangle

An equilateral triangle and an equiangular triangle

Five more than a number

One less than twice a number

Seven more than half a number

One more than the square of a number

Ten less than a number

The difference between a number and six

The sum of a number and its reciprocal

The square of one more than a number

Circles are involved

Graphing is involved

Finding area, splitting the shape, adding

Solve 4 problems with order of operations

Something

Blah

Yadda yadda

Chan is older than Pedro

Pedro is older than Sarah

Valerie is older than Greg

Dan is older than Greg

Polygon G has more than 6 sides

Polygon K has more than 6 sides

There are three sisters

Two of them are athletes

And two of them like tacos

Can you be sure that both

Of the athletes like tacos?

At least one of the athletic sisters like tacos

OA, OB, and OD are radii

BD is a diameter

BC is a chord

BC is a secant

AT is a tangent

AT is a tangent segment

If today is Tuesday, then tomorrow is Wednesday

Today is Tuesday

Therefore, tomorrow is Wednesday.

If a figure is a triangle, then it is a polygon

This figure is not a polygon.

Therefore, this figure is not a triangle

It is Tuesday and it is April

Therefore, it is Tuesday

It is a square or it is a triangle

It is not a square

Therefore, it is a triangle

A regular octagon with side 4 and apothem a

A regular pentagon with side s and apothem 3

A regular decagon with side s and apothem a

A triangle with base 5.2 m and corresponding height 11.5m

A triangle with sides 3, 4, and 5

A parallelogram with base 3 radical 2 and corresponding height 2 radical 2

A rhombus with diagonals 4 and 6

An equilateral triangle with sides 8 ft

An isosceles triangle with sides 10, 10, and 16

An isosceles triangle with base 10 and perimeter 36

An isosceles right triangle with hypotenuse 8

An equilateral triangle with perimeter 18

A parallelogram with a 45 degree angle and sides 6 cm

A 30 degree-60 degree-90 degree triangle with hypotenuse 10

An equilateral triangle with height 9

A rhombus with perimeter 68 and one diagonal 30

A regular hexagon with perimeter 60

A square inscribed in a circle with radius r

A rectangle with length 16 inscribed in a circle with radius 10

Construct a tangent at A

Construct two tangents from P

Construct the circumscribed circle

Construct a large right triangle

Construct the circumscribed circle

Draw a large obtuse triangle

Construct the circumscribed circle

Draw a large acute triangle

3 surfaces?

1 surface?

2 surfaces?

0 surfaces?

If p, then q

p implies q

p only if q

q if p

If p, then q

If not p, then not q

if not q, then not p

q if p