Building Blocks
This figure has 1 endpoint and 1 arrow. it goes indefinitely in one direction.
what is a ray?
the letter p represents FLOWERS ARE BLOOMING,
the letter q represents IT IS SPRING
What is the conditional statement?
if FLOWERS ARE BLOOMING, then IT IS SPRING
there is no object with fewer sides than this
What is a triangle
a2 + b2 = ?
c2
DISTANCE FORMULA
d = the square root of √---------
(x2 -x1)2 + (y2 -y1)2
a set location with no dimensions
point
the letter p represents FLOWERS ARE BLOOMING,
the letter q represents IT IS SPRING.
What is the inverse of if p then q? (~p -> ~q)
if flowers are not blooming then it is not spring.
2+ (4+ 7) = (2+4) + 7
name the property utilized here
Grouping
what is the Pythagorean theorem?
a squared plus b squared = c squared
PYTHAGOREAN THEOREM or A2 + B2 =C2
this goes on indefinitely in 2 directions. it has 1 dimension
LINE
IF P THEN Q
If an object is a triangle then its angles add up to 180 degrees.
What is the type and symbols for this statement: If its angles do not add up to 180 degrees then it is not a triangle.
Contrapositive and ~q -> ~p
if AB and CD have any symbols on them, they cannot be said to be equal but can only be ?
What is CONGRUENT
The Pythagorean theorem only works on what type of triangle?
Right triangle
WHEN IS IT BEST TO USE THE DISTANCE FORMULA?
When you are given 2 coordinates or 2 points
THIS IS PART OF A LINE, IT HAS 2 ENDPOINTS AND NO ARROWS
WHAT IS A SEGMENT
if p then q changes to q -> p
what is converse
what are the dimensions of ANY 30-60-90 special triangle?
1a, (square root of 3)a and 2a
small leg, middle size leg, hypotenuse
what does squaring mean?
something times itself
d= √-------- of [(x2 -x1)2 + (y2 -y1)2]
d= √-------- [ (y2 -y1)2 + (x2 -x1)2 ]
What property was used here?
Commutative
this form has 2 dimensions and is infinite
PLANE
AB is congruent or equal to CD?
=
What property was used here: (or reverse property)
2x+ 6x2=40
2x(1+3x)= 40
distributive
what do we call a triangle with sides of 15, 20 and 25 units? (inches, meters, watever)
a 3-4-5 triangle
What is the distance between (0,0) and (3, 5)
√(3 - 0)2 + (5 - 0)2 =
√(32 + 52) =
√(9 + 25) = √34