Definitions
Conditional Probability
Proofs
Review
100
What is a parallelogram?
A quadrilateral with two pairs of parallel sides
100
What is the conditional probability of rolling a six sided die and it landing on 3 given you know your roll was less than or equal to 4.
25% or
1/4
100
A rhombus can be divided into two equal what?
triangles
100
Name one special right triangle
-30 60 90 right triangle
-45 45 90 right triangle
200
What is an equilateral triangle?
A triangle with three equal sides
200
What is the probability of selecting a student on a team sport?
P(on team sport)=
818/2131=0.38=38%
200
Name 2 different angle pair relationships
-vertical angles
-alternate interior angles
-same side interior angles
-corresponding angles
200
What is the special ratio for a 45-45-90 right triangle?
1:1:\sqrt2
300
Name two facts about isosceles triangles
1. Two congruent sides
2. Base angles are congruent
300
In a cooking class, 45% of the students are male. When the class was over, 75% of the males and 85% of the females received a certificate of completion.
What is the percent of the people that received a certificate given they were female?
85%
300
If a parallelogram is a rectangle, then the diagonals are congruent.
What congruence theorem would you use to prove the theorem?
triangle ABC cong triangle DCB
by SAS
300
What is the special ratio for 30 60 90 right triangle
1:\sqrt3:2
400
What does it mean for two events to be independent? (Formal definition)
P(A|B)=P(A)
400
Out of the people that did not choose hamburgers, what is the probability that they are sophomores?
P(Sophomores given not hamburgers) =
50/92 = 0.54
400
What reason should go with step 5?
Step 5:
triangle RSU cong triangle TUS
by ASA
400
Name 2 different pythagorean triples
3,4,5
5,12,13
7,24,25
8,15,17
9,40,41
11,60,61
500
What does it mean for events to be associated? (Formal definition)
P(A|B)!=P(A)
500
40%
500
Name 2 different properties of Parallelograms
- two pairs of parallel sides
-opposite angles are congruent
-opposite sides are congruent
500
What is the pythagorean identity?
(Sin^2theta)+(Cos^2theta)=1