Similar Triangles & Trig
Are the following triangles similar? if so, state the reason and the scale factor: Triangle ABC is a right triangle: it's legs are 6cm and 8 cm. Triangle DEF is a right triangle: It's legs are 18cm and 24cm.
What is Yes. By SAS, since the right angle is between the two legs and the legs of the triangles have a scale factor of 3.
Solve the following equation by using any method: k2 - 31 -2k = -6 -3k2 -2k
What is k = 5/2 and k = -5/2
Which of the following is NOT a way to prove triangles congruent: *NOTE* it is okay to have more than one choice for your answer. SSS SSA AA SAS AAS HL
What is SSA and AA.
Convert the following equation between rational and radical form: (3x)2/4
What is The fourth root of 3x2
Assume the population of a school is 1000. If a student is randomly selected, the chance that this randomly selected student is male is .47. what is the number of females enrolled in this school?
What is 530 females
What are the only three theorems we can use to argue two triangles being similar?
What is AA, SSS, SAS
Write y = x2 – 6x + 10 in vertex form
y = (x-3)2 +1
A square with points A (-3,3), B (-3,6), C (-6,3), D (-6,6) is reflected across the x-axis. What are the points of the image of this square?
What is A'(-3,-3) B'(-3,-6) C'(-6,-3) D'(-6,-6)
MS. ELKINS TRIVIA:
NAME ONE SPORT MS. ELKINS PLAYED IN SCHOOL
True or false: In probability, "and" means add and "or" means multiply.
What is False! It's the other way around!
MS. ELKINS TRIVIA!!!!!
What is Ms. Elkins' first name?
It must be spelled correctly!
Bayley
MS. ELKNS TRIVIA:
WHERE DID MS. ELKINS GO TO COLLEGE?????
WCU
Separate the following angle relationship pairs into two categories: Those which are congruent, and those which are supplementary.
Corresponding, Alternate exterior, Vertical, Same side interior, Same side exterior, Alternate interior, Linear pair
Congruent: Corresponding, alternate exterior, vertical, alternate interior
Supplementary: Same side interior, same side exterior, linear pair
The graph of f(x) = 2x2 – 3x + 5 will be translated 8 units down, producing the graph of q(x). What would the equation of q(x) be?
(x) = 2x2-3x-3
A cube number 1-6 is rolled three times. What are the chances that the cube lands on 2 all three times?
What is .004, less than one percent chance!
A ladder is leaning up against the wall of a building. The angle where the ladder meets the ground is 30 degrees. If we know the bottom of the ladder is 15 feet from the wall, what is the length of the ladder? *HINT* - use trig identities and draw a picture
30 feet
The flight of a rocket launched in the air can be modeled by the function f(t) = 2t2 -7t -3 where t is time in seconds and f(t) is height (in feet) of the rocket. How many seconds will it take for the rocket to return to the ground?
What is 3.89 seconds
A triangle with vertices (2,-2), (-5,3) and (3,6) will be rotated 90 degrees clockwise around the origin and then reflected across the y-axis. What will the new points of the triangle be?
(2,-2) , (-3,5) , (-6,-3)
Describe the intervals of increasing and intervals of decreasing for the function -x2 + 10
What is increasing from (-infinity to 10) decreasing from (10 to infinity)
Suppose you are renting a car. The chance that the car selected for you is a sedan is .48. The chance that this car is red is .30. The chance that your car is both a sedan and red is .12. If you are told ahead of time that your car is a sedan, what is the chance that you also get a red car? *HINT* probability of a given b.
.12/.48 = .25
A building that is 54 feet high casts a shadow that is 72 feet long. What is the angle where the shadow meets the ground? *HINT*- use trig identities and draw a picture.
What is arcsin(54/72) = 60 degrees
Solve the following equation and identify all possible solutions: 8x2 -4x + 5 = 0
What is 1 + - 3i / 4
MS. ELKINS TRIVIA:
WHERE DID MS. ELKINS GO TO HIGH SCHOOL???
Mountain Heritage High School
For which values of x is the following function increasing:
4x2-6x+1
[.75, infinity)
Neely is worried about her upcoming exams. She predicts that there is a 95 percent chance she will pass her Math 2 exam, and a 70 percent chance she will pass her World History Exam. 1. What is the probability Neely passes both her exams? 2. What is the probability Neely passes at least one of her exams?
What is 1. .665 2. .985