Circles
Transformations
Congruence/Similarity
Trig
Probability
100
What is the radius of this circle?
(y-2)2+(x+4)2=4
2
100
Kyle performs a transformation on a triangle. The resulting triangle is similar but not congruent to the original triangle.
Which transformation did Kyle perform on the triangle?
A) Rotation
B) Reflection
C) Translation
D) Dilation
D) Dilation
100
Which of the following proves similarity but not congruence?
A) SAS
B) ASA
C) SSS
D) AA
AA or angle-angle
100
A boy is flying his kite at a port. The kite is 10 feet away from the port and the angle of elevation is 20 degrees. What is the length of the kite's string?
What is x≈10.64
100
Two events, A and B, are independent.
P(A) = 0.3
P(A and B) = 0.24
What is P(B)?
0.3*P(B) = 0.24
P(B) = 0.8
200
An inscribed angle is 27o, what is the measure of the intercepted arc?
54
200
Which transformation results in a similar figure?
Dilation
200
Which 2 shapes are always similar?
Circle and square
200
What trig ratio would allow you to find the missing angle on a triangle where you are given the adjacent side and hypotenuse?
cos-1 or inverse cosine
200
Rosaline is looking on a website for fiction books that are in digital format. She gets the following results:
- 60% of the listed books are digital.
- 30% of the listed books are digital and fiction.
What single piece of information would be sufficient to determine if a listed book’s being digital is independent of its being fiction?
A) Percent of listed books that are digital
B) Percent of listed books that are fiction
C) Percent of listed books that are fiction or digital
D) Percent of listed books that are fiction and digital
B) Percent of listed books that are fiction
Because if they are independent Digital*Fiction=30%
300
What is the center of this circle?
(y-2)2+(x+4)2=4
(-4, 2)
300
A reflection over the x-axis will change which coordinate?
y-coordinate
300
If two triangles share a side, what reason could be used to show that side is congruent to itself?
Reflexive Property
300
Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65° angle with the ground.
What is the distance, in feet, from the base of the ladder to the base of the wall? Round to the nearest tenth of a foot.
Between 4.2-4.3
300
The table shows the different probabilities for events M and N.
P(M)=0.65
P(N)=0.32
P(M and N)=0.24
What is the value of P(M or N)?
P(M or N)=0.73
P(M or N) = P(M) + P(N) - P(M and N)
400
Two secant lines intersect outside the circle. If the two intercepted arcs are 48o and 86o, what is the measure of the angle outside the circle?
19
400
A reflection over the x-axis followed by a reflection over the y-axis is the same as...
A) 1 Translation
B) 1 Rotation
C) Dilation
B) 1 Rotation
400
You've done a proof showing triangle ABC≅XYZ
What reason could you give to prove ∠ B≅∠ Y?
CPCTC
Corresponding Parts of Congruent Triangles are Congruent
400
An airplane is 200 yards away from the foot of a building that is 60 feet. What is the angle of elevation that the plane must fly to avoid hitting the building? Round to the nearest .01
What is x≈5.72 degrees
400
The probability of flipping a fair coin and heads landing face up is 0.5. The probability of rolling a fair number cube, with sides numbered 1 through 6, and an odd number landing face up is 0.5.
What is the probability of flipping heads or rolling an odd number?
0.75
0.5+0.5-(0.5*0.5)
500
Two chords cross inside the circle. One intercepted arc is 36o and the angle at the intersection of the angles is 87. What is the measure of the other intercepted arc?
138
500
A figure is fully contained in quadrant II. It is reflected over the line y=x and then rotated 90 degrees counterclockwise. What quadrant would the resulting image be in?
I
The reflection over y=x would move the figure to quadrant IV. Then the 90 rotation would spin the figure to quadrant I
500
A shape has an area of 21. If it is dilated by a scale factor of 2, what's the new area?
84
21*22
500
The length of the hypotenuse of a right triangle is 26. One side is 24. What is the length of the missing side?
10
500
A bag has pink and black bracelets. Jeremy picks a black bracelet from the bag and does not replace it.
- Event X: Picking a black bracelet.
- Event Y: Picking a pink bracelet.
Jeremy picks a second bracelet from the bag.
Which expression describes the probability that the second bracelet is pink?
A) P(Y|X)
B) P(X|Y)
C) P(X u Y)
D) P(X n Y)
A) P(Y|X)
meaning probability of Y given X