Transformations
Similarity
Trigonometry
Solids
Parallel/Perpendicular
Circles
Probability
100
Name the four transformations and identify which are considered rigid transformations.
Rigid: Translation, Rotation, Reflection
Non-Rigid: Dilation
100
Are the triangles similar? If so, by what postulate? If not, explain using scale factors/ratios.
AA
100
What are the ratios for sine, cosine, and tangent?
Sin(x) = O/H
Cos(x) = A/H
Tan(x) = O/A
100
A cylinder is sliced vertically along a dotted line, as shown. Which two-dimensional shape is created from this cross section?
Rectangle
100
If the slope of a line is -3, what is the slope of a line that is parallel and a slope of a line that is perpendicular to the given line? Be sure to clearly label your answer.
Parallel: -3
Perpendicular: 1/3
100
Determine the center and radius of the following circle:
Center: (-2, 5)
Radius: 7
100
Two events A and B are independent.
P(A) = 0.3
P(A and B) = 0.24
What is P(B)?
P(B) = 0.8
200
Mr. Hvizdos completes a transformation on a triangle. The resulting triangle is similar, but it is NOT congruent to the original triangle. What transformation did Mr. Hvizdos perform?
Dilation
200
Are the triangles similar? If so, by what postulate? If not, explain using scale factors/ratios.
SAS
200
What is sin(Z)?
12/20 = 3/5
200
Find the volume of the solid.
167.6
200
What is the slope of a line perpendicular to the graph of the following line?
-4/5
200
Which equation could be used to find the area of the shaded region?
A
200
A student flips a fair coin twice and is surprised the result is heads both times. Are the two events independent or dependent? Explain.
Independent
300
Triangle B is rotated 90° counterclockwise about the origin. Which triangle shows the new location?
A
300
The triangles below are similar. Find the value of x.
12
300
Solve for x.
12.5
300
Find the volume of the solid.
15
300
Point A is located at (3, -2). The midpoint of line segment AB is point C (7, 1). What are the coordinates of point B?
(11, 4)
300
Find the measures of ∠A and ∠D.
∠A = 70
∠D = 95
300
Find P(Car or 11th grade).
145/297
400
If B(3,1) and B'(-4,5), what is the translation rule?
(x-7, y+4)
400
Find the volume of the shaded region.
1951.3
400
Line k has a slope of -5. Line j is perpendicular to line k and passes through point (5, 9). Create the equation for line j.
y - 9 = 1/5(x - 5)
y = 1/5x + 8
400
Find the measure of arc AL and ∠ACL.
arc AL = 40
∠ACL = 20
400
Find P(Car | 11th grade).
15/82
500
Reflect the triangle A(1,3), B(5,2), C(4,-1) about the y- axis.
A'(-1,3), B'(-5,2), C'(-4,-1)
500
Square JKLM is shown. Which three dimensional figure could result from rotating square JKLM 360° clockwise about the segment JM.
Cylinder
500
Square ABCD has vertices at A(1,2) and B(3,-3). What is the slope of BC?
-5/2
500
Circle A can be mapped onto circle B by a translation _______________ and a dilation about the center of circle B by a scale factor of _______________.
Translation: (x+11, y-4)
Dilation: k = 2
500
Consider two events: Event A is that the student is a 9th grader and event B is that the student walked to school. Are the events independent? Support your claim with mathematical evidence.
P(Walk) = 125/297 = 0.421, P(Walk | 9th) = 30/105 = 0.286, Dependent
OR
P(9th) = 105/297 = 0.354, P(9th | Walk) = 30/125 = 0.24, Dependent