Dilation
A dilation is a transformation that changes an object's size, but not ___________.
Shape (or orientation)
True or false: a translation is a rigid motion
True
A reflection is also known as a ________.
Flip
True or false: the location of the center of rotation has no effect on the location of the image after a rotation has taken place
False
Where did Pythagoras invent the pythagorean theorem?
Greece
To dilate an object centered at the origin, multiply each coordinate of the pre-image by the _____________.
Scale factor
Point C(5,-2) is translated 3 units to the right. What are the coordinates of C'?
(8,-2)
If point R is reflected over the y-axis and has an x-coordinate of 3, what distance is R' from the y-axis?
3
If point V(-3,7) is rotated 180 degrees, the coordinates of V' are _______.
(3,-7)
The probability a fair coin flips heads is 1/2. You flip a fair coin 5 times and the results are as follows:
heads, heads, heads, heads, heads
What is the probability that the coin flips heads a 6th time?
1/2
AB has a length of 3 and A'B' has a length of 12. What is the scale factor?
4
If AB has a length of 7.3 and is translated 3 units left and 4 units down, what is the length of A'B'?
7.3
Triangle ABC is reflected over the x-axis. Which of the following statements are true about A'B'C'?
1. ABC and A'B'C' have the same orientation
2. A'B'C' and ABC have the same area
3. ABC has the same perimeter as A'B'C'
4. Triangle ABC is congruent to triangle A'B'C'
5. Angle B is congruent to Angle C'
2,3, and 4
If parallelogram VWXY is rotated 90 degrees counterclockwise around the origin and V'W' has a slope of 1/2, what is the slope of X'Y'?
1/2
There are 52 cards in a deck (not including Jokers). What is the probability that you will pull a Heart from the deck?
1/4
Triangle XYZ has coordinates X(3,-2), Y(0,1), and Z(-2,6) and is dilated by a scale factor of 1/2. What are the coordinates of Z'?
(-1,3)
What is the translation rule of the following transformation? Write it in transformation rule form {(x,y) --> something}.
A(0,5) A'(-4,7)
B(-3,1) B'(-7,3)
C(-6,7) C'(-10,9)
(x,y) --> (x - 4, y+2)
G(-8,3)
H(-2,1)
J(1,1)
G'(3,-8)
H'(1,-2)
J'(1,1)
What are the coordinates of A'B'C' if ABC is rotated 90 degrees clockwise around the origin?
A(0,0)
B(2,5)
C(4,8)
A'(0,0)
B'(5,-2)
C'(8,-4)
The fibonacci sequence is as follows: 1,1,2,3,5,8,13,...
What is the next number in the sequence?
21
Square ABCD has coordinates A(0,0), B(4,0), C(4,4), and D(0,4). If ABCD is dilated by a scale factor of 2, the area of square A'B'C'D' is ________ times the area of square ABCD.
Hint: Area = length * width
4
What are the coordinates of CBS if the coordinates of C'B'S' are C'(4,5), B'(-8,3), S'(4,-4) and the translation rule is (x,y) --> (x - 3, y - 2)?
C(7,7)
B(-5,5)
S(7,-2)
K(-3,4) is reflected over the y-axis, then reflected over the x-axis. What is K'?
Bonus (+100): What single transformation has the same result?
K'(3,-4)
Bonus: rotation 180 degrees
Point T(9,-5) is rotated 270 degrees counterclockwise around the origin and then reflected over the line y = x. What are the coordinates of T'?
T'(-9,-5)
Binary numbers are how computers mainly function. Here are the binary numbers for 0 through 10. What is 11 in binary?
0: 0000
1: 0001
2: 0010
3: 0011
4: 0100
5: 0101
6: 0110
7: 0111
8: 1000
9: 1001
10: 1010
1011