Translations
The starting figure before a transformation is called?
What is pre-image?
A type of transformation in which you flip a figure across a line and the line is called?
What is line of reflection?
What are the two directions in rotations?
What is counterclockwise and clockwise?
The ____________ of a dilation is the ratio of a length in the image to the corresponding length in the pre-image.
What is scale factor?
What is the value we use for pi?
What is 3.14?
True or false:
During a translation, the pre-image is allowed to slide to a different location and it's size changes during the sliding.
False
When there is a reflection across the x-axis, all the x-values stay the same?
True or False?
True
Is the rule the same for either clockwise or counterclockwise for 180 degrees?
Yes or no?
Yes
What is the coordinates of the origin?
(0, 0)
What is the volume of a sphere?
V = (4/3)(pi)r3
Triangle ABC has the coordinates A(-8, 10), B(-6, -4), C(-4, 5). If triangle ABC is translated using the rule (x, y) --> (x + 9, y-11), in which quadrant does Triangle A'B'C' lie?
Fourth
Ingrid reflected point M(-5, -3) over the x-axis and plotted point M'. Then, she reflected point M' over the y-axis and plotted point M''. What are the coordinates of point M''?
(5, 3)
Point W has coordinates W(-3, -5). Which of the following art the coordinates of W', the image of W under a rotation of 180 degrees about the origin?
A) (3, -5)
B) (3, 5)
C) (5, 3)
D) (-5, 3)
B
Which rule represents the dilation of a figure by a scale factor of 5 that is centered at the origin?
A (x, y) --> ((1/5)x, (1/5)y)
B (x, y) --> (5x, 5y)
C (x, y) --> (x + 5, y + 5)
D) (x, y) --> (x - 5, y - 5)
B
A line segment that can be drawn from any point on a circle to the center of the circle or sphere is called the ________.
Radius
Let m represent a positive number. The rule below describes a translation of point P in the coordinate plane.
P(x, y) --> P'(x + m, y - m)
Which of the following describes the effect of the translation?
A) P is translated to the left and up by m units.
B) P is translated to the left and down by m units.
C) P is translated to the right and up by m units.
D) P is translated to the right and down by m units.
What is D?
The image of P(x, y) after a reflection over the y-axis is P'(-3, 11). Which of the following are the values of x and y?
x = 3 and y = 11
The image of P(4, -3) under some rotation about the origin is P'(-3, -4). Which rotation was performed on point P?
A) 90 degrees clockwise
B) 90 degrees counterclockwise
C) 180 degrees counterclockwise
D) 270 degrees clockwise
A
If the scale factor is greater than 0, but less than one, what is this called?
Reduction
What expression can be used to find the volume of a cone with a height of 15 centimeters and a diameter of 8 centimeters?
V = (1/3)(pi)(4cm)2(15cm)