Vocabulary
A transformation in which a graph or geometric figure slides and moves to another location without any change in size or orientation.
What is translation?
A translation moves every point of a figure in the same ________ and the same _________.
direction and distance
A reflection ____________ a figure over a line of ______________ in order to create a mirror image.
flips, reflection
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
What is a rotation of 180 degrees?
If the scale factor is larger than 1 the figure will _______________
enlarge, grow
To dilate a figure, _____________ its dimensions by the scale factor.
multiply
What is the algebraic equation for this verbal description: (x+1, y+10)
translation 1 unit right and 10 units up
What are the coordinates of X' when X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
What is X'(-3, -1)?
The rotation that creates the same image as a rotation 270 degrees clockwise.
What is a rotation 90 degrees counterclockwise?
Determine the scale factor: B(2, 5) and B'(1, 2.5).
What is scale factor = 1/2?
A _____________ is a type of transformation that changes the size of a figure by a scale factor.
dilation
(x-7, y+4)
What is the rule for when you reflect across the x-axis?
x value stays the same, change the y value to its opposite
What is the algebraic rule for a rotation of 90 degree clockwise?
What is (x, y)-->(y, -x)
Find the new coordinates of (3,-2) if you dilate the point with a scale factor of 4.
(12, -8)
Find the coordinates of M' and N' when M(-4, -1) and N(-3, -3) is translated 5 units right and 2 units up.
What is M'(1, 1) and N'(2, -1)?
How could you represent a reflection over the x-axis algebraically?
(x,y) --> (x, -y)
Which rotation is this rule describing (x, y)-->(-y, x).
rotation 270 degrees clockwise or 90 degrees counterclockwise
Find the coordinates of Y' when X(12, 4), Y(8,2) and Z(-4,0) are dilated by a scale factor of 1/4.
What is Y'(2, 1/2)?
Scale factor is a ________ of the corresponding dies in a figure.
ratio
The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3). What is the algebraic equation?
(x, y)-->(x, y-4)
Point A(8, -1) is reflected to A'(-8,-1), What is the line of reflection?
y-axis
Point M(6,8) was rotated counterclockwise to M'(-8,6). What is the degrees of rotation used and its algebraic rule?
90 degrees counterclockwise, (x,y) --> (-y,x)
Triangle G,H,I has dimensions of 8cm, by 8cm, by 12cm and dilates to a new figure G',H',I' with dimensions of 10cm, by 10cm, by 15cm. What is the scale factor used?
10/8 = 1.25