Translations
True or False: A translation does not preserve congruence.
False
True or False: A reflection changes orientation.
True
True or False: A rotation preserves congruence.
True
What is the algebraic rule for a rotation of 180 degrees clockwise and counterclockwise.
(-x,-y)
Which letter represents the slope in y=mx+b?
m
Write the rule for point 3 units left and 4 units up.
(x - 3, y + 4)
Write the notation of point (x,y) after it is reflected over the y-axis.
What is (-x,y)?
Write the notation of point (x,y) after it rotates 90º clockwise.
What is (y,-x)?
Identify the rule for a reflection over the x-axis.
(x,-y)
What is the "magic key" in your calculator to help with slope?
STAT
Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
What is (x-3,y+7)?
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
What is (-3,-2)?
Find the new coordinates of (5,4) after you rotate the point with 180º.
What is (-5,-4)?
What is the algebraic rule of a rotation that is 90 degrees clockwise or 270 degrees counterclockwise.
(y,-x)
Find the slope of (-3, 0) and (1, 2).
1/2 or 0.5
Point (11, -6) is translated 3 units left and 5 units up. What is the new coordinates?
(8, -1)
Triangle D (0, 0), E (3, -4), F (-2, 3) is on the coordinate plane. Write the new coordinates after a reflection across the y-axis.
D' (0, 0), E' (-3, -4), F' (2, 3)
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?
What is (1,6)?
Write the rule for a translation of 5 units down and 10 units right.
(x + 10, y - 5)
Write the equation for points (-3, 2) and (3, -2).
Y = -2/3x
Triangle ABC has coordinates A (0, 0), B (1, 3), and C (-1, 2). Write the new coordinates A'B'C' after a translation (x + 4, y - 3).
A' (4, -3), B' (5, 0), C' (3, -1)
Line segment A (6, 7) and B (-1, 5) is reflected over the x-axis, then reflected over the y-axis. Write A' and B'.
A' (-6, -7), B' (1, -5)
Triangle A (8, 7), B (-4, 2), C (3, 0) is rotated 90 degrees counter-clockwise. Write A'B'C'.
A' (-7, 8), B' (-2, -4), C' (0, 3)
Point (5, 3) is reflected over the y-axis, then rotated 90 degrees clockwise. What is the new coordinates?
(3, 5)
Create a proportional table with at least 3 sets of numbers.
answers will vary