Translations
A rotation is when you do this to a figure.
What is spin it?
Write an equation in slope-intercept form for a line with the following slope and points.
m = 2/3 and (0, -2), (3, 0)
y = 2/3x - 2
What are the rigid motions?
translation, reflection, rotation
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
What is (7,16)?
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 (4,5)?
Write the equation of a vertical line through point (2, 4)
x = 2
What must be equal in order for two figures to be congruent?
Write the coordinate notation of point (x,y) after it moves 3 spots to the left and 7 spots up.
What is (x-3,y+7)?
Write the coordinate notation of point (x,y) after it is reflected over the y-axis.
What is (-x,y)?
Write the coordinate notation of point (x,y) after it rotates 90º clockwise.
What is (y,-x)?
Is x = 2 a solution to the equation?
2(x - 5) + 3 = 13
No
If a pre image in quadrant 2 is rotated 630 degrees clockwise, what quadrant is the congruent figure in?
Quadrant 3
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
What is a translation of 8 units to the right and 4 units up?
A picture with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?
What is (4,-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)?
Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21
y = 1/2x - 3
What is the vocabulary term for the point which a figure rotates around?
center of rotation
Graph ∆LMN after a translation using the vector <6, -4>
L(0,3) M(6,4) N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?
Graph rectangle DEFG after a reflection over the line y=x.
D(5,5) E(5,8) F(8,8) G(8,5)
What is D'(5,5), E'(8,5), F'(8,8), G'(5,8)?
Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)
What is J(-5,-6), L(-7,-9), L(-1,-2)?
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
2/3
What is the vocabulary term for the line which a figure a reflected across.
line of reflection