Translations
A translation is when you do this to a figure.
move/slide it right, left, up, or down
A reflection is when you do this to a figure.
flip it or make a mirror image of it
A rotation is when you do this to a figure.
spin it
Angles that are formed by a transversal that are outside of the parallel lines.
exterior angles
These are two angles that add up to 900
complementary angles
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
(7,16)
Find the new coordinates of (3,-2) after you reflect the point over the x-axis.
(3, 2)
Find the new coordinates of (5,4) after you rotate the point with 180º.
(-5, -4)
Angles on the interior that are on opposite sides of the transversal.
alternate interior angles
The line that intersects two parallel lines
transversal
Write the algebraic representation of point (x,y) after it moves 3 spots to the left and 7 spots up.
(x-3,y+7)
Write the notation of point (x,y) after it is reflected over the y-axis.
(-x, y)
Write the algebraic representation of point (x,y) after it rotates 90º counterclockwise.
(-y, x)
Angles formed on the exterior of the parallel lines that are on opposite sides of the transversal?
alternate exterior angles
Two lines that intersect to form right angles.
perpendicular lines
Describe the translation for this notation: (x,y) --> (x + 8, y + 4)
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 axis. What should be the new coordinates of the point?
(3, 4)
Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). What will be the coordinates of vertex R after the rectangle is rotated 270º clockwise about the origin?
R' (-1,-6)
Angles that are on the same locations on the parallel lines.
corresponding angles
Two lines that are in the same plane that never intersect
parallel lines
What are the points of ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
L'(6,-1), M'(12,0), N'(9,5)
What are the points of rectangle DEFG after a reflection over the line y axis? D(-6,5) E(5,-8) F(7,8) G(-8,5)
D'(6, 5), E'(-5, -8), F'(-7, 8), G'(8, 5)
What will be the new points of ∆JKL after a rotation of 180º about the origin.
J(5,6) K(7,9) L (1,2)
J'(-5,-6), K'(-7,-9), L'(-1,-2)
What is the relationship of corresponding angles?
corresponding angles are CONGRUENT
Two angles that create a straight angle.
supplementary angles