Translation
A translation is when you do this to a figure.
Slide
What is the shape called after it's transformed?
the image
What is the midpoint formula?
M( (x₁+x₂)/2, (y₁+y₂)/2 )
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.
What is (7,16)?
A rotation is when you do this to a figure.
Turn
What is the name for any change such as a Translation, Rotation, or Reflection?
Transformation
Given A( 2,-5 ) and B( -3,-7 ) on the line segment AB, find the midpoint of AB.
(-.5,-6)
What is the distance between (8,11) and (8,4)?
7
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 (5,4) after you rotate the point with 180º.
(-5,-4)
This theorem is the same as the distance formula
The Pythagorean Theorem
Find the midpoint of the line segment AB where A( 0, 2 ) and B( -1, - 4 ).
(-.5,-1)
Given the points A and B where A is at coordinates ( 2, -5 ) and B is at coordinates ( -3, -7 ) on the line segment AB, find the length of AB.
√29 or 5.39
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?
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
What is X'(-3, -1)?
You can locate the midpoint by finding the ______ of the coordinates.
Average, mean, middle
Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )
(-1.5,-1)
The horizontal distance between A and B is 6. The vertical distance between A and B is 8. What is the diagonal distance?
10
Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)
What is L'(6,-1), M'(12,0), N'(9,5)?
R(6,-1). Which will be the coordinates of R after the point is rotated 90º clockwise about the origin?
R'(-1,-6)?
A transformation in which a graph or geometric figure is moved to another location without any change in size or orientation.
translation
Find the midpoint M of the line segment A(-1, 4) and B(5, -2), then find the midpoint N between M and A.
M(2, 1) and N(0.5, 2.5)
Which two sides of triangle ABC are the same length? A(-4,3), B(4,3), C(0,4)
AC and BC