Vocabulary
A transformation in which a graph or geometric figure slides to another location.
What is translation?
A figure that is translated 3 units left that starts at (0,0).
What is (-3,0)?
What happens in a reflection across the y axis?
What is (x,y) becomes (-x, y)
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise. Also (x,y) turns into (-x,-y)
What is a rotation of 180 degrees?
Vertically stretch the point (-1, 15) by 2 and horizontally stretch by 1/2.
What is (-1/2, 30)?
Operations that alter the form of a figure. Examples: translations, reflections, and rotations.
What is transformations?
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by (x, y) -> (x+2, y-5).
What is A'(4, -1)?
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)?
The rotation of 270 degrees clockwise of (-2, 5).
What is (-5, -2)?
Dilate triangle ABC, A(2, 3), B (-1, 2), and C(0, -2), by 1/4.
What is A'(1/2, 3/4), B'(-1/4, 1/2), and C'(0, -1/2)?
The two axis' where transformations occur.
What is the x and y axis?
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by (x, y) -> (x-5, y+1).
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
What happens in a reflection across the x-axis?
What is (x,y) becomes (x,-y)
A rotation clockwise of 90 degrees of (-1,-6).
What is (-6, 1)?
What produces and enlargement? What produces a reduction?
Enlargement is r greater than 1.
Reduction is r between 0 and 1.
A transformation in which a plane figure turns around a fixed center point.
What is rotation?
Find the coordinates of M and N when M'N' with M'(-4, -1) and N'(-3, -3) has been translated 5 units right and 2 units up.
What is M'(-9, -3) and N'(-8, -5)?
The line of reflection over x axis when A(-2, 0), B(1, 3), and C(3, -4)
What is A' (-2,0) B' (1,-3) C 3,4)
This angle of rotation maps (x, y)-->(-y, x).
What is rotation 270 degrees clockwise or 90 degrees counterclockwise?
Go to
https://mathbitsnotebook.com/Geometry/Transformations/TRCompositionPractice.html
and do question #5.
Rotate -90 degrees.
Translate (x, y) -> (x-1, y).
Reflect over the x-axis.
The essential question in today's lesson.
What is how do you identify the different figures of a transformation?
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 (x, y) -> (x, y-4)?
Reflect the points X(-4, 0), Y(-2, -2), and Z(0, -8) over y=x.
What is X' (0, -4) Y' (-2, -2) Z' (-8,0)?
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated counterclockwise 180 degrees.
What is A'(3, 2) and B'(1, -2)?
Point A(3, 3) is translated left 4 and up 1. Then the point is reflected over the line y=x. What are the new coordinates of the point?
What is (4, -1)?