Translations
What direction would you change your figure if you were applying the rule
(x,y)->(x - 10, y)
?
Left 10 units
What is another word for a rotation?
To turn
What is another word for a reflection?
To Flip or a mirror image
What are two words that also mean dilation?
What is expand and shrink -or- increase and decrease.
If a figure is dilated by a scale factor of 1/6, how would you write the algebraic representation?
Draw a picture to help...
(x,y)->(1/6x,1/6y)
What direction would you change your figure if you were applying the rule
(x,y)->(x,y + 1)
?
Up 1 unit
Point A (3,7) is rotated 180 degrees about the origin, what is the coordinate of A'?
What is A' (-3,-7).
Point C (3,5) is reflected over the x-axis. What is the coordinate of C'?
What is C' (3,-5).
If a figure is dilated by a scale factor of 6, will the new image expand or shrink?
What is expand.
When a figure is rotated 90 degrees. How would you write the algebraic representation?
Draw a picture to help...
(x,y)->(y,-x)
What is another word for translation?
To slide or move
Point C (1,4) is rotated 90 clockwise degrees about the origin, what is the coordinate of C'?
What is C' (4,-1)
Point M (-6,-8) is reflected over the y-axis. What is the coordinate of M'?
What is M' (6,-8).
The coordinates of triangle BAT are B(3,2) A(-4,0) T(1,-1). Dilate the shape by a scale factor of 2. What would the coordinates of image B'A'T' be?
What is B'(6,4) A'(-8,0) T'(2,-2).
Which of the transformations does not result in a congruent figure?
A dilation only!
All other transformations keep the same size and same shape.
Write a rule for the following translation: eight units to the right and six units down?
(x,y)->(x+8,y -6)
Point B (-2,4) is rotated 90 counterclockwise degrees about the origin, what is the coordinate of B'?
What is B' (-4,-2).
Point K (4,-4) is reflected over the y-axis. What is the coordinate of K'?
What is K' (-4,-4)
Given the point and its image, determine the scale factor. A (9,6) A'(3,2)
What is 1/3.
If a shape is reflected across the x-axis, what does the algebraic representation look like?
Draw a picture to help...
(x,y)->(x,-y)
If Triangle ABC was located at A(1,1) B(3,5) C(4,2) and was translated three units to the left and two units down, what would the new coordinates of C' be?
What is C' (1,0).
When a figure is rotated about the origin, is the result congruent or similar? Why?
What is congruent because both the shape and size will remain the same.
Point S (-2,6) is reflected over the y-axis. Point S' is then reflected over the x-axis. What is the coordinate of S''?
What is S'' (2,-6).
The coordinates of triangle MAP are M(8,4) A(0,4) P(8,-8). Dilate the shape by a scale factor of 1/4. What would the coordinates of image M'A'P' be?
What is M'(2,1) A'(0,1) P'(2,-2).
If a pre-image is moved 5 units down and 6 to the left, write the algebraic representation for it.
Draw a picture to help...
(x,y)-> (x-6, y-5)