Reflections
True or False. When reflecting a point over the line y = x, you must switch the x and y and x becomes negative.
What is false?
Point J(8,-1) is rotated 180 degrees. What is the new location for point J?
What is (-8,1)?
Write the notation of point (x,y) after it is dilated by a scale factor of 8.
What is (8x, 8y)?
Point N(1,1) is translated 3 units left and 5 units up and then dilated by a scale factor of 4. What is the new location for point N?
What is (16,24)?
DOUBLE JEOPARDY
Point M (3,1) is translated 10 units left and 7 units up. What is the new coordinate for M'?
What is M'(-7,8)?
Reflect Point S (-7,4) over the y-axis.
What is S' (7,4)?
True or False. Rotating a figure 90 degrees clockwise is the same as rotating a figure 270 counterclockwise.
What is true?
DOUBLE JEOPARDY
Point Y(4,6) is dilated by a scale factor of 1/2. What is the new coordinate for Y'?
What is Y'(2,3)?
True or False. If you were to translate a triangle and then rotate it 180 degrees, it would remain the same size.
What is True?
What does it mean to translate a figure?
What is move it left, right, up or down?
Point T(5,-6) is reflected over the line y= 1. What is the new coordinate for T'?
What is T'(5,4)?
Point Z (-1,7) is rotated 90 degrees clockwise and then rotated 270 degrees counterclockwise. Where is the new location for Point Z''?
What is Z'' (1,7)?
True or False. When a figure is dilated, it maintains its size and changes it orientation.
What is false?
DOUBLE JEOPARDY!!!
The point (35, 107) is shifted 3 units left and 7 units down. It is then dilated by a scale factor of 1/4. What is the location for the new point?
What is (8,25)?
A figure was shifted 4 units right and 1 unit up. How would you express this translation in function notation?
What is (x + 4, y + 1)?
DOUBLE JEOPARDY!!!
Point Q (9,8) is reflected over the x-axis and then reflected over the line y = -x. What is the new coordinate for Q' ?
What is Q'(8,-9)?
How would you express the transformation 180 degrees and then a rotation of 270 degrees clockwise?
What is (y,-x)?
Point K is located at (-15,48) and K' is located at (-5,16). What is the scale factor?
What is k = 1/3?
The point (0,2) is reflected across the x-axis and then rotated 90 degrees counterclockwise. What would be the location of the new point?
What is (-2,0)?
Square MATH is translated 3 units left and 4 units up. What are the new translated points for M'A'T'H'? M(0,0) A(-5,0) T(-5,-5) H(0,-5)?
What is M'(-3,4) A'(-8,4) T'(-8,-1) H'(3,-1)?
Triangle EFGH is reflected over the y-axis, then reflected over the line y = x, and then reflected over the x-axis. What are the coordinates of E'''F'''G'''H'''? E(-2,8) F(3,8) G(-2,0) H(3,0)?
DOUBLE JEOPARDY!!!
Trapezoid TIME has points T(2,2), I(8,2), M(6,5) and E(4,5). It is rotated 90 degrees counterclockwise, rotated 180 degrees, and then rotated 270 degrees counterclockwise. What are the points for T'''I'''M'''E'''?
What is T'''(-2,-2) I'''(-8,-2) M'''(-6,-5) E'''(-4,-5)?
Triangle ABC has points A(4,1) B(10,1) and C(6,6) and is dilated by a scale factor of 2 and then by a scale factor of 1/4/ What would be the coordinates for A'', B'', and C''?
What is A''(2, 1/2) B''(5, 1/2) C(3,3)?
Rectangle WXYZ has points W(-4,-1) X(-1,-1) Y(-4,-4) Z(-1,-4). It is rotated 270 degrees counterclockwise and then reflected across the line y = x. What are the new point locations for W''X''Y''Z"'?
What is W''(4,-1) X(1,-1) Y(4,-4) Z(1,-4)?
Point O' is located at (-12,9). It was translated using the rule (x + 11, y - 6). What is the location of Point O?
What is (-23,15)?