Translations
Label and state the prime image of A(1, 4) after a translation 4 units up and 5 units left?
A'(-4, 8)
When we start in Quadrant 1 and rotate 90 counter-clockwise, which Quadrant do we end up in?
Quadrant 2
True or False: Reflections preserve size and orientation.
False - orientation is not preserved under a reflection.
What does congruent mean?
Same size and shape.
What is the definition of a pre-image?
Shape before transformation has been performed
Translate L(-3, -2) A(0, -1) D(3, -2) 1 unit right and 3 units up.
L'(-2, 1) A'(1, 2) D'(4, 1)
True or False: Rotating a figure 90 degrees clockwise is the same as rotating a figure 270 degrees counter-clockwise.
True.
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H' (-7, -9)
After which transformations will a pre-image stay congruent to the image?
After a reflection, translation, and rotation. (After rigid transformations).
What is the difference between congruence vs. similarity?
Congruent means same size/shape, similar means same shape but different size.
What is the translation rule if the points are going from A(-3, -4), B(-1, -4) to A'(3, -4), B'(5, -4)?
(x + 6, y)
What is the new image of Z(-4, 0) if you rotate it 90 degrees clockwise?
Z' (0, 4)
What are the points of the new image D(-1, -4) E(2, -4) F (2, 5) across the y-axis
D'(1, -4) E'(-2, -4) F'(-2, 5)
Given Triangle ABC is congruent to Triangle DEF, write a congruent statement for the two triangles.
Check answer.
What is the difference between an enlargement of a shape and a reduction?
Enlargement is a dilation by a number bigger than 1, Reduction is a dilation by a number between 0 and 1.
What is the coordinate point of the pre-image A given that A' is (8, -7) and underwent (x - 2, y + 3)
A(10, -10)
How many degrees was the figure rotated if the new image of X(-4, 2) Y(-4, 0) Z(0, 3) is X'(4, -2) Y'(4, 0) Z'(0, -3)?
Rotation of 180 degrees
What is the line of reflection if L(1, 4) M(1, 0) N (3,0) mapped to L'(1, -4) M'(1, 0) N'(3, 0)?
Reflection across the x-axis
Given Triangle ABC is congruent to Triangle DEF, write congruency statements for the angles.
<A is congruent to <D
<B is congruent to <E
<C is congruent to <F
What does orientation mean?
Position of your image, correlating to how it is read.
What is the new image of A(2, 4) B(3, 6) C( -6, 6) given (x, y) --> (x + 4.5, y + 2.3)?
A'(6.5, 6.3) B'(7.5, 8.3) C'(-1.5, 8.3)
What are the coordinates of your image if M(-2, 2) N(-1, -2) O(-3, -3) rotates 270 degrees counterclockwise?
M(2, 2) N(-2, 1) O(-3, 3)
Given Triangle ABC is congruent to Triangle DEF, write congruency statements for the corresponding sides.
Side AB is congruent to Side DE
Side BC is congruent to Side EF
Side CA is congruent to Side FD
What is the original image of D'(-8, -12) E'(-8, 12) F'(12, -8) if it underwent a dilation by 2?
D(-4, -6) E(-4, 6) F(6, -4)
What is rigid motion?
Transformation that changes position without changing size or shape of figure.