Translation
This transformation slides an object without changing its orientation.
Translation
This transformation turns an object around a fixed point.
What is a rotation?
This transformation flips an object over a line.
What is a reflection?
What are mixed transformations in mathematics?
What are combinations of translation, rotation, and reflection transformations applied in sequence?
What is the smallest prime number?
What is 2?
If you translate a triangle 3 units to the right and 2 units down, what are the new coordinates of a vertex originally at (2, 4)?
What are (5, 2)?
If you rotate a square 90 degrees counterclockwise around its center, what is the new position of the top-right vertex originally at (3, 3)?
What is (3, -3)?
If you reflect a shape over the y-axis, what happens to a point originally at (-4, 2)?
What is it becomes (4, 2)?
Perform a translation of a rectangle with vertices A(1, 2), B(4, 2), C(4, 6), and D(1, 6) one unit to the left, followed by a reflection over the y-axis. What are the new coordinates of point B?
What is (-3, 2)?
What is the value of π (pi) to two decimal places?
What is approximately 3.14?
Translate the triangle with vertices A(1, 2), B(4, 3), and C(2, 5) two units to the left and one unit down. What are the new coordinates of point A?
What is (-1, 1)?
In a 90-degree clockwise rotation, what happens to the coordinates (x, y)?
What is the transformation where (x, y) becomes (y, -x)?
If you have a line segment AB with endpoints A(2, 3) and B(5, 7), and you reflect it over the y-axis, what are the coordinates of point A after the reflection?
What is (-2, 3)?
If you first rotate a triangle 90 degrees counterclockwise and then reflect it over the y-axis, what is the final transformation?
What is a reflection over the y-axis of a 90-degree counterclockwise rotation?
What is the sum of the angles in a triangle?
What is 180 degrees?
If you have a line segment AB with endpoints A(2, 3) and B(5, 7), and you translate it 4 units to the left and 2 units down, what are the coordinates of point B after the translation?
What is (1, 5)?
If you rotate a point (3, 4) 180 degrees counterclockwise about the origin, what are its new coordinates?
What are (-3, -4)?
What type of symmetry does a square have, and how many lines of reflection symmetry does it possess?
What is the rotational symmetry of 90 degrees, and it has 4 lines of reflection symmetry?
You perform a translation to move a square 4 units up, followed by a 90-degree clockwise rotation about its center. What is the final position of the top-right vertex originally at (2, 3)?
What is (-1, 6)?
What is the square root of 64?
What is 8?
Translate the rectangle with vertices A(1, 2), B(4, 2), C(4, 6), and D(1, 6) four units to the right and three units up. What are the new coordinates of point C?
What is (8, 9)?
If you rotate a triangle with vertices A(1, 2), B(4, 3), and C(2, 5) 60 degrees counterclockwise about the origin, what are the new coordinates of point B?
What is (-2.366, 5.232) (rounded to three decimal places)?
Reflect the triangle with vertices A(1, 2), B(4, 2), and C(4, 6) over the y-axis. What are the new coordinates of point C?
What is (-4, 6)?
You perform a translation to move a point (2, 3) three units up, followed by a 180-degree rotation about the origin. What are the final coordinates of the point?
What are (-2, -6)?
Give an example of how transformations are used in real life, outside of mathematics.
(Answers may vary, e.g., computer graphics, mapping applications, architecture)