Translation
When you translate a figure using the vector <-3, 5>, you move it this many units left and this many units up.
What is 3 units left and 5 units up?
When you reflect a point across the y-axis, this coordinate stays the same while this coordinate changes sign
What is the y-coordinate stays the same and the x-coordinate changes sign?
When you rotate a point 90° counterclockwise about the origin, the point (x, y) becomes this
What is (-y, x)?
A figure that looks exactly the same after being reflected across a line has this type of symmetry
What is line symmetry (or reflectional symmetry)?
A point undergoes a translation by <3, -2> followed by a reflection across the y-axis. If the final point is at (-1, 4), what was the original point?
What is (-4, 6)?
If point B(4, -2) is translated 6 units left and 3 units down, what are the new coordinates?
What is (-2, -5)?
Point C(3, -4) is reflected across the x-axis. What are the new coordinates?
What is (3, 4)?
Point M(4, 2) is rotated 180° about the origin. What are the new coordinates?
What is (-4, -2)?
How many lines of symmetry does a regular hexagon have?
What is 6?
Triangle ABC is reflected across the x-axis, then rotated 90° counterclockwise about the origin. If A starts at (2, 3), where does A end up after both transformations?
What is (3, 2)?
A rectangle has vertices at (1,2), (5,2), (5,6), and (1,6). After translation by vector <-4, 3>, what are the coordinates of the new rectangle?
What is (-3,5), (1,5), (1,9), and (-3,9)?
Triangle DEF has vertices D(-2, 1), E(0, 5), and F(3, 2). After reflecting across the line y = x, what are the new coordinates?
What is D'(1, -2), E'(5, 0), and F'(2, 3)?
Triangle PQR with vertices P(1, 3), Q(5, 1), and R(2, -2) is rotated 270° counterclockwise about the origin. What are the new coordinates?
What is P'(3, -1), Q'(1, -5), and R'(-2, -2)?
A figure has rotational symmetry of order 4. This means it looks the same after being rotated by this many degrees
What is 90°?
A square has both rotational symmetry of order 4 and 4 lines of symmetry. After translating it 5 units right, how many lines of symmetry does it still have?
What is 4?
If triangle ABC is translated to triangle A'B'C' where A(2,1) becomes A'(-1,4), what translation vector was used?
What is <-3, 3>?
A point P(a, b) is reflected across the line y = -x. What are the coordinates of the reflected point P'?
What is (-b, -a)?
A point is rotated 90° clockwise about the origin and lands at (6, -3). What were the original coordinates?
What is (3, 6)?
Which of these letters has both horizontal and vertical line symmetry: H, B, D, or A?
What is H?
Point P(1, -2) undergoes three transformations: rotation 180° about origin, then reflection across y = x, then translation by <-3, 1>. What are the final coordinates?
What is (-5, 2)?
A parallelogram undergoes two consecutive translations: first by <2, -3> then by <-5, 7>. What single translation vector produces the same result?
What is <-3, 4>?
Rectangle GHIJ is reflected across the line y = 2. If vertex G is at (1, 5), where is G' located after the reflection?
What is (1, -1)?
Square ABCD has center at (2, 1) and vertex A at (4, 3). After a 90° counterclockwise rotation about its center, where is vertex A located?
What is (0, 3)?
A regular polygon has rotational symmetry of order 8 and 8 lines of symmetry. How many sides does this polygon have?
What is 8 sides?
A rectangle is translated 4 units left and 2 units up, then reflected across the x-axis. If one vertex starts at (5, 3) and ends at (1, -5), is this transformation sequence correct?
What is yes?