Translations
Reflections
Rotations
Vocab
Symmetry
100
Point A is located at (3, 2). It is translated 4 units right and 5 units up. What are the coordinates of A' after the translation?
A' is located at (7, 7)
100
Point A(3, 2) is reflected over the line y = x. What are the coordinates of A'?
A'(2, 3)
100
Point A(3, 2) is rotated 90° counterclockwise around the origin. What are the coordinates of A'?
A'(-2, 3)
100
The original image to be transformed.
Pre Image
100
Consider the letter "H" in a standard font. How many lines of symmetry does it have?
2
200
If point A(2,−1) is translated by the vector ⟨−4,7⟩, what are the coordinates of the image point A′?
(-2,6)
200
Point B(5, -3) is reflected over the line y = 1. What are the coordinates of B
B'(5, 5)
200
Point B(-4, 2) is rotated 270° counterclockwise around the origin. What are the coordinates of B'?
B'(2, 4)
200
Turning a figure around a point with a specific angle and in a specific direction.
Rotation
200
A figure shaped like the letter "Z" has no line symmetry. What is its degree of rotational symmetry?
180° rotational symmetry (order 2)
300
Point P(-2, 5) is translated to P'(3, -1). What is the translation vector?
Translation vector: ⟨5, -6⟩
5 units right and 6 units down
300
Triangle PQR has vertices P(-1, 3), Q(2, 4), and R(1, -2). If it is reflected over the line y = -x, what are the coordinates of P', Q', and R'?
P'(-3, 1), Q'(-4, -2), R'(2, -1)
300
Line segment CD has endpoints C(5, -2) and D(-1, 4). If it is rotated 180° counterclockwise around the origin, what are the coordinates of C' and D'?
C'(-5, 2), D'(1, -4)
300
A transformation that flips a figure over a line
Reflection
300
How many lines of Symmetry does a pentagon have?
5
400
Triangle ABC has vertices at A(0, 0), B(3, 0), and C(0, 4). If it is translated 2 units left and 1 unit down, what are the new coordinates of A', B', and C'?
A'(-2, -1), B'(1, -1), C'(-2, 3)
400
A square has vertices at (0, 0), (0, 4), (4, 4), and (4, 0). After reflection over the line x = 2, what are the coordinates of the reflected square?
Reflected square vertices: (4, 0), (4, 4), (0, 4), (0, 0)
400
Triangle PQR has vertices P(1, 1), Q(3, 1), and R(2, 3). After a 180° counterclockwise rotation around the origin, what are the coordinates of P', Q', and R'?
P'(-1, -1), Q'(-3, -1), R'(-2, -3)
400
The resulting figure after the transformation
Image
400
What degree of rotational symmetry does a pentagon have?
72o (order 5)
500
A parallelogram ABCD has vertices at A(1, 2), B(5, 4), C(7, 8), and D(3, 6). After a translation, point A' is at (4, -1). What are the coordinates of B', C', and D'?
After translation, the vertices are:
A'(4, -1), B'(8, 1), C'(10, 5), D'(6, 3)
500
Line segment CD has endpoints C(-2, 3) and D(4, -1). If it is reflected over the line y = 2, what are the coordinates of C' and D'?
C'(-2, 1) and D'(4, 5)
500
A square has vertices at (0, 1), (2, 1), (2, 3), and (0, 3). After a 90° counterclockwise rotation around the origin, what are the coordinates of the rotated square?
(-1, 0), (-1, 2), (-3, 2), (-3, 0)
500
A transformation that only changes the location on the graph (orientation stays the same)
Translation
500
An equilateral triangle has how many lines of symmetry? What is its degree of rotational symmetry
3 lines of symmetry; 120° rotational symmetry (order 3)