Vocabulary
A figure that results from the transformation of a geometric figure
What is the image?
What are the four directions a translation can move?
What are up, down, left, and right?
What is the maximum degree of rotation for a figure to exhibit rotational symmetry?
What is 180 degrees?
What is a one-word definition to describe a reflection?
What is mirror or flip?
A function that moves or changes a figure in some way to produce a new figure.
What is a transformation?
A transformation that preserves length and angle measure
What is a rigid motion?
The vertices of Triangle ABC are A(0, 3), B(2, 4), and C(1, 0). Write the coordinates of Triangle ABC after it has been translated using the vector <3, -2>.
What are A'(3, 1), B'(5, 2,), and C'(4, -2)?
A regular hexagon has rotational symmetry. What are the degrees of rotation at which the hexagon can be rotated about its center and still look the same?
What are 60, 120, and 180 degrees?
The vertices of Triangle ABC are A(0, 3), B(2, 4), and C(1, 0). Write the coordinates of Triangle ABC after it has been reflected across the x-axis.
What are A'(0, -3), B'(2, -4), and C'(1, 0)?
When rotating an image, assume you turn ______________ unless told otherwise.
What is counterclockwise?
A small apostrophe (') symbol after a point or figure's label to denote its transformed image after a transformation like translation, rotation, or reflection
What is prime?
Write the rule that translates A(-2, 4) to A'(6, 2)?
What is (x,y) --> (x+8, y-2)?
A triangle has a vertex at A(3, 2). What are the coordinates of A after a 270-degree counterclockwise rotation about the origin?
What is (2, -3)?
The vertices of Triangle ABC are A(0, 3), B(2, 4), and C(1, 0). Draw Triangle ABC after it has been reflected across the line y=2.
See student work.
The original figure before a transformation.
What is the pre-image?
What is the definition of a vector?
What is a quantity that has both direction and magnitutude?
Find the component form of the vector that translates A(8, -2) to A'(-4, -5).
What is <-12, -3>?
A quadrilateral has vertices at A(1, 2), B(3, 4), C(5, 2), and D(3, 0). After a 180-degree rotation about the origin, what are the coordinates of point B?
What is (-3, -4)?
Graph line segment FG with endpoints F(-2, 3) and G(-1, 4) and its image after it has been reflected across the line y=-x.
See student work.
Name the four types of transformations. Hint: One is not a rigid motion.
What are translation, reflection, rotation, and dilation?
A transformation involving a translation followed by a reflection
What is a glide reflection?
You translate an object 3 units left and 1 unit down. Then, you translate the object 7 units right and 4 units up. Write the rule for the composition as a single transformation.
What is (x,y) --> (x+4, y+3)?
A line segment RS has endpoints R(1, -3) and S(2, -6). What are the coordinates of point R after the following composition: refection in the y-axis, rotation 90 degrees about the origin
What is (3, -1)?
A triangle has vertices A(2, 3), B(5, 7), and C(4,1). If the triangle is first reflected over the line y=x and then the resulting image is reflected over the x-axis, what are the coordinates of the final image of point C?
What is (1, -4)?
The combination of 2 or more transformations to form a single transformation
What is a composition?