Vocab
Translation
Reflection
Rotation
Grab Bag
100
This is the type of transformation that slides an object a fixed distance in a given direction, without changing its size or shape.
What is translation.
100
Find the coordinates of a figure that is translated 3 units left that starts at (0,0).
What is (-3, 0)
100
The coordinates of X' when XY with X(-3, 1) and Y(-1, 4) is reflected over the x-axis.
What is X'(-3, -1)?
100
This angle of rotation creates the same image if it's rotated clockwise or counterclockwise.
What is a rotation of 180 degrees?
100
Parallel Lines have what kind of slopes?
What is the same or equal
200
A transformation in which a plane figure turns around a fixed center point.
What is a rotation.
200
Find the coordinates of A' if segment AB with A(2, 4) and B(-1, 1) is translated by (x+2, y-5)
What is (4, -1)
200
The coordinates of a reflection over x axis when A(-2, 0), B(1, 3), and C(3, -4)
What is A' (-2,0) B' (1,-3) C 3,4)
200
Find the coordinates of A' and B' when A(-3, -2) and B(-1, 2) are rotated clockwise 180 degrees about the origin.
What is A'(3, 2) and B'(1, -2)?
200
Perpendicular Lines have what kind of slopes?
What are opposite reciprocals
300
A transformation in which each point of the original figure has an image that is the same distance from the line as the original point but is on the opposite side of the line.
What is a reflection?
300
Find the coordinates of X', Y', and Z' when triangle XYZ with X(0,3), Y(3, -2), and Z(4,0) is translated by (x-5, y+1)
What is X'(-5, 4), Y'(-2, -1), and Z'(-1, 1)?
300
The line of reflection when X(-4, 0), Y(-2, -2), and Z(0, -8) is reflected to X'(-2, 0), Y'(-4, -2), and Z'(-6, -8).
What is x=-3?
300
A triangle has corners at the points with coordinates A(4, 7), B(3, 2) and C(5, 1). Find the coordinate of A' after a rotation of 90 degrees clockwise about (6,2)
What is A'(11,4)
300
Give 4 characteristics of a square
1. opposite sides are parallel
2. all sides are congruent
3. all angles are congruent (90)
4. diagonals are congruent
5. diagonals bisect each other
6. diagonals are perpendicular
400
Draw the lines of symmetry on a pentagon.
5 lines of symmetry
400
The coordinate mapping when D(-5, 4), E(-4, 1), and F(-2, 1) are translated to D'(-5,0), E'(-4, -3), and F'(-2, -3).
What is 4 units down
400
The coordinates of a reflection OVER BOTH X and Y AXIS X(-4, 0), Y(-2, -2), and Z(0, -8)
What is X' (4,0) Y' (2,2) Z' (0,8)
400
A triangle has corners at the points with coordinates X(4, 7), Y(2, 7) and Z(4, 2). What are the coordinates of the new triangle after a rotation of 180 counterclockwise about (4,1).
What is X'(4,-5), Y'(6,-5) and Z'(4,0)
400
Find the slope and distance between the points (-2, -3) and (3, 1)
Slope = 4/5
Distance = Square root (41)
500
List all the angles of rotation for an octagon up to 360 degrees.
What is 45, 90, 135, 180, 225, 270, 315.
500
Three key characteristics of a translation
What are points move in the same direction (1) and distance (2) along lines that are parallel (3), causing the pre-image and image to be congruent (4).
500
Three characteristics of a reflection
What are points move across a specified line of reflection (1), so the line of reflection is the perpendicular bisector (2) of each line segment connecting corresponding points. Corresponding points are equidistant to the line of reflection (3). The pre-image and image are congruent (4).
500
Three characteristics of a rotation
All points are rotated about a fixed center of rotation (1), along concentric circles (2), in the same direction (3) by the same angle (4). The pre-image and image are congruent (5).
500
Give 4 characteristics of a parallelogram.
1. opposite sides are parallel
2. opposite sides are congruent
3. opposite angles are congruent
4. diagonals bisect each other