Dilations
Translations
Rotations
Reflections
Symmetry
100
What is a dilation?
a transformation in which a figure stretches or shrinks with respect to a fixed point, called the center of dilation
100
What is a translation
a translation is a transformation in which each point of a figure is the same distance in thee same direction. In a translation, a figure and its image are cocngruent
100
What is a Rotation?
A rotation is a transformation in which a figure is turned about a fixed point called the center of rotation.
100
What is a reflection?
A reflection is a transformation in which a figure is reflected, or flopped, in a line,called the line of reflection
100
What is line symmetry?
A figure as line symmetry if a line, called the line of symmetry, divides the figure into to parts that are reflections of each other in the line. A figure may have more than one line of symmetry
200
Let P(2,3) be a point on a figure. The figure is dilated by a scale factor of 4. What are the coordinates of P'
P' is (8,12)
200
Describe the translation (x,y)->(x+3,y-7) in words.
3 units right,7 units down
200
What would (9,7) turn into after a 180 degree rotation?
it is (-9,-7)
200
ABC has vertices A(4, -1), B(9, -1), and C(2, -7). Find the coordinates of the vertices of the image after a reflection in the x-axis.
A'(4, 1); B'(9, 1); C'(2, 7)
200
look up the flag of Puerto Rico on your electronic device or on the computer, how many lines of symmetry does it have?
no lines of symmetry
300
Quadrilateral ABCD has vertices A(-5, -5), B(0, 1), C(5, 3), and D(7, 0). Find the coordinates of the vertices of the image after a dilation having a scale factor of 3.
A'(-15,-15)B'(0, 3), C'(15, 9), D'(21, 0)
300
What is a tessellation?
A tessellation is a covering of a plane with a repeating pattern of one or more shape.
300
what is (6,7) after a 90 degree counter-clockwise rotation?
it would become (-7,6)
300
ABC has vertices A(1, -2), B(7, -2), and C(3, -8). Find the coordinates of the vertices of the image after a reflection in the x-axis.
A'(1, 2); B'(7, 2); C'(3, 8)
300
How many lines of symmetry does the New Mexico flag have?
2 lines of symmetry
400
A side of a figure has coordinates (-3, 3) and (2, 3). The corresponding side of the image has coordinates (-12, 12) and (8, 12). What is the scale factor of the dilation?
the Scale factor is 4
400
The polygon JKMN has vertices J(-7, 4), K(-5, 3), M(3, 3), and N(3, -3). Find the coordinates of the vertices of the image after the translation (x, y)-> (x - 2, y)
J'(-9,4) K'(-7,3) M'(1,3) N'(1,-3)
400
what would (-10,15) become after a 90 degree clockwise rotation?
it would be (15,10)
400
ABC have vertices A(-4, 4), B(-8, 4), and C(-5, 9). Reflect triangleABC in the y-axis, then reflect its image in the x-axis. What are the coordinates of the vertices of the final image?
A'(4, -4), B'(8, -4), C'(5, -9)
400
How many lines of symmetry dues a square have
4 lines of symmetry
500
An artist uses a computer program to enlarge a design. The width of the original design is given by coordinates (2, 1) and (7, 1) and the width of the image is given by coordinates (10.4, 5.2) and (36.4, 5.2). What is the scale factor of the dilation?
the scale factor is 5.2
500
Describe how the translations (x,y)->(x+3,y+2) and (x,y)->(x-3,y+2) are different
they are different because the first one is 3 units right, 2 units up and the 2nd one is 3 units left, 2 units up
500
ABC has vertices A(1, 3), B(1, 5), and C(6, 5). Find the coordinates of the vertices of the image after a 90 degree counterclockwise rotation.
A'(-3,1) B'(-5,1) C'(-5,6)
500
ABC with the vertices A(-5,-1) B(-4,3) C(0,2)
A'(5,1) B'(4,3) C(0,2)
500
What is Rotational Symmetry?
A figure has rotational symmetry if a rotation of 180 degrees or less clockwise(or counterclockwise) about its center produces an image that fits exactly on the original figure