Important Relationships We've Learned about Tranformations

in Math 402


41.)  Always, Sometimes, Never
    a) A rhombus _________ has 2 lines of symmetry.
    b) A pentagon _________ has 5 lines of symmetry.
    c) If you were to draw an irregular octagon, there will _________ be 8 lines of symmetry.
    d) Under a reflection, a point _________ change places.
    e) Under a rotation, of 90 degrees, a point _________ change places.

42.) Consider the following four points A(4,1); B(7,3); C(5,3); D(0,5)
Find the location of each through 0, 90, 180, and 270 degree rotation.
1.  Location of A at 0 degrees rotation:
2.  Location of B at 0 degrees rotation:
3.  Location of C at 0 degrees rotation:
4.  Location of D at 0 degrees rotation:
5.  Location of A at 90 degrees rotation:
6.  Location of B at 90 degrees rotation:
7.  Location of C at 90 degrees rotation:
8.  Location of C at 90 degrees rotation:
9.  Location of A at 180 degrees rotation:
10.  Location of B at 180 degrees rotation:
11.  Location of C at 180 degrees rotation:
12.  Location of D at 180 degrees rotation:
13.  Location of A at 270 degrees rotation:
14.  Location of B at 270 degrees rotation:
15.  Location of C at 270 degrees rotation:
16.  Location of D at 270 degrees rotation:

43.) True or False
    a) An octagon has 45 degrees rotation symmetry.
    b) A figure that has no lines of symmetry does not have rotation symmetry.
    c) A quadrilateral with a pair of sides of equal length has rotation symmetry.
    d) A quadrilateral with two pairs of sides of equal length has rotation symmetry.

 46.) Graph the figure A and its images under three reflections. Write the coordinates for each figure in the chart below. Figure A has vertices at (4, -4), (5, -1), (8, 3), (8, 1), and (9, 0).
Line of Reflection Vertices General
Original (4, -4), (5, -1), (8, 3), (8, 1), (9, 0) (a, b)
x-axis    
y-axis    
y=x line     

Answers

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