Reflections Rotations Translations and Symmetry

How many lines of symmetry does this shape have?

• 1
• 2
• 4
• 6

Which of the following letters does not have a line symmetry, but has a rotational symmetry:

• H
• I
• Z
• X

For this equilateral triangle, what is the order and degree of rotation?

• order 3, degrees 120°

• order 2, degrees 180°

• order 4, degrees 90°

• order 6, degrees 60°

Which letter does not have point symmetry?

• I
• O
• T
• S

Determine where X' would be if you translated X 3 units to the left and 9 units down.

• (-4, 4)
• (-10, 2)
• (-4, -5)
• (-1, 5)

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8
• up 9, left 4
• down 3, right 8
• down 9, right 4

Which is the correct rule if you wish to translate triangle A'B'C' to triangle ABC. *Careful here-order matters!!

• (x+2, y-5)

• (x+2, y-9)

• (x-2, y-9)

• (x-2, y+9)

Write the rule for this translation:
Slide 3 up and 2 right

• (x, y)---->(x + 3, y + 2)
• (x, y)-----> (x+2, y + 3)
• (x, y)----> (x - 2, y + 3)

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

If the dotted figure is the image, the original figure was reflected over the ...

• x-axis
• y-axis