Name _______________________________________ Period ___________________ Score _________________
For full credit you will show all work.
Geometry Cumulative Review 33
4. Which of the following is NOT true?
a. A regular hexagon has rotational symmetry and
always has line symmetry.
b. A triangle has rotational symmetry and always
has line symmetry.
c. A rectangle has rotational symmetry and
always has line symmetry.
d. A parallelogram has rotational symmetry and
may have line symmetry.
1. Graph DEF with vertices
D ÁÊË 0, 3˜ˆ¯ , E ÁÊË 4, 3 ˜ˆ¯ , and F ÁÊË 0, 7 ˜ˆ¯ . Then graph its
image after a 180° rotation and this
translation ÁÊË x, y ˜ˆ¯ → ÁÊË x − 1, y − 1 ˜ˆ¯ .
5. During ceramics class, Susan painted plates for her
mother. Which design exhibits rotational
symmetry?
a.
b.
2. Graph the image of ∆ABC after the glide reflection
described.
Translation: ÁÊË x, y ˜ˆ¯ → ÁÊË x, y − 2 ˜ˆ¯ ; Reflection: in
c.
x=1
d.
6. Identify the transformation ∆ABC → ∆A′B ′C ′ .
Give your answer using vector notation.
3. The point P (–3, 7) is reflected in the line y = x.
What are the coordinates of P ′ ?
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8. Find the value of each variable.
7. Which of the following is not a rotation of the
figure?
a.
Figure 1:
b.
Figure 2:
x = _____________ and y = ____________
9. How many lines of symmetry does a regular
hexagon have? Sketch the symmetry lines on the
figure below.
c.
Figure 3:
d.
Figure 4:
10. Draw the image of the given figure after a dilation
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with center O and the scale factor of .
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e.
Figure 5:
Essay Question (5 points):
To receive full credit, you will write clearly and legibly, and use complete sentences in paragraph form.
11. Discuss each of the possible answers for Question #4, explaining why you did or did not choose each one.
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