The same hemisphere of the moon always faces Earth. Thus, the motion of the moon about Earth for a given time interval can be modeled by a rotation. The center of the rotation is the center of Earth. The angle of rotation is determined by the time interval, given that one journey of the moon around Earth takes about $27 \frac{1}{3}$ days.

What rotation is modeled by the motion of the moon?

A. a circle rotating about its center

B. a circle rotating about a point

C. 2 circles rotating around each other

D. a circle rotating around a circle

What is the image of (6,-2) under the translation (x, y) $\rightarrow$ (x-5, y-8) ?

A. (14,3)

B. (-2,-7)

C. (11,6)

D. (1,-10)

Copy the Venn diagram. Write the exercise number of regular hexagon in the correct region of the diagram.

Graph M N P Q and its image $M^{\prime} N^{\prime} P^{\prime} Q^{\prime}$ for a dilation with center (0,0) and the scale factor given.

M(-1,-1), N(1,-2), P(1,2), Q(-1,3) ; scale factor 2

$\triangle D^{\prime} E^{\prime} F^{\prime}$ is a dilation of triangle D E F with center (0,0). Which of the following statements is not true?

(A) triangle D E F and $\triangle D^{\prime} E^{\prime} F^{\prime}$ are similar.

(B) $m \angle F^{\prime} D^{\prime} E^{\prime}=\frac{1}{3} \cdot m \angle F D E$

(C) The scale factor of the dilaton is 1/3.

(D) $\angle E F D \cong \angle E^{\prime} F^{\prime} D^{\prime}$

For the tessellation shown below, (a) identify a transformation and the repeating figures, and (b) list the symmetries.

What is the image of (1, -6) for a 90$^{\circ}$ counterclockwise rotation about the origin?

F. (6, 1)

G. (-1, 6)

H. (-6, -1)

J. (-1, -6)

Find the image of O(0,0) after two reflections, first across $\ell_1$ and then across $\ell_2.$

$\ell_1$: y=b, $\ell_2$: y=x

Identify the mapping triangle EDC $\rightarrow$ triangle PQM as a reflection, translation, rotation, or glide reflection. Find the reflection line, translation rule, center and angle of rotation, or glide translation and reflection line.

Which statement is true about the figure at the right?...

(A) It has no rotational symmetry.

(B) It has no reflectional symmetry.

(C) It has rotational symmetry with an angle of rotation of $45^{\circ}$.

(D) It has reflectional symmetry with six lines of symmetry.

Copy the Venn diagram. Write the exercise number of regular pentagon in the correct region of the diagram.

Copy the Venn diagram. Write the exercise number of square in the correct region of the diagram.

What is the image of (1,-6) for a $90^{\circ}$ counterclockwise rotation about the origin?

F. (6,1)

G. (-1,6)

H. (-6,-1)

J. (-1,-6)

An equilateral triangle has 4-in. sides. Describe its image for a dilation with scale factor 2.5. Explain your answer.