Geometry Review Unit 3-Part 1

A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full rotation each hour. How much has the polygon rotated after 7 minutes? (Hint: Smallest angle of rotation is

 $\frac{360}{n}$ , where n is the number of sides.)

•  $14\degree$  

•  $21\degree$  

•  $35\degree$  

•  $42\degree$  

Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270 degrees about the origin?

• (4, 2)

• (2, 4)

• (-4, -2)

• (-2, -4)

A parallelogram is transformed according to the rule

 $\left(x,y\right)\rightarrow\left(x,\ y\right)$ . Which is another way to state the transformation?

•  $R_{0,\ 90\degree}$  

•  $R_{0,\ 180\degree}$  

•  $R_{0,\ 270\degree}$ 

•  $R_{0,\ 360\degree}$  

The image of trapezoid PQRS after a reflection across

 $\overline{WY}$  is trapezoid P'Q'R'S'. What is  $m\angle YXS$ ?

•  $45\degree$  

•  $90\degree$  

•  $180\degree$  

•  $270\degree$  

What are the coordinates of the image of vertex F after a reflection across the line  $y=-x$ ?

• (-1, -3)

• (3, -1)

• (1, 3)

• (-3, 1)

Triangle PQR has vertices P(-2, 6), Q(-8, 4), R(1, -2). It is translated according to the rule  $\left(x,\ y\right)\rightarrow\left(x-2,\ y-16\right)$  . What is the y-value of P'?

• -18

• -16

• -12

• -10

The function rule  $T_{-4,\ 6}\left(x,\ y\right)$  could be used to describe which translation?

• A parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right.

• A rhombus on a coordinate plane that is translated 4 units down and 6 units to the left.

• A trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up.

• A rectangle on a coordinate plane that is translated 4 units to the right and 6 units up.

The figure is an isosceles trapezoid. How many lines of reflectional symmetry does the trapezoid have?

• 0

• 1

• 2

• 3

The image of parallelogram PQRS after a reflection across  $\overline{WY}$  is parallelogram P'Q'R'S'. 

RR' = 12. What is the length of RZ?

• 6

• 12

• 3

• 18

What are the coordinates of the image of vertex D after a reflection across the x-axis?

• (3, -5)

• (-5, -3)

• (-3, 5)

• (5, 3)