Lesson 5

Here is Trapezoid A in the coordinate plane:

1. Draw Polygon B, the image of A, using the $y$-axis as the line of reflection.
2. Draw Polygon C, the image of B, using the $x$-axis as the line of reflection.
3. Draw Polygon D, the image of C, using the $x$-axis as the line of reflection.

The point $(\text{-}4,1)$ is rotated 180 degrees counterclockwise using center $(\text{-}3,0)$. What are the coordinates of the image?

A:

$(\text{-}5,\text{-}2)$

B:

$(\text{-}4,\text{-}1)$

C:

$(\text{-}2,\text{-}1)$

D:

$(4,\text{-}1)$

Describe a sequence of transformations for which Triangle B is the image of Triangle A.

Here is quadrilateral $ABCD$.

 

Draw the image of quadrilateral $ABCD$ after each transformation.

1. The translation that takes $B$ to $D$.
2. The reflection over segment $BC$.
3. The rotation about point $A$ by angle $DAB$, counterclockwise.