# Lesson 6

Describing Transformations

Let’s transform some polygons in the coordinate plane.

### Problem 1

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.

### Problem 2

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:

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

### Problem 3

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

### Problem 4

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.
(From Unit 1, Lesson 2.)