Lesson 6: Practice Problems

Problem 1

Here is Trapezoid $A$ in the coordinate plane:

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

A coordinate plane with trapezoid A in the first quadrant with vertexes (2, 1), (4, 1), (4, 4), and (2, 3).

Problem 2

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

$(- 5, - 2)$
$(- 4, - 1)$
$(- 2, - 1)$
$(4, - 1)$

Problem 3

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

Triangle A with vertexes ((-1, 0), (-3, 2), and (-2, -4). Triangle B with vertexes ((3, 2), (4, -2), and (5, 4).

Problem 4 From Unit 1 Lesson 2

Draw the image of quadrilateral $A B C D$ after each transformation.

The translation that takes $D$ to $B$ .
The reflection over segment $B C$ .
The rotation about point $A$ by angle $D A B$ , counterclockwise.