Lesson 7: Practice Problems

Problem 1

For the figure shown:

Rotate segment $C D$ $180^{\circ}$ around point $D$ .
Rotate segment $C D$ $180^{\circ}$ around point $E$ .
Rotate segment $C D$ $180^{\circ}$ around point $M$ .

A line segment CD with midpoint M and a point off the line, E with is up and to the left of D.

Problem 2

Here is an isosceles right triangle:

Draw these three rotations of triangle $A B C$ together.

Rotate triangle $A B C$ 90 degrees clockwise around $A$ .
Rotate triangle $A B C$ 180 degrees around $A$ .
Rotate triangle $A B C$ 270 degrees clockwise around $A$ .

Right isosceles triangle A B C has horizonatl side A B with point A to the right of B, and has vertical side B C with point C directly above point B.

Problem 3 From Unit 1 Lesson 4

Each graph shows two polygons $A B C D$ and $A^{'} B^{'} C^{'} D^{'}$ . In each case, describe a sequence of transformations that takes $A B C D$ to $A^{'} B^{'} C^{'} D^{'}$ .

Problem 4

Lin says that she can map Polygon $A$ to Polygon $B$ using only reflections. Do you agree with Lin? Explain your reasoning.

Two identical quadrilateral labeled A and B on a square grid are in different orientations and positions. The square grid has 8 horizontal units and 8 vertical units. Starting from the bottom left vertex, polygon A is located 1 unit right and 4 units down from the edges of the square grid. The second vertex is 2 units right and 3 units up from the first vertex. The third vertex is 3 units right and 1 unit up from the first vertex. the fourth vertex is 2 units right from the first vertex. Starting from the bottom vertex polygon B is located 5 units right and 7 units down from the edges of the square grid. The second vertex is 1 unit left and 2 units up from the first vertex. the third vertex is 3 units up from the first vertex. The fourth vertex is 2 units right and 3 units up from the first vertex.