On a sheet of grid paper, carefully draw two congruent squares at least 4 inches on a side. Next select one of the squares. Use the markings for congruent segments shown on the square below to divide this square into the eight pieces shown.

Color the pieces for the one square as follows: largest triangle - red, the medium-sized triangle - blue, the three smallest triangles - green, the square - yellow, the parallelogram - orange, and the trapezoid - purple. Cut out both squares. Then cut out the eight pieces from the colored square.

Use the whole square and the pieces to determine which portion of the whole square is represented by the colored pieces. Make a table like the one below and fill in the columns. For the green pieces, determine the fraction of the square represented by the total area of the green pieces. Do not round the percents..

Suppose you want to make a circle graph from the data in Step 3. Find the measures of the central angles for each color. Do not round the measures.

Make a circle graph showing the portion of the square represented by each color.

For the graph you made in Step 5, use the categories to identify any arcs that are congruent.

Consider the puzzle pieces by shape. Complete the table using the shapes as the categories.

Using the percents you found in Step 7, find the measures of the central angles for each shape category. Round the measures of the angles to the nearest whole number.

Make a circle graph showing the portion of the square represented by each shape.

For the graph you made in Step 9, use the categories to identify any arcs that are congruent.