Use the given information and the diagrams provided to complete Exercises 1–4.
1. Given: X, Y, and Z are the midpoints of the sides of DABC.
Find the ratio of the area of DABC
to the area of DXYZ.
2.
Given: W, X, Y, and Z are the midpoints of the sides of square ABCD.
Given: W, X, Y, and Z are the midpoints of the sides of square ABCD.
Find the ratio of
the area of ABCD to the area of WXYZ.
3. Given: R, S, T, U, V, and W are midpoints of the sides of regular
hexagon ABCDEF.
Find the ratio of
the area of ABCDEF to the area of RSTUVW.
4. Predict how the ratio of areas will change as the number of sides of the polygon
increases.
