6. Becky was asked to partition a rectangle into 4 equal pieces and to shade one of those pieces. Figure 12.30 shows her solution. Is Becky right or not? Explain your answer. Figure 12.30

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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6. Becky was asked to partition a rectangle into 4 equal pieces and to shade one of those pieces. Figure 12.30 shows her solution. Is Becky right or not? Explain your answer.

**Analysis of Figure 12.30:**

In Figure 12.30, the rectangle is divided by two diagonal lines that intersect at the center. This division results in four triangular sections. One of these triangles is shaded. 

**Explanation:**

For the rectangle to be divided into four equal pieces, each section must have the same area. Since the diagonals of a rectangle intersect at the midpoint and divide it into four triangles of equal area, Becky is correct. The shaded triangle represents one of these four equal pieces.
Transcribed Image Text:6. Becky was asked to partition a rectangle into 4 equal pieces and to shade one of those pieces. Figure 12.30 shows her solution. Is Becky right or not? Explain your answer. **Analysis of Figure 12.30:** In Figure 12.30, the rectangle is divided by two diagonal lines that intersect at the center. This division results in four triangular sections. One of these triangles is shaded. **Explanation:** For the rectangle to be divided into four equal pieces, each section must have the same area. Since the diagonals of a rectangle intersect at the midpoint and divide it into four triangles of equal area, Becky is correct. The shaded triangle represents one of these four equal pieces.
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