Step | Example | Description |
---|---|---|
1 | Start with rectangle ABCD. | |
2 | Draw the midpoint of one of the sides. In this case, the midpoint of AB is drawn. Label the midpoint E. See Bisecting a Line Segment for information on finding the midpoint of a line segment and drawing the perpendicular bisector of a line segment. | |
3 | Draw midpoint of an adjacent side. In this case, the midpoint of BC is drawn. Label the midpoint F. | |
4 | Draw a line through E perpendicular to AB. | |
5 | Draw a line through F perpendicular to BC. | |
6 | Label the intersection of the two perpendicular lines G. | |
7 | Draw a circle with center at G and radius of GA. | |
Understanding CheckUse the GeoGebra application below to construct the circumscribing circle about the rectangle.
To change the manipulative, first click on the arrow menu button. Then click on the blue points and drag them to change the figure. | ||
Table 2: Circumscribing a circle about a rectangle. |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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