Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
its center. She will then perform the following steps. Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B. Step 2: Draw a second diameter through the center. Label the points at which the second diameter touches the circle as C and D. Step 3: Join the end points of the two diameters to form a square. What is the error in Lara's construction?3.
In Step 2, Lara did not ensure that the second diamter was perpendicualr to the first diameter she drew.
The correct steps should be:
Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B.
Step 2: Draw a second diameter <em>perpendicular to the first diameter</em>. Label the points at which the second diameter touches the circle as C and D.
Step 3: Join the end points of the two diameters to form a square.
