Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate

Question

3 years ago

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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.

Mathematics

1 answer:

Mamont248 [21] · Answer 1 · 2021-12-06T06:50:13+03:00

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.