Question

(From Unit 1, Lesson 7.)
7. This diagram is a straightedge and compass
construction. Is it important that the circle with center B
passes through D and that the circle with center D
passes through B? Show or explain your reasoning.
(From Unit 1, Lesson 5.)
ON
D
n

Answer 1

Answer:

The Distance from the center ( B ) of the smaller circle to its edge is the radius of the circle therefore  length BD = length AB

From the given diagram

The center of the bigger circle is at C while

The center of the smaller circle is at point B .

The smaller circle cuts through the bigger circle creating two segments BD and AB which starts from the middle of the smaller circle to the intersecting edges of the circles.

Hence the length of segment BD = length of segment AB because they both start from point B .

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