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The diagram is a straightedge and compass construction. C is the center of both circles.
Which of the following statements must be TRUE by construction? Select all that apply.
A
AB and an have the

The diagram is a straightedge and compass construction C is the center of both circles Which of the following statements must be TRUE by construction Select all class=

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Answer:

The correct options are;

B. AC and AD have the same length

D. Triangle BCE is isosceles

Step-by-step explanation:

From the diagram we have;

B. Segment AC and segment CD are the radii of the same circle with center C and radius AC, therefore, given that the radius of a circle is constant round a circle, we have;

The length of AC = The length of AD

D. In triangle BCE, we have the length of segment CB is equal to the length of segment CE which are both radii of the circle with center C and radius CE, therefore, the triangle BCE has two sides equal which gives triangle BCE is an isosceles, from the definition of isosceles.

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