Question

2 problem 1 select all statements that must be true by construction. a segments ab and ad have the same length. b segments ac and ad have the same length. c segments ac and cd have the same length.

Explanation:

Step1: Recall circle - property

In a circle, all radii are of equal length. If point \(C\) is the center of the inner - circle and \(A\) and \(D\) are points on the inner - circle, then \(AC\) and \(CD\) are radii of the inner - circle.

Step2: Analyze each option

• Option A: There is no indication from the construction that \(AB\) and \(AD\) are related in length.
• Option B: There is no indication from the construction that \(AC\) and \(AD\) are related in length.
• Option C: Since \(AC\) and \(CD\) are radii of the same circle (the inner - circle with center \(C\)), they have the same length.

Answer:

C. Segments \(AC\) and \(CD\) have the same length.