Question

1. which of the following is true about the diagram below? a. segments dc and de have the same length b. segments da and de have the same length c. segments ae and ad have the same length d. triangle aeb is isosceles. e. triangle cab is isosceles. 15. mark and list all congruent segments on the following diagram. list any equilateral triangles you

Explanation:

Step1: Recall circle - property

In a circle, if two segments are radii of the same circle or of congruent circles, they are equal in length.

Step2: Analyze segments in the diagram

Let's assume the two circles are centered at the same point. Segments \(DA\) and \(DE\) are radii of the inner - circle. So, \(DA = DE\) by the definition of radii of a circle.

Step3: Check other options

For option a, there is no indication that \(DC=DE\). For option c, there is no evidence that \(AE = AD\). For option d, we cannot assume \(\triangle AEB\) is isosceles from the given diagram. For option e, there is no indication that \(\triangle CAB\) is isosceles.

Answer:

b. Segments \(DA\) and \(DE\) have the same length.