Question

practice 4 (from unit 1, lesson 4)
d, r, t and v are the centers of the four circles.
which line segment is congruent to vs?
a ts
b tu
c ru
d sr

Explanation:

Step1: Recall Congruent Segments in Circles

In a diagram with multiple circles sharing the same radius (since \(D\), \(R\), \(T\), \(V\) are centers), the distance between centers (or radii) should be equal. \(VS\) is a radius (or segment between centers) of one circle. We check each option:

• \(TS\): Not congruent as per circle radii.
• \(TU\): \(TU\) is a radius (or segment between centers) of a circle with the same radius as \(VS\) (since all circles seem to have equal radii, so segments between centers of equal - radius circles are congruent).
• \(RU\): Not congruent as per the circle structure.
• \(SR\): Not congruent as per the circle structure.

Answer:

B. \(TU\)