Question

Can you use the perpendicular bisector theorem to solve for RS? a)yes b)no

Answer 1

Answer: YES! (Option A)

Reasoning:

• A bisector is a Geometric figure line or line segment that intersects a line or shape at the midpoint and divides it into 1/2 or a 1:1 ratio.

• Therefore, a perpendicular bisector is a bisector that intersects a Geometric figure at 90°.

• Because a bisector divides a figure into two equal parts, a perpendicular bisector splits a figure into two congruent parts with a 90° intersection.

• Therefore, with perpendicular bisector RT, segments UR and RS are congruent.

• So, segment UR = 17, which means that segment RS = 17 because the bisector splits it into two halves or congruent parts.