# Which line segment has the same measure ST?

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## Question:

Which line segment has the same measure ST?

SR is the line segment has the same measure ST .

Step-by-step explanation:

In the Δ SXR and ΔSXT .

(1) RX = XT

(As given in the figure )

(2) ∠SXR = ∠ SXT = 90°

(As given in the figure)

(3) SX = SX

(Common sides of both triangle )

Thus by using SAS congurence property .

Δ SXR ≅ ΔSXT

Thus

ST = SR

(By using the corresponding sides of the congurent triangle .)

Therefore SR is the line segment has the same measure ST .

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