Consider the diagram. Which line segment has the same measure as TQ.

Mathematics

2 answers:

Arlecino [84]3 years ago

9 0

Answer:

Step-by-step explanation:

Ostrovityanka [42]3 years ago

6 0

First assume that O be the point where the line segment ST and QR intersect eachother.

Given

with the help of the diagram

OQ = OR

∠QOT = ∠TOR =∠ ROS = ∠SOQ = 90°

First prove that ΔTOQ and Δ TOR is congurent triangle.

in Δ TOQ and ΔTOR

(1) QO = OR (As given in the diagram )

(2) ∠ TOQ = ∠TOR = 90°

(3) TO =TO (Common side of both triangle)

by using the SAS congurence property

ΔTOQ ≅ ΔTOR

thus

TQ = TR

(By corresponding sides of the congurent triangle)

We get

TR is line segment has the same measure as TQ.

Hence proved

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