Question

SA is the perpendicular bisector of TR. m∠TSR=120 Which other statement is true?

Answer 1

The answer that best fits the question above is Answer number "4" or "TR is the perpendicular bisector of SA"

Hope this helped!

Answer 2

Answer with explanation:

Given: SA is the perpendicular bisector of TR. m∠T SR=120°.

Solution:

Let Diagonal , SA and RT intersect at point O.

  In Δ S R O and Δ S TO

    R O=TO=8 ft

∠SOT=∠S OR=90°----------[Given]

Side, SO is Common.

⇒Δ S R O ≅ Δ S TO-----[S A S]

∠T SA=∠R SA-----[C PCT]

But ,∠T SR=120°------[Given]

∠T SA+∠R SA=120°

2∠T SA=120°

∠T SA =60°

∠T SA =∠R SA=60°

SA is the angle bisector of ∠TSR.

⇒⇒Similarly,Using S AS

  Δ RA O ≅ Δ TAO

And, ∠T A O=∠R A O-----[C PCT]

SA is the angle bisector of ∠TAR

Also, SA is the perpendicular bisector of TR.

⇒  ∠SOT=∠S OR=90°

⇒∠R O A=∠A OT=90°, because SA is a line.

∠S OR +∠R O A=180°-------[By Linear Pair]

which gives, ∠R O A=90°=∠A OT

 Option C:⇒SA is the angle bisector of ∠TAR