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Triangle QST is isosceles, and bisects T. What is true about QRT? Check all that apply. QRT = 90°

QRT = SRT
QRT STQ
QRT = 2*RTQ
QRT RTQ

User DirtyBit
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2 Answers

5 votes

the answers are QRT = 90°

QRT = SRT


User Animus
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1 vote
Given that triangle QST is isosceles, and bisects T, the line bisecting T also bisects QS.

A line that bisects the other angle of an isosceles triangle, bisects the opposite line at right angle. Therefore, since triangle QST is isosceles, and bisects T, the line bisecting T bisects QS at R and then QRT = SRT = 90 degrees.

QRT cannot be equal to STQ since an isosceles triangle does not have a right angle as QRT is a right angle.

2*RTQ is equivalent to STQ, and it has been established that QRT is not equal to STQ. Thus QRT is not equal to 2*RTQ.

QRT
cannot be equal to RTQ since an isosceles triangle does not have a right angle as QRT is a right angle.

Therefore, the true statements about QRT is QRT = SRT.

User VRVigneshwara
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5.9k points