In triangle PQR, PT is the perpendicular bisector of QR. Show
that triangle PQR is an isosceles triangle.
please l will mark him/her as the Brainliest
Answers
Answer:
Triangle PQR is an isosceles triangle
Step-by-step explanation:
In triangle PQR
PT is the perpendicular bisector of QR.
Therefore Angle PTQ = Angle PTR = 90°
Also Seg QT = Seg RT -------- perpendicular bisector bisects the side QR
Therefore in Triangle PTQ and Triangle PTR
Seg QT = Seg RT
Angle PTQ = Angle PTR ----- Each 90°
Seg PT = Seg PT ------ Common side
therefore Triangle PTQ is congruent to Triangle PTR
Therefore Seg PQ = Seg PR --------- 1 corresponding
sides of congruent triangle
In Triangle PQR
Side PQ = Side PR
When in a triangle two sides are equal it is said to be isosceles triangle
Therefore Triangle PQR is an isosceles triangle --------
from 1
Please mark brainliest as it's the sign that are answers are correct. Thanks