We came to the conclusion that ΔQRT ≅ ΔSRT is under the side-side-side (SSS) condition.
What accurately does "triangle congruency" mean?
- If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.
- These triangles can be moved, rotated, flipped, and turned to look exactly the same.
- They will coincide if they are repositioned.
- Two triangles are congruent if they satisfy the five congruence conditions.
- They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).
So,
Given: ΔQRS/SRT is isosceles with QR ≅ SR; RT bisects QS at point T.
To prove: ΔQRT ≅ ΔSRT
- QR = SR = Given
- QT = QS = Given: (RT bisects QS at point T)
- RT = RT = Common base
So, we can say that ΔQRT ≅ ΔSRT under SSS condition.
Therefore, ΔQRT ≅ ΔSRT is congruent under SSS condition.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
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