We can say that ΔRUQ ≅ ΔTUS under RHS condition.
What exactly does this mean by the congruency of a triangle?
- 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: RQ ≅ ST and RQ || ST
To Prove: ΔRUQ ≅ ΔTUS
- ∠RUQ = ∠SUT = (Inversely proportional)(RHS)
- RQ = ST = (Given: parallel and as ∠U is same in front of the lines, so the lines will also be same)
- So, RU = TU = (RHS condition)
So, we can say that ΔRUQ ≅ ΔTUS under RHS.
Therefore, ΔRUQ ≅ ΔTUS.
Know more about the congruency of a triangle here:
brainly.com/question/2938476
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