Answer :
Final answer:
To prove triangle STW is congruent to triangle VUW, we use the Side-Side-Side (SSS) Congruence. With given that ST = VU and both triangles share side W, we infer that SW = UW. Since they also share a common side WT, we can say ST=VU, SW=UW, WT=WT, fulfilling SSS congruence and proving STW is congruent to VUW.
Explanation:
To Prove that triangle STW is congruent to triangle VUW, we can apply a set of congruence axioms called Side-Side-Side (SSS) Congruence.
From the question, we know that:
- Segment line ST is parallel to segment line UV
- Segment line ST is congruent to segment line VU (ST = VU)
Since the triangles share a side segment line W, we can conclude that segment line SW is congruent to segment line UW (SW = UW).
Now, we have:
- ST = VU (given)
- SW = UW (inferred from the shared side)
- WT = WT (common side to both triangles)
With these we have fulfilled the SSS Congruence condition (ST=VU, SW=UW, WT=WT), hence proving that triangle STW is congruent to triangle VUW.
Learn more about Triangle Congruence here:
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