Answer:
A. Similar
Step-by-step explanation:
We are given the measurements of ΔQRS and ΔTUV as,
QR = RS = 4, QS = 2 with ∠Q = ∠S = 76°, ∠R = 28°
TU = UV = 12, TV = 6 with ∠T = ∠V = 76°, ∠U = 28°
Now, we see that,
These triangles have different side lengths. So, option C i.e. same sides is not correct.
Also, they are different in size. So, option D i.e. same size is not correct.
Since, they do not have same size, they cannot overlap each other. Thus, are not congruent. So, option B is also not correct.
Thus, we see that from SAS Similarity and the measurements,
QR = RS = 4 and ∠R = 28°
TU = UV = 12 and ∠U = 28°
Both the triangles are similar to each other.
Hence, option A is correct.
