Answer:
A. Similar
Step-by-step explanation:
We have the measurements of ΔQRS and ΔTUV as follows:
QR = RS = 4, QS = 2 with ∠Q = ∠S = 76°, ∠R = 28°
TU = UV = 12, TV = 6 with ∠T = ∠V = 76°, ∠U = 28°
Now, we observe that,
These triangles feature different side lengths. Therefore, option C, which states same sides, is incorrect.
Also, they differ in size, so option D, which states same size, is not accurate.
As they are not of the same size, they cannot be congruent. Thus, option B is also wrong.
Hence, we see that applying SAS Similarity and the given measurements,
QR = RS = 4 and ∠R = 28°
TU = UV = 12 and ∠U = 28°
The two triangles are similar to one another.
Thus, option A is the correct choice.