Question

Which descriptions from the list below accurately describe the relationship between QRS and TUV

Answer 1

Answer is A. similar

hope it helps

Answer 2

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.