Answer:
A. The triangles are similar because the ratios of the corresponding sides are the same
Step-by-step explanation:
Both ∆sloom similar in shape. Let's find out if they are actually similar.
∆TUV and ∆QRS are similar if the ratio of their corresponding sides are the same all through.
Thus:
TU = 70, QR = 25, UV = 84, RS = 30, TV = 42, QS = 15
If both ∆s are similar, then, TU/QR = UV/RS = TV/QS
TU/QR = 70/25 = 2.8
UV/RS = 84/30 = 2.8
TV/RS = 42/15 = 2.8.
Ratio of corresponding sides is the same, therefore, both triangles are similar.
Therefore, the following statement is true:
A. The triangles are similar because the ratios of the corresponding sides are the same
