Question

If ∆HON ≅ ∆VIC, which angle is congruent to ∠I?
A. ∠C
B. ∠N
C. ∠O
D. ∠V

Answer 1

To find the angle in ∆VIC congruent to ∠I, we match the corresponding vertices given by the congruency statement ∆HON ≅ ∆VIC, which indicates that ∠O is congruent to ∠I.

Step-by-step explanation:

If ∆HON ≅ ∆VIC, then we look at how the triangles are denoted to determine the corresponding parts. The congruency statement tells us the order of the vertices that correspond:

• ∆H corresponds to ∆V
• ∆O corresponds to ∆I
• ∆N corresponds to ∆C

So if we want to find the angle in ∆VIC that is congruent to ∠I, we see that it's the second letter in both sequences of the congruency statement. Following this pattern, the angle that corresponds to ∠I from ∆HON would be ∠O. Therefore, the correct answer is C. ∠O.