Question

Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.

Answer 1

9514 1404 393

Answer:

no

Explanation:

Triangle ABC has angle measures ...

• A = 18°
• B = 110°
• C = 180° -18° -110° = 52°

Triangle DEF has angle measures ...

• D = 52°
• E = 18°
• F = 180° -52° -18° = 110°

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.