Question

For the following statement, state whether true (T) or false (F):

In a ΔABC, AB = 6 cm, ∠A = 45° and AC = 8 cm and in a ΔDEF, DF = 9 cm, ∠D = 45° and DE = 12 cm, then ΔABC ∼ ΔDEF.  

Answer 1

This statement is false.

Explanation:

In ΔABC, AB = 6 cm, ∠𝐴=45° 𝑎𝑛𝑑 𝐴𝐶=8 𝑐𝑚 𝑎𝑛𝑑 𝑖𝑛 Δ𝐷𝐸𝐹,𝐷𝐹= 9 𝑐𝑚,∠𝐷=450 𝑎𝑛𝑑 𝐷𝐸=12 𝑐𝑚,𝑡ℎ𝑒𝑛 Δ𝐴𝐵𝐶 ~ Δ𝐷𝐸𝐹.
In ΔABC and ΔDEF