Question

Please help and give correct answer

Answer 1

Answer:

The correct option is;

BC = 4 cm and DE = 4 cm

Step-by-step explanation:

The given sides parameters are;

In ΔABC

AB = 3 cm

AC = 5 cm

In ΔDEF

CD = 3 cm

CE = 5 cm

We note that the point F on ΔDEF is the same as point C on ΔABC

For the two triangles to be congruent, the third side must be equal hence e have;

Where ∠B = ∠D = 90°

Hence, AC² = AB² + BC²

∴ BC = √(5² - 3²) = 4

Similarly,

CE² = CD² + DE²

∴ DE = √(5² - 3²) = 4

Hence the additional information needed to prove that ΔABC ≅ ΔDEF is BC = 4 cm and DE = 4 cm.