Please help and give correct answer If AB=3 cm, AC=5 cm, CD=3 cm, and CE=5 cm, what additional information is needed to prove △ABC≅△DEF?

BC=3 cm and AB=3 cm

BC=4 cm and DE=4 cm

BC=5 cm and CE=5 cm

DE=3 cm and CD=3 cm

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.

no

step-by-step explanation:

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true