Question

. (02.05 MC) Side AB = 5, side BC = 6, side DE = 5, and side EF = 6. What additional information would you need to prove that ΔABC≅ΔDEF by SSS? (6 points) Side AC is congruent to side DF. Side AC is congruent to side FE. Side BC is congruent to side DE. Side BC is congruent to side ED.

Answer 1

Side AC is congruent to side DF

Explanation:

We are given that

Side AB=5 cm

BC=6 cm

Side DE=5 cm

Side EF= 6cm

We have to find an additional information would need to prove that
by SSS.

When two triangles are congruent by SSS it means three sides of one triangle are congruent to corresponding sides of other triangle.

We have in triangle ABC and triangle DEF

`AB\cong DE=5 cm`

`BC\cong EF=6 cm`

`AC\cong DF`

Then ,
`\triangle ABC\cong \triangle`DEF

Reason: SSS postulates

Answer: Side AC is congruent to side DF