Question

What additional piece of information is needed to show triangle ABC is congruent to triangles DEF by SSS.

Answer 1

SOLUTION

Given the question in the image, the following are the solution steps to get the correct piece of information needed

Step 1: Define the SSS postulate

If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent. We can determine that the three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step 2: Find the correct statement

From the image, the following can be seen:

$\begin{gathered} AB\cong ED\text{ (given)} \\ AC\cong FD(given) \\ BC\cong EF \\ By\text{ SSS postulate }ABC\cong DEF \end{gathered}$

Hence, it can be deduced from above that the correct piece of information needed to use the SSS postulate is:

$BC=EF$