Question

How do I find whether questions 1-4 are congruent by SSS (Side-Side-Side) or SAS ( Side-Angle-Side).

Answer 1

Let's define each postulate congruence, that way you'll know when to use each of them.

• Side-Side-Side postulate (SSS) states that two triangles are congruent if they have all three corresponding sides congruent.

,

• Side-Angle-Side postulate (SAS) states that two triangles are congruent if they have two pairs of congruent sides and the pair of angles in the middle of those sides are also congruent.

Having said that, we can deduct that 1 and 3 are congruent by SAS because they have two corresponding sides congruent and the angles in the middle of those sides are also congruent.

`\begin{gathered} \Delta QYT\cong\Delta CKP \\ \Delta JMK\cong\Delta LKM \end{gathered}`

The triangles in number 2 are congruent by Side-Side-Side (SSS) because all three corresponding sides are congruent.

`\Delta ADC\cong\Delta CBA`

The last part, number 4, it can't be proven by SSS or SAS because they don't have all sides congruent and the given congruent angle is not between the congruent sides.