Side-Side-Side (SSS) congruence criterion — lesson. Mathematics State Board, Class 7.

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Congruence criterion with all

$3$ sides known

SSS congruence criterion holds good if all

$3$ corresponding sides of the triangles are the same.

Now let us try to construct a congruent triangle using SSS congruent criterion.

Consider

$\triangle ABC$ with the dimensions as given in the figure below.

From the figure, it is understood that

$AB = 5 cm$ ,

$BC = 7 cm$ , and

$AC = 4 cm$ .

Our aim is to construct a congruent triangle

$\triangle DEF$ using the

$3$ lengths acquired from the figure.

Step

$1$ : Draw a line segment

$\overline{DE}$ of length

$5$

$cm$ .

Step

$2$ : With

$D$ as centre and with

$4$

$cm$ as radius, draw an arc.

Step

$3$ : With

$E$ as centre and with

$7$

$cm$ as radius, cut the already drawn arc and mark the intersection as

$F$ .

Step

$4$ : Now draw the line segments

$\overline{DF}$ and

$\overline{EF}$ to form the congruent triangle

$\triangle DEF$ .

Did you find an error?

5. Side-Side-Side (SSS) congruence criterion