Question

6. In the following pairs of triangles, the lengths of
the sides are indicated along sides. By applying SSS
congruence criteria determine which are congruent.
Also write the result in symbolic form.
​

Answer 1

Answer:

According to SSS criteria, the congruent parts of the triangle are -

AB = DC (4cm)

BC = AD (3cm)

AC = AC (5cm) (both of the triangle i. e. ABC and ADC share a common line)

(as a triangle is congruent by the SSS criteria it means that all the angles are also congruent but there is no mention of angles here)

Hence Δ ABC ~= Δ ADC

Hope this helps.

Have a great day.

Answer 2

Question given :

• In the following pairs of triangles, the lengths of the sides are indicated along sides. By applying SSScongruence criteria determine which are congruent.Also write the result in symbolic form.

Required solution :

According to the given figure in the statement ,

AB = CD = 4 cm

AD = BC = 3 cm

AC = AC = Common

So , therefore by Side Side Side congruency rule we prove the triangles ABC and ADC to be congruent

Thus , $\sf{\pink{\:ABC\:\cong\:ADC}}$

Required extra knowledge :

Some congruency rules are ,

• SSS : Side Side Side
• ASA : Angle Side Angle
• SAS : Side Angle Side
• RHS : Right angle Hypotenuse Side