Question

6. Two equilateral triangles are congruent when
(a) their angles are equal
(c) their sides are proportional
(b) their sides are equal
(d) their areas are proportional.​

Answer 1

Answer:

Step-by-step explanation:

Given that,

Two equilateral triangles are congruent when

(a) their angles are equal

(c) their sides are proportional

(b) their sides are equal

(d) their areas are proportional.​

So,

When two equilateral triangles are congruent then their corresponding sides and their corresponding angles are equal.

Therefore , option (a) their corresponding sides are equal   And (c) their corresponding angles are equal.

Condition of congruency of a triangle

Condition for Congruence of triangles:

→Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

→ These triangles can be slides, rotated, flipped and turned to be looked identical.  They coincide with each other.

THANKS.

#SPJ3.

https://brainly.in/question/22144444

Answer 2

According the question, we have to find out the condition under which two equilateral triangles will be congruent .

Four conditions are given here, two equilateral triangles are congruent when

(a) their angles are equal                        (given)

(b) their sides are equal                           (given)

(c) their sides are proportional               (given)

(d) their areas are proportional.​              (given)

Condition of congruency of two triangles.

• →Two triangles are said to be congruent if all three corresponding sides are equal
• All the three corresponding angles are equal in measure.
• These triangles can be slides, rotated, flipped and turned to be looked identical.
• They coincide with each other.

It is known to us, that:-

When two equilateral triangles are congruent

• their corresponding sides are equal.
• their corresponding angles are equal.

Hence option  (a) their corresponding angles are equal.

               (b) their corresponding sides are equal . both are correct options.

Ans :- Option

          (a) their corresponding angles are equal.

           (b) their corresponding sides are equal . are correct options.

#SPJ3