Question

If ∠D = ∠L, ∠E = ∠M then, ∆DEF & ∆LMN are similar according to which test? a) AAA test b) AA test c) SAS test d) SSS test ?​

Answer 1

Answer:

AAS (or SAA) test :

The sum of the measures of angles in a triangle is 180

∘

. Therefore, if two corresponding pairs of angles in two triangles are congruent, then the remaining pair of angles is also congruent. Hence, if two angles and a side adjacent to one of them are congruent with corresponding parts of the other triangle then the condition for ASA test is fulfilled. So the triangles are congruent.

Answer

SSS (side side side) Test : All three corresponding sides are equal in length.

SAS (side angle side) Test : A pair of corresponding sides and the included angle are equal.

ASA (angle side angle) Test : A pair of corresponding angles and the included side are equal.

AAS (angle angle side) Test : A pair of corresponding angles and a non-included side are equal.

HL (hypotenuse leg of a right triangle) Test : Two right triangles are congruent if the hypotenuse and one leg are equal.