Q2 of 76 Page 11

In two triangles ABC and DEF, it is given that ∠A = ∠D, ∠B = ∠E and ∠C = ∠F. Are the two triangles necessarily congruent?

No, the two triangles are not necessarily congruent in the given case as knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.


More from this chapter

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11

Fill in the blanks to make the following statements true:

(i) In a right triangle the hypotenuse is the …….side.


(ii) The sum of three altitudes of a triangle is …… than its perimeter.


(iii) The sum of any two sides of a triangle is ….. than the third side.


(iv) If two angles of a triangle are unequal, then the smaller angle has the …. side opposite to it.


(v) Difference of any two sides of a triangle is ……. than the third side.


(vi) If two sides of a triangle are unequal, then the larger side has ……. angle opposite to it.

 1

In two congruent triangles ABC and DEF, if AB = DE and BC = EF. Name the pairs of equal angles.

 3

If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, ∠C = 75°, DE = 2.5 cm, DF = 5 cm and ∠D = 75°. Are two triangles congruent?

 4

In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?