Mathematics
Grade9
Easy

Question

From the given diagram below, we can say that triangles ABC and PQR are ________.

  1. Right-angled triangle
  2. Obtuse triangle
  3. congruent
  4. Scalene triangle

hintHint:

In the given question , both triangle full fill the criteria of the congruency
AAS( Two pairs of corresponding angles and one pair of corresponding side are congruent.)

The correct answer is: congruent


    The two triangle have same shape and size.
    In two triangle increment A B C space comma space increment P Q R , we can see that angle A B C approximately equal to angle P Q R,angle A C B approximately equal to angle P R Q and B C approximately equal to Q R.
    So , the two triangle are congruent by AAS rule , where A=angle,
    A =angle,S=side and approximately equal to this sign means congruent.

    Congruent criteria of two triangle are
    1) SSS : Three pair of corresponding sides are congruent.
    2) AAS : Two pair of corresponding angles and one pair of corresponding side are congruent.
    3) SAS : Two pair of corresponding sides and one pair of corresponding angle are congruent.

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