Mathematics
Grade9
Easy

Question

We want to show that increment A R T space equals space increment P E N. We have to use SAS criterion. We have angle T space equals space angle N, RT = EN, then____________.

  1. PN = AT
  2. PN = AR
  3. PN = RT
  4. None of these

hintHint:

Recall about SAS congruence.

The correct answer is: PN = AT


    H e r e comma
increment A R T space approximately equal to space increment P E N
angle T space equals angle N
R T space equals space E N


    I n space S A S space c o n g r u e n c e comma space t w o space s i d e s space a n d space o n e space a n g l e space i n c l u d e d space o f space o n e space t r i a n g l e space a r e space c o n g r u e n t space t o space o t h e r space t r i a n g l e apostrophe s space t w o space s i d e space a n d space o n e space a n g l e.

H e n c e comma
A T space equals space P N

    SAS congruence is the term which is also known as Side Angle Side congruence. In this, triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles. 
     

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