Mathematics
Grade9
Easy

Question

Can the HL congruence theorem be used to prove the triangles congruent? If so, write a congruence statement.

  1. Yes, increment ABC approximately equal to increment YXW
  2. Yes, increment C B A approximately equal to increment W X Y
  3. Yes, increment B C A approximately equal to increment X Y W
  4. No

hintHint:

In this question, we have to find the congruent statement if angleB = angleX = 90degree, AB = WX = 5cm and AC = WY = 13 cm. As the angle is 90degree and its hypotenuse and  side are equal is given so the triangle will be congruent and to write names of congruent triangles name of corresponding angle must be written in the same sequence.

The correct answer is: Yes, increment B C A approximately equal to increment X Y W


    A s space angle B space equals space angle X space equals 90 degree space comma space A B space equals space W X space equals space 5 c m space left parenthesis s i d e right parenthesis space a n d space A C space equals space W Y space equals 13 c m space left parenthesis h y p o t e n u s e right parenthesis
S o comma space increment B C A space approximately equal to space increment X Y W left parenthesis c o n g r u e n t space b y space H L right parenthesis

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