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Q.

IfQuestion Imagethen determine which side ofQuestion Imageis congruent to BC.


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a

YZ

b

XY

c

ZX

d

None of the above 

answer is A.

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Detailed Solution

Concept- When two triangles are congruent, their three sides and three angles are equal. In order to understand the meaning of congruent in this question, we will use the concepts of rotation, reflection, and translation.
In this question, we are givenQuestion Image.
It indicates that shapes can change into one another by using turns, flips, or slides.
Turning, flipping, or sliding are actions we can perform. The following provides a graphical
Rotation:
Question ImageReflection:
Question ImageTranslation:
Question ImageAccording to the definition of congruence, two triangles that are congruent will have exactly the same three sides and three angles.
By the triangles' congruence property, it is then clear thatQuestion Image.
In both triangles, the corresponding sides areQuestion ImageandQuestion Image.
The triangle's Question Imageside is the last corresponding side.
Finding the side in the problem that corresponds to side BC in the ABC is our main objective
We can conclude that BC is congruent with side YZ becauseQuestion Image.
Hence, the correct answer is option 1.
 
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