Mathematics
Grade9
Easy
Question
In the given figure, two triangles are similar as they satisfy
- SAS similarity criteria
- SSS similarity criteria
- AA similarity criteria
- Data inadequate
Hint:
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
The correct answer is: SAS similarity criteria
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
In 
BEA and CED
(Equal Sides)
BEA = CED ( Vertically Opposite Angles)
BEA 
CED, by SAS similarity criterion.
and 
, then by SAS similarity criteria
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