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Mathematics

Grade9

Easy

Question

In the given figure, two triangles are similar, then it satisfies

SAS similarity criteria
SSS similarity criteria
AA similarity criteria
Data inadequate

hint Hint:

The SSS criterion for triangle similarity states that if three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.

The correct answer is: SSS similarity criteria

The SSS criterion for triangle similarity states that if three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.

In $triangle$ ABC and $triangle$ SRT
$fraction numerator S R over denominator A B end fraction equals space fraction numerator 3.5 over denominator 7 end fraction space equals 1 half fraction numerator S T over denominator B C end fraction equals space 4 over 8 space equals space 1 half fraction numerator R T over denominator A C end fraction equals space 6 over 12 equals 1 half$

Since the corresponding sides are proportional $fraction numerator S R over denominator A B end fraction equals fraction numerator S T over denominator B C end fraction equals fraction numerator R T over denominator A C end fraction$ = $1 half$
Thus, $triangle$ ABC $approximately equal to$ $triangle$ SRT, by SSS similarity criterion.

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