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Are these triangles similar? if so, what postulate or theorem justifies that they are similar?

Are these triangles similar? if so, what postulate or theorem justifies that they-example-1

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Answer:

Yes The triangles are similar by SAS Similarity Theorem

Explanation:

we know that

Side-Angle-Side Similarity, states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar

In this problem

Angle L is congruent with Angle Z

so

Verify if the included sides are proportional

so


(LJ)/(ZY)=(KL)/(XZ)

substitute the values


(3)/(1.5)=(4)/(2)


2=2 -----> is true

therefore

The triangles are similar by SAS

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