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hjlf
3 years ago
9

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

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

Yes The triangles are similar by SAS Similarity Theorem

Step-by-step explanation:

we know that

<u>Side-Angle-Side Similarity,</u> 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

\frac{LJ}{ZY}=\frac{KL}{XZ}

substitute the values

\frac{3}{1.5}=\frac{4}{2}

2=2 -----> is true

therefore

The triangles are similar by SAS

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