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What proportional segment lengths verify that XZ¯¯¯¯¯∥PQ¯¯¯¯¯ ?

Fill in the boxes to correctly complete the proportion.

HELP ASAP will give brainliest to best answer What proportional segment lengths verify that XZPQ Fill in the boxes to correctly complete the proportion class=

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calculista

Answer:

[tex]\frac{16}{21}=\frac{8}{10.5}[/tex]

or

[tex]\frac{16}{8}=\frac{21}{10.5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar then the ratio of its corresponding sides is proportional

In this problem

triangle YPQ and triangle YXZ are similar by AA Similarity Theorem

so

[tex]\frac{YP}{YX}=\frac{YQ}{YZ}[/tex]

substitute the given values

[tex]\frac{16}{21}=\frac{8}{10.5}[/tex]

Rewrite

[tex]\frac{16}{8}=\frac{21}{10.5}[/tex]

The boxes should be filled with [tex]\frac{16}{21} = \frac{8}{10.5}\\\\\frac{16}{8} = \frac{21}{10.5}[/tex]

  • The calculation is as follows:

As we know that

In the case when two figures are similar so the ratio of its corresponding sides is proportional

In this given situation  

triangle YPQ and triangle YXZ are similar by AA Similarity Theorem

So,

[tex]\frac{YP}{YX} = \frac{YQ}{YZ}[/tex]

[tex]\frac{16}{21} = \frac{8}{10.5}\\\\\frac{16}{8} = \frac{21}{10.5}[/tex]

It can be any of the both.

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