EveLovely
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Make a conjecture about the diagram below. Do you think you can conclude that △JKL ≅ △XYZ? Explain your reasoning.

Triangles J K L and X Y Z are shown. Angles J K L and X Y Z are right angles. The lengths of J K and X Y are congruent and the lengths of J L and Z X are congruent.

Make a conjecture about the diagram below Do you think you can conclude that JKL XYZ Explain your reasoning Triangles J K L and X Y Z are shown Angles J K L and class=

Respuesta :

Nico123o

Answer:

Yes, you can conclude that ΔJKL ≅ XYZ.

Step-by-step explanation:

I forget how to describe it in geometric terms but, if you read the similarity statement again, and follow each angle, you'll notice that the shapes match, and they correspond to each other, it would be different if it said something like ΔLKJ ≅ XYZ because it does not match.

If you're looking for a specific reason, we'd say that they're congruent because of SAS (Side-Angle-Side)

If this still confuses you, hit me up.

MrRoyal

Conjectures are simply opinions that are formed from incomplete information.

We can conclude that △JKL ≅ △XYZ

From the figure, we have the following highlights

  • Side JL in triangle JKL is congruent to side XZ in triangle XYZ
  • Side JK in triangle JKL is congruent to side XY in triangle XYZ
  • The angle at K in triangle JKL is congruent to the angle at Y in triangle XYZ

The above highlights mean that:

[tex]\mathbf{JL \cong XZ}[/tex]

[tex]\mathbf{JK \cong XY}[/tex]

[tex]\mathbf{\angle K \cong \angle Y}[/tex]

This means that, △JKL and △XYZ are congruent by SAS congruence theorem

Hence, we can conclude that both triangles are congruent.

Read more about similar and congruent triangles at:

https://brainly.com/question/18799165