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Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side J L, forming a right angle.

Which similarity statements are true? Check all that apply.


△JKL ~ △KML

△JKM ~ △JKL

△JKM ~ △KML

△JMK ~ △JKL

△JMK ~ △KML

Respuesta :

frika

Answer:

1, 4, 5

Step-by-step explanation:

Consider right triangle JKL with right angle JKL and height KM. This height divides triangle into two right triangles KML and KMJ.

Note that

[tex]m\angle MKL=90^{\circ}-m\angle MLK=m\angle KJM\\ \\m\angle JKM=90^{\circ}-m\angle KJM=m\angle MLK[/tex]

So, by AA theorem, we have three similar triangles

[tex]\triangle JKL\sim \triangle JMK\sim \triangle KML[/tex]

So, options 1, 4 and 5 are true

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