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30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule.

30 POINTS BRAINLIEST PLEASE HELP ASAP Complete each congruency statement and name the rule used If you cannot show the triangles are congruent from the given in class=

Respuesta :

xKelvin

Answer:

CNBD

Step-by-step explanation:

From the diagram, we can see that:

[tex]\displaystyle BL\parallel CA[/tex]

Then by Alternate Interior Angles:

[tex]\angle LBA\cong \angle CAB\text{ and } \angle BLC\cong \angle ACL[/tex]

From vertical angles, we also know that:

[tex]\displaystyle \angle BKL\cong \angle AKC[/tex]

This is all we can gather from the given image. Knowing only three pairs of angles cannot prove congruence, as proving congruence requires at least one side.

Congruence cannot be determined.

Corsaquix

Answer:

Cannot be determined

Step-by-step explanation:

With BL and AC being parallel, we can deduce that the two triangles in question share all three of their angles. However, there is no information given that implies any of the sides are equal. AAA (Angle-Angle-Angle) is a proof of similarity, but not congruence, therefore the two triangles cannot be determined to be congruent.