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Based on the given information, what can you conclude, and why? Given: <H congruent to <L; Line HJ congruent to Line JL

A. <HIJ congruent to <LKJ by ASA
B. <HIJ congruent to <JLK by SAS
D. <HIJ congruent to <LKJ by SAS

Based on the given information what can you conclude and why Given ltH congruent to ltL Line HJ congruent to Line JLA ltHIJ congruent to ltLKJ by ASAB ltHIJ con class=

Respuesta :

answers B. <HIJ congruent to <JLK by SAS and D. <HIJ congruent to <LKJ by SAS are both incorrect. So that means the answer is A. <HIJ congruent to <LKJ by ASA. I just took the quiz twice and got it wrong twice.




MrRoyal

Similar triangles may or may not be congruent.

The true statement is: A. <HIJ congruent to <LKJ by ASA

The given parameters are:

[tex]\mathbf{\angle H \cong \angle L}[/tex]

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

The above highlights imply that:

[tex]\mathbf{\angle J \cong \angle J}[/tex]

This means that, the angle at point J in both shapes are also congruent.

By that, the two shapes have two congruent angles and one congruent side.

So, we can conclude that, triangles HIJ and LKJ are congruent by ASA theorem of similar triangles

Hence, (a) is true

Read more about similar and congruent triangles at:

https://brainly.com/question/19589236

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