BRAINLIEST!! HELP!! Identify the congruent triangles in the figure.
What is the missing reason in line 5 of the two column proof below?

Question

02-08-2024
Mathematics

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BRAINLIEST!! HELP!! Identify the congruent triangles in the figure.
What is the missing reason in line 5 of the two column proof below?

Sagot :

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KitdaAneekidn KitdaAneekidn · Answer 1 · 2024-08-02T12:29:44-04:00

Answer:

5: Reason: Vertical angles are congruent.

Step-by-step explanation:

Vertical angles are the angles opposite each other when two lines intersect. They are also known as vertically opposite angles and their angular values are equal.

The lines MO and JL intersect at point K, forming four angles around K.

[tex]\text{ The pairs of vertical angles formed by the intersection at point $ K $ are:}\\\\~~~~~- $ \angle OKM $ and $ \angle LKJ $\\[/tex]

[tex]~~~~~ - $ \angle MKJ $ and $ \angle OKL $[/tex]

By the vertical angle theorem, we know that vertical angles are always congruent.

Therefore, the reason "Vertical angles are congruent" correctly justifies why these two angles are congruent.

Sagot :

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