Answered

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PLS HELP IM SO CONFUSED


The student says that the proof shows that AOM BOM because they are vertical angles.
Which statement best corrects the student's interpretation?
A. CON = BOM because they are vertical angles.
B. AOM = BOM because they are supplementary, not because they are vertical angles.
C. AOM = BOM because they are complementary, not because they are vertical angles.
D. AOM = BOM because they are both congruent to the same angle, not because they are vertical angles.

Sagot :

∠AOM ≅ ∠BOM  because they are both congruent to the same angle, not because they are vertical angles.

How to Identify Congruent Angles?

From the image of the angles attached, we are given that;

∠AOM ≅ ∠DON

Now, from the vertical angle theorem, we can say that;

∠AOM ≅ ∠CON

Similarly, by vertical angles theorem, we can also say that;

∠BOM ≅ ∠DON

From transitive property of congruence, we can equally say that since ∠AOM and ∠BOM are equal to the same angle, then;

∠AOM ≅ ∠BOM

From transitive property of congruence, we can equally say that since ∠CON and ∠BOM are equal to the same angle, then;

Read more about Congruent Angles at; https://brainly.com/question/24839702

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