PLEASE HELP ASAP, ANSWER CORRECT TO GET BRAINLIEST, 50 POINTS

Below is a typical Geometric Two-Column Proof that you will be able to complete by the end of your Geometry course. But right now you only have a few postulates and theorems in your Geometry toolbox. Using what you already know about the Vertical Angles Theorem, fill in Step 3 of this proof.


A. ∠A≅∠D


B. ∠AMB≅∠DMC


C. ∠ABM≅∠DCM


D. ∠C≅∠B

PLEASE HELP ASAP ANSWER CORRECT TO GET BRAINLIEST 50 POINTSBelow is a typical Geometric TwoColumn Proof that you will be able to complete by the end of your Geo class=

Respuesta :

Answer:

the answer is B.

Step-by-step explanation:

since the M is the middle point of the angles AB and DC.

we just add the M in the middle.

also i did the test and got it right, soooo im 100% sure its B

This is about understanding vertical angles theorem.

Option B is Correct

  • Vertical angles theorem is an angle theorem that states that when two lines intersect each other, the two opposite vertical angles formed will always be congruent i.e equal to each other.

  • Looking at the image, we can see that the two lines that intersect each other are Line AD and Line BC.

The two opposite angles they form are; ∠AMB and ∠DMC.

  • Now, from the vertical angles theorem quoted above, we can say that;

∠AMB is congruent to ∠DMC.

The congruency symbol is ≅.

Thus; ∠AMB ≅ ∠DMC.

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