Mathematics: Am i doing this right? the triangle abc in the figure below has midpoints labeled m and n and o. complete the following transformation

The answer is 23.Step-by-step explanation:...

Am i doing this right? the triangle abc in the

Ответ:

zack66828

08.01.2022

Mathematics

2). B

Step-by-step explanation:

We have been given a triangle ABC, whose midpoints are M, N and O. We are asked to complete the given transformation.

$H_M{\circ}H_O:C\rightarrow$

The midpoint theorem states that segment connecting the midpoints of two sides of a triangle is parallel to third side and half the measure of third side. By midpoint theorem:

$\overline{MN}=\overline{AO}=\overline{OC}$

$\overline{ON}=\overline{AM}=\overline{MB}$

$\overline{MO}=\overline{BN}=\overline{NC}$

We can see that by joining midpoints, we get 4 congruent triangles:

$\Delta MN\cong \Delta MAO\cong \Delta ONM \cong \Delta NOC$

We can also see that midpoint M corresponds to vertex C, so midpoint O will correspond to vertex B.

Therefore our required transformation would be $H_M{\circ}H_O:C\rightarrow B$ and 2nd option is the correct choice.

Am i doing this right? the triangle abc in the figure below has midpoints labeled m and n and o. co

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Am i doing this right?

the triangle abc in the figure below has midpoints labeled m and n and o.

complete the following transformation

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