Question

Am I doing this right?

Answer 1

Yes you are right. Notice how the midpoint also create another triangle, a lot of geometry is symmetry

Answer 2

Answer:

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.