Look at triangle PQR. Point O is the centroid and point S is the orthocenter.

Which segments are always equal?

PN and NQ

PM and MN

RN and RM

RO and ON

Question

Look at triangle PQR. Point O is the centroid and point S is the orthocenter.
 


Which segments are always equal? 

 PN and NQ 

 PM and MN 

 RN and RM 

 RO and ON

anonymous · Answer

attachment

anonymous · Answer

there arent any numbers so how would you know?

anonymous · Answer

You have to use the knowledge of what the orthocenter and centroid is.

anonymous · Answer

Let's start with the centroid. What is the centroid?

anonymous · Answer

the centroid is like where all the lines meet?

anonymous · Answer

No. The centroid is where the medians meet. What is the median?

anonymous · Answer

*What is a median?

anonymous · Answer

i know the medians create centroids?

anonymous · Answer

Medians of a triangle are lines that go from one angle to the opposite side and bisects the opposite side. If RN is a median and RN bisects PQ, what is the answer?

anonymous · Answer

MR?

anonymous · Answer

PR? is MR and PR congruent?

anonymous · Answer

No. Again, RN Bisects PQ at N.

anonymous · Answer

PM & MN?

anonymous · Answer

Do you know what bisect means?

anonymous · Answer

yes, where the two lines bisect eachother

anonymous · Answer

Ok, but what does it mean?

anonymous · Answer

Bisect means that it cuts what it bisects in half.

anonymous · Answer

That means that whatever is bisected becomes two equal objects right?

anonymous · Answer

PN and NQ