Question

Which statement shows a difference between medians and altitudes of all triangles?

A. A median divides the vertex of the triangle into two angles of equal measure, but an altitude does not.
B. An altitude divides the vertex of the triangle into two angles of equal measure, but a median does not.
C. An altitude connects the vertex of the triangle to the opposite side dividing the side into equal segments, but a median does not.
D.An altitude divides the area of a triangle into equal parts, but a median divides it into two parts in which the area of one part is twice the area of the other.

Answer 1

I think it's C, is that right?

Answer 2

hi.

Answer 3

i would ask you to consider the definition of a median and then the definition of an altitude.

Answer 4

okay, these are my definitions: the altitude of a triangle is a line segment connecting a vertex to the line containing the opposite side and perpendicular to that side. A median is a segment connecting any vertex of a triangle to the midpoint of the opposite side.

Answer 5

I thought it was C for my original answer...

Answer 6

right. now lets look at the median. it connects a vertex to the midpoint of the opposite side

Answer 7

the only one that says that is C but it says "An altitude connects the vertex of the triangle to the opposite side dividing the side into equal segments, but a median does not"

Answer 8

so, that cant be correct, right?

Answer 9

you are right. that would be incorrect

Answer 10

but wait, if the definitions of altitude is that it connects a vertex to the line containing the opposite side and perpendicular to that side, would that make C correct? i'm confused...

Answer 11

an altitude does not necessarily divide the opposite side into two equal segments... only a median does that

Answer 12

okay, okay, would it be B?

Answer 13

I can't see it being anything else?

Answer 14

i think you are right, except there is a typo...the median and altitude should be switched. it might just be a bad problem. that happens.

Answer 15

so, C is the correct answer if you switch the terms altitude and median

Answer 16

yeah, I think it is, I get a lot of glitches on my software, it tends to happen a lot... but thanks for ur help, I really appreciate it! :)

Answer 17

okay, ill go with C, hopefully the teacher will see the typo

Answer 18

you are welcome. nothing else works here. all the other answers are somewhere between implausible and ridiculous. Nice work renee. Is there anything else i can help you with?

Answer 19

you can always point it out to him/her

Answer 20

yeah, actually I have a couple more questions, should I post them individually, u can get more points that way??

Answer 21

no, if i can help you with them too, I will. fire away

Answer 22

The figure below shows triangle PQR with a circumscribed circle of radius 7 inches.

http://assets.openstudy.com/updates/attachments/505b3fd4e4b0cc122893ea30-renee99-1348157619927-456845882011121142pm1902385864.png

Which segment must measure 7 inches?

A. segment RO
B. segment RQ
C. the angle bisectors
D. the perpendicular bisectors

Answer 23

Im actually gonna re-post this one, just to get it on the top of the list... look for it there okay?

Answer 24

if you like