Homework Help

Answer the questions about the figure.  1. ______ is an altitude of triangle ABC 2....

user profile pic

novjb | Salutatorian

Posted July 17, 2013 at 7:16 PM via web

dislike 0 like

Answer the questions about the figure. 

1. ______ is an altitude of triangle ABC

2. Segment AB is an _____ of <DAC.

3. Segment BG is a ______ of _____.

4. ____ is a perpendicular bisector of segment.

 

Thank you for your help.

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

1 Answer | Add Yours

user profile pic

lfryerda | High School Teacher | (Level 2) Educator

Posted July 19, 2013 at 7:20 PM (Answer #1)

dislike 1 like

An altitude is a line that goes through a vertex of the triangle and is perpendicular to the opposite side.  This means that line AD is an altitude of triangle ABC.  

An angle bisector is a line that cuts an angle in half.  So segment AB is an angle bisector of the angle DAC.  

A median is a line that extends from a vertex to the midpoint of the opposite side of a triangle.  Therefore segment BG is a median of triangle EBC.

A perpendicular bisector is a line that extends from the midpoint of a triangle side at right angles.  Therefore, segment GF is a perpendicular bisector of triangle BFC.

Segment AD is an altitude of triangle ABC, segment AB is an angle bisector of the angle DAC, segment BG is a median of triangle EBC, segment GF is a perpendicular bisector of triangle BFC.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes