Question

(Classify the segment) Math Help Quick Please!

Answer 1

#a

• Perpendicular bisector of
  `\overline {JL}`
• Angle bisector of ∠K
• Median of △JKL
• Altitude of △JKL

`\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}`

#b

• None of the above

`\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}`

#c

• Perpendicular bisector of
  `\overline {</em><em>QR</em><em>}`
• }[/tex]Angle bisector of ∠P
• Median of △PQR
• Altitude of △PQR

Answer 2

(a) Altitude

(b) perpendicular bisector

(c) median

Explanation:

• The perpendicular bisector of a side of a triangle is a line perpendicular to the side and passing through its midpoint.
• The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles.
• A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.
• An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).

(a) Altitude

m∠KML = 90° but JM ≠ ML (so not perpendicular bisector)

(b) perpendicular bisector

AD = DB and m∠BDE = 90°

(c) median

QS = QR ⇒ S is the midpoint QR, BUT it is not perpendicular to QR, so median