Chapter 4, Problem 18CR

(a)

To determine

Name an altitude in $\Delta DEF$

Answer to Problem 18CR

  $\overline{DG}$

Explanation of Solution

Given:

  

Calculation:

An altitude is a perpendicular from a vertex to opposite side.

So, in $\Delta DEF$ , $\overline{DG}$ is an altitude.

(b)

To determine

Name a median in $\Delta DEF$

Answer to Problem 18CR

  $\overline{FH}$

Explanation of Solution

Given:

  

Calculation:

A median is the line segment that bisects the line of the triangle.

Since $\overline{DH}\cong \overline{HE}$

So, in $\Delta DEF$ , $\overline{FH}$ is a median.

(c)

To determine

Name the perpendicular bisector of a side of the $\Delta DEF$ .

Answer to Problem 18CR

  $\overleftrightarrow{KJ}$

Explanation of Solution

Given:

  

Calculation:

A perpendicular bisector is the line segment that bisects the line of the triangle and is also perpendicular to the side.

Since $\overline{EJ}\cong \overline{JF}$ and $\overleftrightarrow{KJ}\cong \overline{EF}$

So, in $\Delta DEF$ , $\overleftrightarrow{KJ}$ is a perpendicular bisector.