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Chapter 4: Q3. (page 159)

In 鈻�JKLname each of the following.

a. an altitude

b. a median

Short Answer

Expert verified
  1. The altitude is KJ.
  2. The median is KZ.

Step by step solution

01

Part a. Step 1. Observe the given diagram.

The given diagram is:

02

Part a. Step 2. Definition of altitude.

The altitude is a line segment drawn perpendicular from the vertex to the opposite side to that vertex.

03

Part a. Step 3. Description of step.

From the given diagram it can be noticed that 鈭�KJL=90掳.

Therefore,KJis the altitude drawn from the vertex K.

Therefore, name of the altitude is KJ.

04

Part b. Step 1. Observe the given diagram.

The given diagram is:

05

Part b. Step 2. Definition of median.

The median is a line segment drawn from vertex to the midpoint of the opposite side to that vertex.

06

Part b. Step 3. Description of step.

From the given diagram it can be noticed that JZ=LZ.

Therefore,Zis the midpoint of JL.

Therefore,KZis the median drawn from the vertex K.

Therefore, name of the median is KZ.

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Most popular questions from this chapter

Suppose that 螖BIG鈮�螖CAT, then complete the following statement.

螖IGB鈮�__

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to 螖ABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

For the following figure, does the SAS postulates justify that the two triangles are congruent.

In the following figure, the two-triangle shown are congruent. Then explain the following statement.

Deduce that DC炉鈭�AB炉.

Find the values of x and y.

29. In 螖JKL,JK炉鈮�KL炉,m鈭�J=2x-y,m鈭�K=2x+2yandm鈭�L=x+2y
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