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Chapter 4: Q4. (page 159)

Note that ZL=ZJ. Can you deduce thatKZ bisects 鈭�LKJ?

Short Answer

Expert verified

It is being given that ZL=ZJ.

Therefore, the pointZis equidistant from the sides of the angle.

Therefore, by using the theorem 4-8 it can be noticed that the pointZlies on the angle bisector of the angle 鈭�LKJ.

Therefore, yes, it can be deduced that KZbisects 鈭�LKJ.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Write the theorem 4-8.

The theorem 4-8 states that if a point is equidistant from the sides of an angle, then the point lies on the bisector of the angle.

03

Step 3. Description of step.

It is being given that ZL=ZJ.

Therefore, the pointZis equidistant from the sides of the angle.

Therefore, by using the theorem 4-8 it can be noticed that the pointZ lies on the angle bisector of the angle 鈭�LKJ.

Therefore, yes, it can be deduced that KZbisects鈭�LKJ.

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