Chapter 4: Q.16 (page 162)

$\bar{W X}$ and $\bar{Y Z}$ are perpendicular bisectors of each other.
Zis equidistant from $\underline{?}$ and $\underline{?}$ .

Short Answer

Expert verified

Zis equidistant from $W$ and $X$ .

Step by step solution

Step 1. Define Perpendicular Bisector

A perpendicular bisector of a segment is a line or a ray or a segment that is perpendicular to the segment and passes through its midpoint.

Step 2. Observe the diagram

In the below diagram, let the point of intersection of two perpendicular bisectors be O So, as per the definition of perpendicular bisector $W O = O X$ and $Y O = O Z$ .

Step 3. State the conclusion

As $\bar{W X} & \bar{Y Z}$ are perpendicular bisectors of each other, so, $\bar{Y Z}$ is passing through midpoint of role="math" localid="1649972280625" $\bar{W X}$ .

So, $Z$ is equidistant from $W$ and $X$ . Hence, the blank is filled with terms $W$ and $X$ .

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$\bar{W X}$ and $\bar{Y Z}$ are perpendicular bisectors of each other.
Zis equidistant from $\underline{?}$ and $\underline{?}$ .

Short Answer

Step by step solution

Step 1. Define Perpendicular Bisector

Step 2. Observe the diagram

Step 3. State the conclusion

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WX¯and YZ¯are perpendicular bisectors of each other.Zis equidistant from ? ¯and ? ¯.

Short Answer

Step by step solution

Step 1. Define Perpendicular Bisector

Step 2. Observe the diagram

Step 3. State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Pure Maths

Discrete Mathematics

Mechanics Maths

Statistics

Study anywhere. Anytime. Across all devices.

$\bar{W X}$ and $\bar{Y Z}$ are perpendicular bisectors of each other.
Zis equidistant from $\underline{?}$ and $\underline{?}$ .