Chapter 10: Q2. (page 382)

Describe how you would construct each of the following:
The midpoint of $\bar{B C}$ .

Short Answer

Expert verified

The construction of midpoint of $\bar{B C}$ is described.

Step by step solution

Step 1. Given information.

The given statement is “The midpoint of $\bar{B C}$ ”.

Step 2. Concept used.

Draw arc with radius greater than that side and joint the point of intersection.

Step 3. Solution.

The procedure to construct midpoint of $\bar{B C}$ :

Consider the line segment $\bar{B C}$ .
Choose a radius greater than $\frac{1}{2} \bar{B C}$ .
Using the above radius and $B$ as centre draw two arcs above and below the line $\bar{B C}$ .

Using the same radius and $C$ as centre draw two arcs above and below the line $\bar{B C}$ .

Label the intersecting the points as $X & Y$ .

Observe $\bar{X Y}$ is the perpendicular bisector of $\bar{B C}$ .

The intersection point of $\bar{X Y} & \bar{B C}$ is the midpoint of $\bar{B C}$ .

The construction is shown below:

Therefore, the construction of midpoint of $\bar{B C}$ is described.

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Describe how you would construct each of the following:
The midpoint of $\bar{B C}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Solution.

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Describe how you would construct each of the following:The midpoint of BC¯.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Solution.

One App. One Place for Learning.

Most popular questions from this chapter

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Describe how you would construct each of the following:
The midpoint of $\bar{B C}$ .