Chapter 1: Q13. (page 15)

In the following diagram $\bar{H L}$ and $\overset{\leftrightarrow}{K T}$ intersect at the midpoint of $\bar{H L}$ . Classify the following statement as true or false.
$\overset{\leftrightarrow}{K M}$ is the same as $\overset{\leftrightarrow}{K M}$ .

Short Answer

Expert verified

The statement “ $\overset{\leftrightarrow}{K T}$ is same as $\overset{\leftrightarrow}{K M}$ ”is true.

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the line.

A line is extended to infinitely in both the direction. Since a line has no end fixed, thus a line has no endpoint.

Step 3. Step description.

Here $\overset{\leftrightarrow}{K T}$ and $\overset{\leftrightarrow}{K M}$ both represent lines.

As the line is extended infinitely on both sides, so it doesn’t matter which points on the line are used to name it.

Therefore, both the lines are the same.

Therefore, the statement “ $\overset{\leftrightarrow}{K T}$ is same as $\overset{\leftrightarrow}{K M}$ ” is true.

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In the following diagram $\bar{H L}$ and $\overset{\leftrightarrow}{K T}$ intersect at the midpoint of $\bar{H L}$ . Classify the following statement as true or false.
$\overset{\leftrightarrow}{K M}$ is the same as $\overset{\leftrightarrow}{K M}$ .

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the line.

Step 3. Step description.

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In the following diagram HL¯andKT↔ intersect at the midpoint of HL¯. Classify the following statement as true or false. KM↔is the same as KM↔.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the line.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

In the following diagram $\bar{H L}$ and $\overset{\leftrightarrow}{K T}$ intersect at the midpoint of $\bar{H L}$ . Classify the following statement as true or false.
$\overset{\leftrightarrow}{K M}$ is the same as $\overset{\leftrightarrow}{K M}$ .