Chapter 1: Q11. (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.
$\overset{\leftrightarrow}{L H}$ is same as $\bar{H L}$

Short Answer

Expert verified

The statement “ $\vec{L H}$ is same as $\bar{H L}$ ”is false.

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of segment and line.

A segment is a part of the line that is bounded by two endpoints. Thus, a segment has 2 endpoints.

A line goes on infinitely in both the direction. A line has no endpoints.

Step 3. Step description.

Here $\bar{H L}$ represents a segment. Thus $\bar{H L}$ have two endpoints $H$ and $L$ and all the points between these two points and $\overset{\leftrightarrow}{L H}$ represent a line and it is extended infinitely on both sides.

Since $\bar{H L}$ is a part of $\overset{\leftrightarrow}{L H}$ thus, they are not the same.

Therefore, the statement “ $\overset{\leftrightarrow}{L H}$ is same as $\bar{H L}$ ” is false.

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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.
$\overset{\leftrightarrow}{L H}$ is same as $\bar{H L}$

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of segment and line.

Step 3. Step description.

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

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of segment and line.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

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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.
$\overset{\leftrightarrow}{L H}$ is same as $\bar{H L}$