Chapter 1: Q8. (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.
$\overset{\leftrightarrow}{K T}$ is a bisector of $\bar{L H}$ .

Short Answer

Expert verified

The statement “ $\overset{\leftrightarrow}{K T}$ is a bisector of $\bar{L H}$ ” is true.

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of midpoint.

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

Here the statement $\bar{L M} ≅ \bar{M H}$ implies that the length of the line segment $\bar{L M}$ is equal to the length of the line segment $\bar{M H}$ such that $\bar{L M} = \bar{M H}$ .

Step 3. Step description.

As $\bar{H L}$ and $\overset{\leftrightarrow}{K T}$ intersect at the midpoint of $\bar{H L}$ and that intersection point is $M$ , thus $M$ is the midpoint of $\bar{H L}$ .

Since $M$ is the midpoint thus this implies that $\overset{\leftrightarrow}{K T}$ bisects $\bar{L H}$ .

Therefore, the statement $\overset{\leftrightarrow}{K T}$ bisects $\bar{L H}$ 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.
$\overset{\leftrightarrow}{K T}$ is a bisector of $\bar{L H}$ .

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of midpoint.

Step 3. Step description.

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In the following diagramHL¯ andKT↔ intersect at the midpoint of HL¯. Classify the following statement as true or false.KT↔is a bisector of LH¯.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of midpoint.

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.
$\overset{\leftrightarrow}{K T}$ is a bisector of $\bar{L H}$ .