Q7. In the following diagram HL炉聽a... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 1: Q7. (page 15)

In the following diagram $\overset{炉}{H L}$ and $\overset{鈫�}{K T}$ intersect at the midpoint of $\overset{炉}{H L}$ . Classify the following statement as true or false.
$\overset{炉}{M T}$ bisects $\overset{炉}{L H}$ .

Short Answer

Expert verified

The statement $\overset{炉}{M T}$ bisects $\overset{炉}{L H}$ 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 $\overset{炉}{L M} 鈮� \overset{炉}{M H}$ implies that the length of the line segment $\overset{炉}{L M}$ is equal to the length of the line segment $\overset{炉}{M H}$ such that $\overset{炉}{L M} = \overset{炉}{M H}$ .

Step 3. Step description.

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

This implies that $\overset{鈫�}{K T}$ bisects $\overset{炉}{L H}$ and $\overset{炉}{M T}$ is also a part of $\overset{鈫�}{K T}$ and its one endpoint is the mid-point of $\overset{炉}{L H}$ , so it is true that $\overset{炉}{M T}$ bisect $\overset{炉}{L H}$ .

Therefore, the statement $\overset{炉}{M T}$ bisect $\overset{炉}{L H}$ is true.

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91影视

In the following diagram $\overset{炉}{H L}$ and $\overset{鈫�}{K T}$ intersect at the midpoint of $\overset{炉}{H L}$ . Classify the following statement as true or false.
$\overset{炉}{M T}$ bisects $\overset{炉}{L H}$ .

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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91影视

In the following diagram HL炉andKT鈫� intersect at the midpoint of HL炉. Classify the following statement as true or false. MT炉bisects LH炉.

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

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Discrete Mathematics

Statistics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

In the following diagram $\overset{炉}{H L}$ and $\overset{鈫�}{K T}$ intersect at the midpoint of $\overset{炉}{H L}$ . Classify the following statement as true or false.
$\overset{炉}{M T}$ bisects $\overset{炉}{L H}$ .