Chapter 1: Q9. (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.
$\vec{M T}$ and $\vec{T M}$ are opposite rays.

Short Answer

Expert verified

The statement “ $\vec{M T}$ and $\vec{T M}$ are opposite rays”is false.

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of opposite rays.

Opposite rays are those rays that start from a common point but goes in the opposite directions.

Step 3. Step description.

Here $\vec{M T}$ and $\vec{T M}$ both are in opposite directions but both the rays do not have a common starting point. Thus, they are not opposite rays.

Therefore, the statement “ $\vec{M T}$ and $\vec{T M}$ are opposite rays” 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.
$\vec{M T}$ and $\vec{T M}$ are opposite rays.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of opposite rays.

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. MT→andTM→ are opposite rays.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of opposite rays.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Logic and Functions

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

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.
$\vec{M T}$ and $\vec{T M}$ are opposite rays.