Chapter 2: Q2 (page 49)

Use the conditional: If $\bar{A B}$ and $\bar{C D}$ intersect, then $\vec{A B}$ and $\vec{C D}$ intersect.
Write the converse of the conditional. Is the converse true or false?

Short Answer

Expert verified

The answer to the provided statement is true.

Step by step solution

Step 1. Observe the given symbols.

The symbols represent the intersection that is among two line segments and two rays.

Step 2. Identify the converse.

The converse of the provided statement will be reverse of it so write the converse that is: if the rays $\vec{A B}$ and $\vec{C D}$ are intersecting, then the segments $\bar{A B}$ and $\bar{C D}$ are also intersecting.

Step 3. State whether the converse is true or not.

There is no difference between the original conditional and the converse so the converse is true.

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Use the conditional: If $\bar{A B}$ and $\bar{C D}$ intersect, then $\vec{A B}$ and $\vec{C D}$ intersect.
Write the converse of the conditional. Is the converse true or false?

Short Answer

Step by step solution

Step 1. Observe the given symbols.

Step 2. Identify the converse.

Step 3. State whether the converse is true or not.

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Use the conditional: If AB¯and CD¯intersect, then AB→and CD→intersect.Write the converse of the conditional. Is the converse true or false?

Short Answer

Step by step solution

Step 1. Observe the given symbols.

Step 2. Identify the converse.

Step 3. State whether the converse is true or not.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Use the conditional: If $\bar{A B}$ and $\bar{C D}$ intersect, then $\vec{A B}$ and $\vec{C D}$ intersect.
Write the converse of the conditional. Is the converse true or false?