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Chapter 2: Q2 (page 49)

Use the conditional: If AB炉and CD炉intersect, then AB鈫�and CD鈫�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

01

Step 1. Observe the given symbols.

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

02

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 AB鈫�and CD鈫�are intersecting, then the segments AB炉and CD炉are also intersecting.

03

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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Most popular questions from this chapter

What can you conclude if the following sentences are all true?

  1. If(1) p, then q.
  2. (2) p
  3. I(3) q, then not r.

(4) s or r

Complete.

m鈭�DOB=?炉

Can you conclude from the information given for the exercise that XY鈫�鈯�XZ鈫�?

鈭�1and鈭�3 are complementary.

State which definition, postulate, or theorem justifies the statement about the diagram.

m鈭�3+m鈭�4=180

Can you conclude from the information given for the exercise that XY鈫�鈯�XZ鈫�?

鈭�2鈮�鈭�3
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