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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

Justify each statement with a property from algebra or property of congruence.

If x+5=16then x=11.

Copy everything shown and supply missing statements and reasons.

Given:m鈭�4+m鈭�6=180

Prove: m鈭�5=m鈭�6

Proof:

If 鈭�Aand 鈭�Bare supplementary, find the value of x, m鈭�Aand m鈭�B.

25. role="math" m鈭�A=x+16,m鈭�B=2x-16

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

x=1only if x2=x.

Justify each statement with a property from algebra or property of congruence.

2a+b=2a+2b
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