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Chapter 2: Q4 (page 49)

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

Provide a counterexample to disprove the statement:

If m鈭�Ais less than 100, then 鈭�Ais an acute angle.

Short Answer

Expert verified

The required example is m鈭�A=91掳.

Step by step solution

01

Step 1. Definition of acute angle.

The angle having the measurement below 90掳represents itself as an acute angle

02

Step 2. Consider a measurement of given angle.

Consider that 90掳represents the measurement of 鈭�A. As it is below 100掳but above 90掳so this makes the given condition false because it is not according to the definition of an acute angle.

03

Step 3. Make the conclusion.

As the example m鈭�A=91掳makes the provided condition false so this is the required example.

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Most popular questions from this chapter

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

2a+b=2a+2b

Consider the following statements:

Reflexive Property: Robot A is as rusty as itself.

Symmetric Property: If Robot A is as rusty as Robot B, then Robot B is as rusty as Robot A.

Transitive Property: If Robot A is as rusty as Robot B and Robot B is as rusty as Robot C, then Robot A is as rusty as Robot C.

A relation such as 鈥渋s as rusty as鈥� that is reflexive, symmetric, and transitive is an equivalence relation. Which of the following are equivalence relations?

a. Is rustier than

b. Has the same length as

c. Is opposite (for rays)

d. Is coplanar with (for lines)

State the converse of each conditional. Is the converse true or false?

If , then .

Copy everything shown and supply missing statements and reasons.

Given: DW=ON

Prove: DO=WN

Proof:

Justify each step.

4x鈭�5=鈭�24x=3x=34
See all solutions

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