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Chapter 2: Q25. (page 59)

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

鈭�1鈮�鈭�4and鈭�2鈮�鈭�3

Short Answer

Expert verified

The relation between the provided lines cannot be concluded.

Step by step solution

01

Step 1. Definition of congruent angles.

Angles having the same measurement are referred as the congruent angles.

02

Step 2. Definition of perpendicular lines.

The definition of perpendicular lines states that the relation between two lines is perpendicular when the property of angles formed by those lines represented by the congruent adjacent angles.

03

Step 3. Make the conclusion.

The definition of perpendicular line does not match with the relation between the provided angles because the provided relation between the angles is not true. So the relation between the provided lines cannot be concluded.

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Most popular questions from this chapter

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

m鈭�1+m鈭�2=m鈭�BAC

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

If E is the midpoint of AF炉, then AE=12AF.

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

Provide a counterexample to show that each statement is false. You may use words or draw a diagram.

If , then B is the midpoint of .

Write a definition of a right angle as a biconditional.
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