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Chapter 2: Q18. (page 59)

Can you conclude from the information given for the exercise that XY→⊥XZ→?

m∠1=46andm∠4=44

Short Answer

Expert verified

The relation between the provided lines cannot be concluded.

Step by step solution

01

Step 1. Observe the given statement and figure.

The given angles are having different measurements.

02

Step 2. Use the observation according to the definition of perpendicular lines.

The observation of statement do not relate with the definition of perpendicular lines that is the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to each other.

03

Step 3. Make the conclusion.

As the definition of perpendicular line does not match with the provided statement so the relation between the provided lines cannot be concluded.

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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

Prove the following statement by filling in the blanks.

If A and B have coordinated a and b, with b>a, and the midpoint M of AB¯ has coordinate x, then prove x=a+b2.

Proof:

Statement

Reasons

1. A, M, and B have coordinated a, x, and b respectively; b>a.

1. ?

2. AM=x−a;MB=b−x

2. ?

3. M is the midpoint of AB¯.

3. ?

4. AM¯≅MB¯, orAM=MB

4. ?

5.x−a=b−x

5. ?

6. 2x=?

6. ?

7. x=a+b2

7. ?

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

If E is the midpoint of AF¯, then EC¯, bisects AF¯ .

Provide a counterexample to show that each statement is false.

Statement: If , then .

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
See all solutions

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