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Chapter 2: Q17CUR. (page 71)

Classify each statement as true or false. If it is false, provide a counter example.

If points A and B are in plane M, then AB¯is in plane M.

Short Answer

Expert verified

The statement is True.

Step by step solution

01

Step 1. State the definition of plane.

A plane is a two-dimensional flat surface that extends to infinity.

02

Step 2. State the explanation.

Consider the example,

From the above diagram, the points A and B are in plane M, and AB¯is also in plane M.

03

Step 3. State the conclusion.

Therefore, the statement True.

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Most popular questions from this chapter

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

If D is the midpoint of BC¯, then BD=12BC.

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. ?

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

If 2x+y=70and y=3xthen 2x+3x=70.

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

If z5=10then z=50.

Copy everything shown and supply missing statements and reasons.

Given:m∠4+m∠6=180

Prove: m∠5=m∠6

Proof:
See all solutions

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