State which postulate justifies each statement.

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State which postulate justifies each statement.
2. If M is between X and Y, then XM MY XY.
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State which postulate justifies each statement.
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EXAMPLE 1
Identify a postulate illustrated by a diagram
State the postulate illustrated by the diagram.
SOLUTION
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EXAMPLE 2
Identify postulates from a diagram
Use the diagram to write examples of Postulates 9
and 10.
Postulate 9 Plane P contains at least three
noncollinear points, A, B, and C.
Postulate 10 Point A and point B lie in plane
P, so line n containing A and B also lies in
plane P.
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for Example 1 and 2
GUIDED PRACTICE
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for Example 1 and 2
GUIDED PRACTICE
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EXAMPLE 3
Use given information to sketch a diagram
SOLUTION
STEP 1
STEP 2
STEP 3
8
EXAMPLE 4
Interpret a diagram in three dimensions
A, B, and F are collinear.
E, B, and D are collinear.
SOLUTION
9
for Examples 3 and 4
GUIDED PRACTICE
In Questions 3 and 4, refer back to Example 3.
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for Examples 3 and 4
GUIDED PRACTICE
11
for Examples 3 and 4
GUIDED PRACTICE
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for Examples 3 and 4
GUIDED PRACTICE
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Daily Homework Quiz
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Daily Homework Quiz
2.
Decide whether the statement Two planes can
intersect in exactly one point R is true or
false. If false, give a reason.
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Daily Homework Quiz
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Daily Homework Quiz
Use the diagram to determine if the statement is
true or false.
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Daily Homework Quiz
Use the diagram to determine if the statement is
true or false.
5.
ABE and HED are vertical angles.