# Worksheet: Analyzing Statements Using Postulates

In this worksheet, we will practice using postulates to explain the reasoning when analyzing statements.

Q1:

Determine whether the following is true or false: the vertices of a triangle determine a plane.

• Afalse
• Btrue

Q2:

Determine whether the following is true or false: the vertices of a parallelogram do not determine a plane.

• Atrue
• Bfalse

Q3:

Complete using one of the choices below: If two planes have two common points and , then they .

• Ahave a third point in common, which does not belong to
• Bintersect at a straight line parallel to
• Cintersect at
• Dare coincident

Q4:

Are points , , , , and coplanar?

• Ayes
• Bno

Q5:

Which of the following statements is true about the two planes?

• A The two planes are intersected.
• B The two planes are coincident.
• C The two planes are parallel.

Q6:

How many planes can pass through two different points?

• A0
• B2
• Can infinite number
• D1

Q7:

How many planes can pass through three collinear points?

• A2
• Ban infinite number
• C3
• D1

Q8:

Determine whether the following sentence is true or false: Any three points in a space determine a plane.

• A false
• B true

Q9:

Determine whether the following sentence is true or false: If is a quadrilateral, then there is only one plane passing through all of its sides.

• A false
• B true

Q10:

What does it mean for two lines to be considered skew?

• AThey are not coincident.
• BThey are not located in the same plane.
• CThey are not parallel.
• DThey are located in the same plane.

Q11:

In gymnastics, the floor exercises are done on a mat that is 40 feet long and 40 feet wide. Is the mat an example of a point, a line, a line segment, or part of a plane?

• A part of a plane
• B a line
• C a point
• D a line segment

Q12:

If and are two planes, where , what is the relation between those two planes?

• AThey are parallel to each other.
• BThey intersect each other.
• CThey are coincident.

Q13:

Which of the following statements is true about the two planes?

• A The two planes are intersected.
• B The two planes are coincident.
• C The two planes are parallel.

Q14:

Consider three intersecting planes. The normals to each of the planes are coplanar. Are the lines of intersection parallel?

• A No
• B Yes

Q15:

The given figure shows a pentagonal prism placed on a plane . Determine whether plane and plane intersect.

• Ano
• Byes

Q16:

Is this true or false?

A plane figure is two-dimensional (2D).

• A true
• B false