# Worksheet: Analyzing Statements Using Postulates

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

**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