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In this lesson, we will learn how to use 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.

Q2:

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

Q3:

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

Q4:

Are points π , π , π , π , and π coplanar?

Q5:

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

Q6:

How many planes can pass through two different points?

Q7:

How many planes can pass through three collinear points?

Q8:

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

Q9:

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

Q10:

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

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?

Q12:

If π and π are two planes, where π β© π = β , what is the relation between those two planes?

Q13:

Q14:

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

Q15:

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

Q16:

Is this true or false?

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

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