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1-2 Points, Lines, & PlanesPowerPoint Presentation

1-2 Points, Lines, & Planes

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### 1-2 Points, Line & Planes Okay… Try again

Warm up:

You are about to see a video. Watch it closely and count the number of passes the white shirt teams make.

Watch This Video Closely

So you know what to look for now right? Okay… Try again.

Note To Students… Okay… Try again(this does not need to be copied into your notes)

Attention to detail will make the difference between a passing and a failing grade in this chapter.

Every minute detail will count.

So pay close attention to the details!!!

They will be in pink throughout the notes.

A Point Okay… Try again

*Is like a location

*Is represented by a dot

*Is named with a capitalletter

*Has no size

When naming more than one you must use commas

* Okay… Try againIs a series of points that extend in opposite directions without end.

*Is named by any two points on the line or by single lowercase letter.

Symbol is used over the

Top of the two letters.

A line*Is a flat surface that has no thickness. Okay… Try again

*Contains many lines & extends without end in all directions.

*Named by either a single capital letter (not a point) or by at least three points that are not on the same line.

PlaneCollinear Okay… Try again

Point on the same line

If your asked if points are collinear and out of 100 points 99 of them are on a line and one of them is not, then it’s a non-collinear situation.

Coplanar

Point on the same plane

Problem 1 Okay… Try again

(A) What are two other ways to name

(b) What are two other ways to name plane P?

(c) What are the names of three collinear points? What are the names of four coplanar points?

A Segment Okay… Try again

- Part of a line
- Consists of the endpoints and all points between them.
- Symbol is used over the two endpoint of the segment to name it.

- Part Okay… Try againof a line
- Consists of one endpoint and all points extending in one direction.
- Naming it: Endpoint as the first letter any other point on the ray as the second.
- Symbol is used over the top

Opposite Rays Okay… Try again

- Two rays with the same endpointsthat extends in opposite directions
- (always forms a line)
- Named by their shared endpoint & any other point on each ray.

Q

Are Explain.

S

R

Problem 2 Okay… Try again

What are the names of the segments?

What are the names of the rays?

Which of the rays in part (b) are opposite rays?

Additional Examples Okay… Try again

What are 2 other ways to name

What are 2 ways to name plane Q?

What are the names of 3 collinear pts?

What are the names of 4 coplanar pts?

Additional Examples Continued Okay… Try again

2.

What are the names of the segments?

What are the names of the rays?

Which of the rays are opposite rays?

Homework Okay… Try again

1-2 P. 16 #s 1-14, omit #3

Objective: To understand basic postulates (facts) of Geometry

Postulate or Axiom Okay… Try again

Is an accepted statement of fact

We must never forget the facts of geometry because sometimes a diagram or a demonstration of a geometry topic may “look” to show one thing when in reality something completely different is happening.

- Through any 2 points there is Okay… Try again
- exactly 1 line
- If two distinct lines intersect,
- then they intersect in exactly
- 1 point.
- If two distinct planes intersect,
- then intersect in exactly one line

Problem 3 Okay… Try again

Each surface of the box represents part of a plane.

What is the intersection of plane ADC and plane BFG?

(b) What are the names of two planes that intersect in

Postulates-Continued Okay… Try again

- Through any three non-collinear points there is exactly one plane

Problem 4 Okay… Try again

(a.) What plane contains

Points N, P, and Q? Shade the

plane.

(b,) What plane contains

points J, M, and Q? Shad the

plane.

Problem 4 Okay… Try again

(c.) What plane contains

Points L, M, and N? Shade the

plane.

(b,) What is the name of a line that is coplanar with and ?

Additional Examples Continued Okay… Try again

Which plane contains points, J, M, and L?

Which plane contains points L, P, and Q?

Additional Examples Continued Okay… Try again

What is the intersection of plane AEH and plane EGH?

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