Splash screen
Download
1 / 40

Splash Screen - PowerPoint PPT Presentation


  • 44 Views
  • Uploaded on

Splash Screen. Five-Minute Check Then/Now New Vocabulary Key Concept: Undefined Terms Example 1: Name Lines and Planes Example 2: Real-World Example: Model Points, Lines, and Planes Example 3: Draw Geometric Figures Example 4: Interpret Drawings. Lesson Menu. A B C D.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Splash Screen' - karyn-stanley


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Lesson menu

Five-Minute Check

Then/Now

New Vocabulary

Key Concept: Undefined Terms

Example 1: Name Lines and Planes

Example 2: Real-World Example: Model Points, Lines, and Planes

Example 3: Draw Geometric Figures

Example 4: Interpret Drawings

Lesson Menu


5 minute check 1

A

B

C

D

What is the value ofx2 +3yz if x = 3, y = 6, and z = 4?

A. 27

B. 33

C. 72

D. 81

5-Minute Check 1


5 minute check 2

A

B

C

D

A.–6

B.

C.2

D.6

Solve 2(x – 7) = 5x + 4.

5-Minute Check 2


5 minute check 3

A

B

C

D

Which is a solution of 3x + 4y = 14?

A. (–3, 4)

B. (–2, 5)

C. (1, 3)

D. (2, 3)

5-Minute Check 3


5 minute check 4

A

B

C

D

Factor 9x2 – 25y2.

A. (3x – 5y)2

B. (3x + 5y)2

C. (3x + 5y)(3x – 5y)

D. (9x + 5y)(x – 5y)

5-Minute Check 4


5 minute check 5

A

B

C

D

A. B.

C. D.

Graph y = 3x + 2.

5-Minute Check 5


5 minute check 6

A

B

C

D

Which of the following equations is a quadratic equation?

A. 4x = 2

B. 5x + 2y = 13

C. 6x2 – 3x = 16

D. 5x3 – x2 + 2 = 0

5-Minute Check 6


Then now

You used basic geometric concepts and properties to solve problems.

  • Identify and model points, lines, and planes.

  • Identify intersecting lines and planes.

Then/Now


Vocabulary

  • undefined term

  • point

  • line

  • plane

  • collinear

  • coplanar

  • intersection

Vocabulary


Concept
Concept problems.


Example 1

Answer: problems. The line can be named as line a.

There are three points on the line. Any two of the points can be used to name the line.

Name Lines and Planes

A. Use the figure to name a line containing point K.

Example 1


Example 11

Answer: problems. The plane can be named as plane B.

You can also use the letters of any three noncollinearpoints to name the plane.plane JKM plane KLM plane JLM

Name Lines and Planes

B. Use the figure to name a plane containing point L.

Example 1


Example 12

Name Lines and Planes problems.

The letters of each of these names can be reordered to create other acceptable names for this plane. For example, JKM can also be written as JMK, MKJ, KJM, KMJ, and MJK. There are 15 different three-letter names for this plane.

Example 1


Example 1a

A problems.

B

C

D

A.line X

B.line c

C.line Z

D.

A. Use the figure to name a line containing the point X.

Example 1a


Example 1b

A problems.

B

C

D

B. Use the figure to name a plane containing point Z.

A.plane XY

B.plane c

C.plane XQY

D.plane P

Example 1b


Example 2

Model Points, Lines, and Planes problems.

A. Name the geometric shape modeled by a 10  12 patio.

Answer: The patio models a plane.

Example 2


Example 21

Model Points, Lines, and Planes problems.

B. Name the geometric shape modeled by a water glass on a table.

Answer: The glass on the table models a point on a plane.

Example 2


Example 2a

A problems.

B

C

D

A. Name the geometric shape modeled by a colored dot on a map used to mark the location of a city.

A. point

B. line segment

C. plane

D. none of the above

Example 2a


Example 2b

A problems.

B

C

D

B. Name the geometric shape modeled by the ceiling of your classroom.

A. point

B. line segment

C. plane

D. none of the above

Example 2b


Example 3

Draw Geometric Figures problems.

Draw a surface to represent plane R and label it.

Example 3


Example 31

Draw Geometric Figures problems.

Draw a line anywhere on the plane.

Example 3


Example 32

Draw Geometric Figures problems.

Draw dots on the line for point A and B. Label the points.

Example 3


Example 33

Draw Geometric Figures problems.

Example 3


Example 34

Draw Geometric Figures problems.

Draw dots on this line for point D and E. Label the points.

Example 3


Example 35

Draw Geometric Figures problems.

Label the intersection point of the two lines as P.

Example 3


Example 36

Draw Geometric Figures problems.

Answer:

Example 3


Example 37

Draw Geometric Figures problems.

Answer:

There are an infinite number of points that are collinear with Q and R. In the graph, one such point is T(1, 0).

Example 3


Example 3a

A problems.

B

C

D

A. B.C.D.

A. Choose the best diagram for the given relationship. Plane D contains line a, line m, and line t, with all three lines intersecting at point Z. Also point F is on plane D and is not collinear with any of the three given lines.

Example 3a


Example 3b
Example 3b problems.


Example 3b1

A problems.

B

C

D

A. B.

C.D.

Example 3b


Example 4

Interpret Drawings problems.

A. How many planes appear in this figure?

Answer: There are two planes: plane S and plane ABC.

Example 4


Example 41

Interpret Drawings problems.

B. Name three points that are collinear.

Answer: Points A, B, and D are collinear.

Example 4


Example 42

Interpret Drawings problems.

C. Are points A, B, C, and D coplanar? Explain.

Answer: Points A, B, C, and D all lie in plane ABC, so they are coplanar.

Example 4


Example 43

Interpret Drawings problems.

Answer: The two lines intersect at point A.

Example 4


Example 4a

A problems.

B

C

D

A. How many planes appear in this figure?

A. one

B. two

C. three

D. four

Example 4a


Example 4b

A problems.

B

C

D

B. Name three points that are collinear.

A.B, O, and X

B.X, O, and N

C.R, O, and B

D.A, X, and Z

Example 4b


Example 4c

A problems.

B

C

C. Are point X, O, and R coplanar?

A. yes

B. no

C. cannot be determined

Example 4c


Example 4d

A problems.

B

C

D

A. point X

B. point N

C. point R

D. point A

Example 4d