splash screen
DESCRIPTION
Splash Screen. Students will be able to Identify and analyze statements using basic postulates about points, lines, and planes. Write paragraph proofs. Then/Now. Postulate (axiom)-. Concept. Concept. Identifying Postulates. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Splash Screen](https://reader036.vdocuments.us/reader036/viewer/2022070411/56814751550346895db4925d/html5/thumbnails/1.jpg)
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Students will be able to
•Identify and analyze statements using basic postulates about points, lines, and planes.
• Write paragraph proofs.
![Page 3: Splash Screen](https://reader036.vdocuments.us/reader036/viewer/2022070411/56814751550346895db4925d/html5/thumbnails/3.jpg)
• Postulate (axiom)-
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Identifying Postulates
ARCHITECTURE Explain how the picture illustrates that the statement is true. Then state the postulate that can be used to show the statement is true.
A. Points F and G lie in plane Q and on line m. Line m lies entirely in plane Q.
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ARCHITECTURE Explain how the picture illustrates that the statement is true. Then state the postulate that can be used to show the statement is true.
B. Points A and C determine a line.
Identifying Postulates
![Page 8: Splash Screen](https://reader036.vdocuments.us/reader036/viewer/2022070411/56814751550346895db4925d/html5/thumbnails/8.jpg)
A. Through any two points there is exactly one line.
B. A line contains at least two points.
C. A plane contains at least three noncollinear points.
D. A plane contains at least two noncollinear points.
ARCHITECTURE Refer to the picture. State the postulate that can be used to show the statement is true.
A. Plane P contains points E, B, and G.
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A. Through any two points there is exactly one line.
B. A line contains at least two points.
C. If two lines intersect, then their intersection is exactly one point.
D. If two planes intersect, then their intersection is a line.
ARCHITECTURE Refer to the picture. State the postulate that can be used to show the statement is true.
B. Line AB and line BC intersect at point B.
![Page 10: Splash Screen](https://reader036.vdocuments.us/reader036/viewer/2022070411/56814751550346895db4925d/html5/thumbnails/10.jpg)
Analyze Statements Using Postulates
A. Determine whether the following statement is always, sometimes, or never true. Explain.
If plane T contains contains point G, then plane T contains point G.
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Analyze Statements Using Postulates
B. Determine whether the following statement is always, sometimes, or never true. Explain.
contains three noncollinear points.
![Page 12: Splash Screen](https://reader036.vdocuments.us/reader036/viewer/2022070411/56814751550346895db4925d/html5/thumbnails/12.jpg)
A. Determine whether the statement is always, sometimes, or never true.
Plane A and plane B intersect in exactly one point.
A. always
B. sometimes
C. never
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B. Determine whether the statement is always, sometimes, or never true.
Point N lies in plane X and point R lies in plane Z. You can draw only one line that contains both points N and R.
A. always
B. sometimes
C. never
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• Proof-
• Theorem-
![Page 15: Splash Screen](https://reader036.vdocuments.us/reader036/viewer/2022070411/56814751550346895db4925d/html5/thumbnails/15.jpg)
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• Paragraph proof-
• Informal proofs-
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Write a Paragraph Proof
Given:
Prove: ACD is a plane.
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Given RT TY, S is the midpoint of RT, and X is the midpoint of TY , write a paragraph proof to show that ST TX .
TYRT
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