Geometry 2.3 Postulates and Diagrams

Use the diagram to determine whether you can assume the statement.

Groups:

(a) Yes, I can assume.

,

(b) No, I can't assume.

• Points U, M, and O are coplanar

Tags

CCSS.HSG.CO.A.1

Tags

CCSS.4.G.A.1

Tags

CCSS.4.G.A.1

Tags

CCSS.HSG.CO.A.1

Your friend claims that if three lines intersect each other, then there are two points of intersection because of the Line Intersection Postulate. Is your friend correct? Why or why not?

• Yes, 3 lines will have 2 points of intersection

• Yes, because that's true

• No, 3 lines can interest each other at 1 or 3 points

• No, 3 lines can't all intersect each other

Tags

CCSS.HSG.CO.A.1

Match the following postulates with their correct example using the diagram.

• one line containing points C and H

• Plane-Point Postulate

• line l contains points G and D

• Three Point Postulate

• Plane M contains points B, H, and E

• Line-Point Postulate

• Line Intersection Postulate

• B, H, E are noncollinear & define planeM

• Two Point Postulate

Tags

CCSS.4.G.A.1

What postulate would be represented by:

Points G and E line in Plane M, so GE lies in plane M.

• Two Point Postulate

• Line Intersection Postulate

• Plane Point Postulate

• Plane Line Postulate

Rewrite the Three Point Postulate in if-then form.

If ​ (a)   , then ​ (b)  

• three points are noncollinear
• there exists exactly one plane that contains them.
• there are two noncollinear points
• there intersection is exactly one point