http://www.ck12.org Chapter 1. Basics of Geometry
c) What point belongs to neither PlaneVnor PlaneW?
d) List three points in PlaneW.
- Draw and label the intersection of line
←→
ABand ray−→
CDat pointC.- How do the figures below intersect?
Answers:
- The surface of a movie screen is most like a plane.
- a) Neither
b) Yes
c)S
d) Any combination ofP,O,T, andQwould work.
- It does not matter the placement ofAorBalong the line nor the direction that
−→
CDpoints.- The first three figures intersect at a point,P,QandR, respectively. The fourth figure, two planes, intersect in a
line,l. And the last figure, three planes, intersect at one point,S.
Practice
- Name this line in two ways.
- Name the geometric figure below in two different ways.
- Draw three ways three different planes can (or cannot) intersect.
- What type of geometric object is made by the intersection of a sphere (a ball) and a plane? Draw your answer.
Use geometric notation to explain each picture in as much detail as possible.
5.For 6-15, determine if the following statements are ALWAYS true, SOMETIMES true, or NEVER true.
- Any two distinct points are collinear.
- Any three points determine a plane.
- A line is composed of two rays with a common endpoint.
- A line segment has infinitely many points between two endpoints.
- A point takes up space.
- A line is one-dimensional.
- Any four distinct points are coplanar.
−→
ABcould be read “rayAB” or “rayBA.”
14.←→
ABcould be read “lineAB” or “lineBA.”- Theorems are proven true with postulates.
In Algebra you plotted points on the coordinate plane and graphed lines. For 16-20, use graph paper and follow the
steps to make the diagram on the same graph.
- Plot the point (2, -3) and label itA.
- Plot the point (-4, 3) and label itB.