Parts of Geometry Objective 2.02 Apply properties, definitions, and theorems of angles and lines to solve problems

Point Represented by a dotNamed by a Capital letter A Point has no size Examples of points. A. B. X All figures are made of points

Line Made of an infinite number of points Has no width only length Extends forever in 2 directions C

Ray Has one endpoint Extends forever in one direction

Line Segment Has 2 endpoints Definite start and end

Collinear points: points that lie on the same line Noncollinear points: points that do not lie on the same line

In the figure below, name three points that are collinear and three points that are not collinear. Points Y, Z, and W lie on a line, so they are collinear. Any other set of three points do not lie on a line, so no other set of three points is collinear. For example, X, Y, and Z and X, W, and Z form triangles and are not collinear.

Plane Extends without ending Flat surface Has no thickness 3 noncollinear points

Shade the plane that contains X, Y, and Z. Points X, Y, and Z are the vertices of one of the four triangular faces of the pyramid. To shade the plane, shade the interior of the triangle formed by X, Y, and Z.

Name the plane shown in two different ways. You can name a plane using any three or more points on that plane that are not collinear. Some possible names for the plane shown are the following: plane RSU plane RTU plane STU plane RST plane RSTU

Coplanar A set of points, lines, line segments, rays or any other geometrical shapes that lie on the same plane are said to be Coplanar. All the points A, B, C, and D in the plane P are coplanar.

Choose the correct statement/statements. 1. Points F, A, L, I, C, G, E, O, and B are coplanar. 2. Points G, E, F, and A are coplanar. 3. O, A, and B are coplanar. 4. Points F, A, L, I, C are coplanar.

The correct answer is 4

Two lines intersect at a point. In this picture the intersection is point E.

Lines that are coplanar and do not intersect

Lines that are noncoplanar and do not intersect

Use the diagram below. What is the intersection of plane HGC and plane AED? As you look at the cube, the front face is on plane AEFB, the back face is on plane HGC, and the left face is on plane AED The back and left faces of the cube intersect at Planes HGC and AED intersect vertically at HD Based on the example above: Two planes intersect in a line HD

Use the figure below. Name all segments that are parallel to AE. Name all segments that are skew to AE. Parallel segments lie in the same plane, and the lines that contain them do not intersect. The three segments in the figure above that are parallel to AE are: Skew lines are lines that do not lie in the same plane. The four lines in the figure that do not lie in the same plane as AE are BF, CG, and DH BC, CD, FG, and GH.

Homework: worksheet Practice 1-2