Warmup 1 3 B F C G A

Warmup 1 -3 B F C G A E D J H Use the diagram above. 1. Name three collinear points. 2. Name two different planes that contain points C and G. 3. Name the intersection of plane AED and plane HEG. 4. How many planes contain the points A, F, and H? 5. Show that this conjecture is false by finding one counterexample: Two planes always intersect in exactly one line.

Answers 1. D, J, and H 2. planes BCGF and CGHD 3. HE 4. 1 5. Sample: Planes AEHD and BFGC never intersect

Lesson 1 -3: Segments, Rays, Parallel Lines and Planes Term Own Words Definition Segment Part of a line with 2 endpoints and all points in between Ray Part of a line with 1 endpoint and all points in one direction Opposite rays Parallel lines Two rays that share the same endpoint. They form a line. Coplanar lines that do not intersect. Skew lines Non-coplanar lines and do not intersect (not parallel) Parallel Planes that do not intersect

Segment: Segment AB, segment BA, or AB, BA Ray: Ray AB or AB (only way) Rays have a sense of direction. Opposite Rays: CA and CB or opposite

In-Class Example 1 Draw three noncollinear points J, K, L. Then draw JK, KL and L J. SOLUTION 1 Draw J, K, and L 2 Draw JK. 3 Draw KL. 4 Draw LJ. K J L

In-Class Example 2 Draw two intersecting lines. Label points on the lines and name two pairs of opposite rays. SOLUTION XM and XN are opposite rays. XP and XQ are opposite rays.

Parallel: Line l l m Skew: line m These bars mean “is parallel to” l m Line l is skew to line m

In-Class Example 3 Example: Draw the figure below. Name all segments that are parallel to AE. Name all segments that are skew to AE D C A B H E G F Parallel segments: DH, BF, CG Skew segments: BC, CD, FG, GH Assignment: Practice 1 – 3 Run in the same direction. Different direction – still don’t touch.