OBJECTIVE: SKETCH SIMPLE FIGURES AND THEIR INTERSECTIONS

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Presentation transcript:

OBJECTIVE: SKETCH SIMPLE FIGURES AND THEIR INTERSECTIONS 2. X, Y, and Z are collinear. DO NOW: Use the figure at the right to decide whether the statement is true or false. Z C Y X A d 1. C lies on line d. 3. A is a plane. 4. CY is a line. OBJECTIVE: SKETCH SIMPLE FIGURES AND THEIR INTERSECTIONS HOMEWORK: WORKSHEET 1.4 PRACTICE A

GEOMETRY MAP PROJECT DUE SEPTEMBER 26, 2014 THIS PROJECT WILL BE COMPLETED AT HOME AND DURING ONE CLASS PERIOD AT SCHOOL QUESTIONS SHOULD BE ASKED DURING THIS PERIOD (NEXT WEEK) REFER TO THE HANDOUT FOR REQUIREMENTS AND RUBRIC

VOCABULARY Intersect: Figures intersect if they have any points in common Intersection: The intersection of two or more figures is the point or points that the figures have in common

Postulates: s d M t N Postulate 3: If two lines intersect then their intersection is a POINT. Lines s and t intersect at point P. Postulate 4: If two planes intersect, then their intersection is a LINE. Planes M and N intersect at line d. s d M P t N

Now…Complete Example 1: Name Intersections of Lines and the Follow-up In the boxes provided… Follow-up Follow-up Draw lines k and l that intersect at point Z. Draw lines m and n that do not intersect. Now…Complete Example 1: Name Intersections of Lines and the Follow-up

In the boxes provided… m k n l FOLLOW- UP FOLLOW-UP Draw lines k and l that intersect at point Z. Draw lines m and n that do not intersect. m k n Z l

Solutions: Example 1 point B point E Intersect Follow-up: No. They always stay an equal distance apart. Yes. You can extend the lines to the left and they will intersect.

Now…complete Example 2: Name intersections of Planes

Example 2 Solution: Planes S and R intersect at line k. Planes R and T do not appear to intersect. Planes T and S intersect at line l. Now…complete Example 3: Sketch Intersections of Lines and Planes

Example 3 Solution In the plane Does not intersect the plane Intersects the plane Lastly, complete Example 4: Sketch intersections of Planes and answer the Follow-up

Example 4 *I was unable to draw the dotted line on PowerPoint  Follow-up: According to postulate 4, two planes must intersect in a line.

Now… Work with a partner to complete… CHECKPOINT 1-9 in the packet Textbook PG. 25 # 2-6 even, 10-14 even, and 16-20 even…choose two problems to write on the board!