+

OBJECTIVE: SKETCH SIMPLE FIGURES AND THEIR INTERSECTIONS

DO NOW: Use the figure at the right to decide whether the statement is true or false.

Z

YX

A d

C

1. C lies on line d.

3. A is a plane.

4. CY is a line.

2. X, Y, and Z are collinear.

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:

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

tP M

N

d

+In the boxes provided…

Draw lines k and l that intersect at point Z.

Draw lines m and n that do not intersect.

Follow-up Follow-up

Now…Complete Example 1: Name Intersections of Lines

and the Follow-up

+In the boxes provided…

Draw lines k and l that intersect at point Z.

Draw lines m and n that do not intersect.

FOLLOW- UP FOLLOW-UP

l

m

nk

Z

+Example 1

Solutions:a. point Bb. point Ec. 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:a.Planes S and R intersect at line k.b.Planes R and T do not appear to

intersect.c.Planes T and S intersect at line l.

Now…complete Example 3: Sketch Intersections of Lines and Planes

+Example 3

Solutiona. In the plane

b. Does not intersect the plane

c. 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…

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!

Work with a partner to complete…