Download Geometry Summer Packet: 2015

Geometry Summer Packet
Level 5
Geometry Teachers
RATIONALE FOR PACKET
Created for those students who will enter Advanced Honors Geometry in the Fall of 2015, this packet is a
representation of the type of work and thinking that will be used by High School Geometry students at
Columbia High School. The conclusions and answers that students come up with are going to be used to
complete chapter 1 of the Geometry course. Students will be expected to take and pass a test on the
conclusions and the answers to the questions asked in this packet. If there are problems in completing the
packet, the math department is going to have teachers available to answer questions.
Materials needed to do this summer packet: Students will need access to a protractor, a compass, a
straightedge, tracing paper, and a calculator.
Directions: Answer the questions on a separate piece of paper. You will submit your answers during
the first week of school. There are places that ask you to compare answers with your classmates, if
you know anyone taking the course, please consult them. When you are asked to do any of the
investigations on patty paper, please use tracing paper.
Symbols for marking diagrams:
:
Congruent: same size.
| : Perpendicular: intersect to form right angles
⁄⁄: Parallel
Diagram the definitions: Create a diagram of each term.
point
line
plane
collinear
coplanar
line segment
endpoint
congruent segments
midpoint
When reading a diagram:
Things you may assume:
1. You may assume that lines are straight, and if two lines intersect, they intersect at one point.
2. You may assume that points on a line are collinear and that all points shown in a diagram are coplanar
unless planes are drawn to show that they are noncoplanar.
Things you may not assume:
1.You may not assume that just because two lines or segments look parallel that they are parallel—they must
be marked parallel!
2. You may not assume that two lines are perpendicular just because they look perpendicular—they must be
marked perpendicular!
3. Pairs of angles, segments, or polygons are not necessarily congruent unless they are marked with
information that tells you they must be congruent!
Polygons defined by number of sides
triangle A polygon with three sides.
quadrilateral A polygon with four sides.
pentagon A polygon with five sides.
hexagon A polygon with six sides.
heptagon A polygon with seven sides.
octagon A polygon with eight sides.
nonagon A polygon with nine sides.
decagon A polygon with ten sides.
undecagon A polygon with 11 sides.
dodecagon A polygon with 12 sides.
n-gon A polygon with n sides.