Download Level 2

Name:
Teacher:
Columbia High School Math Department
Geometry Summer
Packet
Level 2
Overview: This geometry summer packet is to acquaint you with the thinking, reasoning, and basics
of your geometry program in the fall. Please carefully work through your packet, working with a peer
or seeking help from a high school teacher who will be available for assistance. You are expected to
have the packet completed within the first week of school and will be given an assessment on the
material. Both will count toward a first marking period grade.
Materials: compass, protractor, straight edge, tracing paper, calculator
Symbols for marking diagrams:
means congruent(the same size)
| : Perpendicular: intersect to form right angles
⁄⁄ means parallel (do not intersect)
Geometric Figures
1. Describe the shape below thoroughly.
Describe the whole figure and the parts.
B
.
C
A
40
940
0
460
2. Look at the three shapes below.
How are they alike?
j
Al
47
23
67
90
90
40
900
500
How are they different?
What do you notice about the angles?
3. Look at the 2 sets of diagrams below.
Write a definition for a polygon.
Polygons
Not Polygons
43
4. Create a diagram for each term below:
point
endpoint
line
congruent segments
collinear
midpoint
line segment
5. Measure each angle using the protractor above:
a. m ∠AQC = _______
b. m ∠AQB = ______
c. m ∠XQA = ______
d. m ∠ AQY = _____
e. m ∠ZQY = ______
f. m ∠ZQX = ______
Reading a Diagram
May assume: Lines are straight and intersect in 1 point.
May NOT assume: Items that look congruent are
congruent. Lines that look parallel or perpendicular
are parallel or perpendicular. (Need markings)
6. Angles - Write a definition for each bold faced word. Be sure to look at differences between what
are and what are not.
7. Triangles - Write a definition for each bold faced word. Be sure to look at differences between what
are and what are not.
Right Triangles -
8. Look back at your definition for polygons (#3).
Write a definition for the special polygons. Be sure to look at differences between what
are and what are not.
Polygon Names
Sides
Name
3
triangle
4
quadrilateral
5
pentagon
6
hexagon
7
heptagon
8
octagon
9
nonagon
10
decagon
12
dodecagon
9. Write a definition for the special quadrilaterals. Be sure to look at differences between what
are and what are not.
a zoid
10. Circles - . Write a definition for the bold faced words.. Be sure to look at differences between
what are and what are not.
Questions 1. Can a chord also be a diameter? ____ Explain.
2. Can a chord also be a tangent? _____Explain.
3. Can 2 circles be tangent to the same line at the same point? ______
Draw a diagram to illustrate.
11. Solids - 3 dimensional objects
The 6 types of geometric solids:
Nets - a 2 dimensional pattern that you can cut and fold to make a geometric figure.
12. Solids
13. Draw a diagram to determine if each statement below is true or false.
_____a. For any 2 points there is exactly one line that can be drawn through them.
_____b. If 2 lines are perpendicular to the same line in the same plane then the 2 lines are
parallel.
_____ c. If 2 lines in the same plane do not intersect, then they are parallel.