Geometry
Unit 1:
Part 1
This is a packet containing the homework and some classwork for the first half of the
first unit of geometry. This MUST be completed and turned in before your first
assessment (no exceptions). You will turn in completed assignments by their designated
due date. If you lose this packet, it will be your responsibility to print a new packet.
Replacement packets and assignments will be posted on my website. I may also give
you additional assignments, not in this packet. In general, you may use a calculator
when necessary. For full credit, you will need to show all work (when applicable).
Name
Date Assigned: _________________
Tentative Due Date for Packet:______________
Assignment
1.1 Worksheet
1.2 Worksheet
1.3 Worksheet
1.4 Worksheet
Assigned Date
Due Date
Grade
Grading rubric for assessments: MYP Criterion A: Knowledge and Understanding
Achievement
level
7-8
5-6
3-4
1-2
0
Year 5 Descriptor
The student consistently
makes appropriate deductions
when solving challenging
problems in a variety of
contexts including unfamiliar
situations.
The student generally makes
appropriate deductions when
solving challenging problems
in a variety of familiar
contexts.
The student generally makes
appropriate deductions when
solving more complex
problems in familiar contexts.
The student generally makes
appropriate deductions when
solving simple problems in
familiar contexts.
The student does not reach a
standard described by any of
the descriptors above
Student Friendly Descriptor
8: Exceed Expectations (A)
 I answered all questions completely and correctly
including the unfamiliar question
 I included units (if necessary).
 If a test/quiz, I did not use my notes and showed all
my thinking.
 I rounded to three significant figures when
necessary.
 I successfully answered all questions on my first
attempt.
 I showed all necessary work
7: Exceeds Expectations (A)
 I answered all questions with most being correct, but
I may have missed a question.
 I included units (if necessary).
 If a test/quiz, I did not use my notes and showed my
thinking.
 I rounded to three significant figures when
necessary.
 I showed all necessary work
6: Meets expectations (B)
 Most of my answers are correct with a couple errors.
 If a test/quiz, I may have used my notes.
 I showed my thinking on most problems.
 I may have missed units on questions.
 I may have rounded incorrectly.
 My assignment may have been completed after the
due date.
5: Making Progress (C)
 I answered about half the questions correctly.
 If a test/quiz, I may have used my notes.
 I may have missed units on questions.
 I may have rounded incorrectly.
4: Showed some knowledge (D)
 I attempted all questions with limited success.
3: Made an attempt
 I attempted all questions with limited success.
I attempted questions with very limited success.
I did not try this assessment.
Unit 1: Congruency and Markings
1.1 Worksheet
Name
Due Date
Use the pictures below to name each midpoint and the segment it bisects. Use
the proper notation and vocabulary. For example, “P bisects ̅̅̅̅
𝑫𝑪”
1. _______________
2. _______________
3. ________________________
________________
_________________________
Use the pictures above and to the right to name all the congruent parts. Use
the congruence symbol (≅).
1.
__________________
___________________
2.
__________________
___________________
___________________
3.
__________________
___________________
___________________
Which statement(s) are written using correct notation? Circle all that apply.
a.
AB = 9.75 cm
b.
̅̅̅̅
𝐴𝐵 = 9.75 𝑐𝑚
c.
̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐴𝐶
d.
̅̅̅̅
𝐴𝐵 = ̅̅̅̅
𝐴𝐶
A
9.75 cm
B
9.75 cm
C
Using the coordinate plane to the right with A (4,0) as shown…
̅̅̅̅ where B has coordinates
1. Draw 𝐴𝐵
(2,-6)
2. Draw ⃗⃗⃗⃗⃗⃗
𝑂𝑀 with endpoint (0, 0) that
goes through point M (2,2)
3. Draw ⃡⃗⃗⃗⃗
𝐶𝐷 through points C(-2, 1) and
D(-2, -3)
Give a real life model of each geometric term.
1. Point: ______________________
2. Line Segment: __________________
3. Angle: ______________________
4. Plane: ______________________
Use the photo to the
right of a freight train to identify
models for the following basic
figures. Use colors, labeled points,
numbers, or descriptions to locate
models of each geometric term.
1.
Point:
_______
2.
Line:
_______
3.
Collinear Points:
__________
4. According to the definition, what
is the difference between a line and a
model of a line? Explain.
Unit 1: All About Angles
1.2 Worksheet
Name
Due Date
Directions: If you need further help with a protractor, then there are videos
posted online. Below are the directions to access the videos.
1.
2.
3.
4.
5.
6.
7.
Go to the Washburn website: washburn.mpls.k12.mn.us
Click classroom pages, then find Johnson, k.
Click on “Geometry” on the right
Click “Geometry lessons”
Click “Unit 1: Lines and Angles” on the right
Scroll to the bottom, then watch the first video titled “What is an Angle?”
Answer the questions on this page.
Name each angle THREE ways. Remember to use the angle symbol before
writing the name (i.e. ∠Y)
1.
______ ________ ________
2.
______ ________ ________
______ ________ ________
Hint: You should have six names since
there are 2 angles in the picture.
For each picture, identify the angle(s) that can be named using only the
vertex letter.
1. _____________________
2. __________________________
Directions:
Watch the next video titled “Measuring angles.” Answer the
questions on this page.
Find the measure of each angle using the picture.
1. m∠AQB ≈ ____
2. m∠AQC≈ ____
3.
m∠XQA≈ ____
4. m∠AQY≈ ____
5. m∠ZQY≈ ____
6. m∠ZQX ≈ ____
7.
m∠CQB ≈ ____
8. m∠XQY ≈ ____
Use a protractor to measure each angle. Record your answers inside the
angle. You should be within 3 degrees of accuracy.
1.
2.
3. m∠S ≈ ____
m∠RTQ ≈ ____
Directions:
Watch the third video titled “Drawing Angles.” Answer the
next three questions.
Use a protractor to draw and label each angle.
1. ∠ABC = 150°
2. ∠D = 40°
3.
∠CAT = 72°
Directions:
Watch the final video titled “Angle Bisectors.” Answer the
next three questions.
Name each angle bisector(s) and the angle(s) it bisects using the proper
vocabulary and notation. (There may be more than one bisector). For
example, ⃗⃗⃗⃗⃗⃗
𝑨𝑩 bisects CAT
1. __________________
2. __________________
___________________
1. Place the proper marks on the
figure below:
EFH is a right angle
JFL  HFN
3. __________________
__________________
2. Solve for x.
Unit 1: Vertical and Linear Angles
1.3 Worksheet
Name
Due Date
Find the missing angles. Show all work/thinking.
1.
a=
b=
c=
2.
a=
b=
c=
3.
a=
b=
c=
d=
4.
a=
b=
c=
d=
5.
Solve for y.
y=
6.
Solve for t.
t=
Review:
Label the diagram below with the given information. Complete the
notation on the right, based on the diagram.
̅̅̅̅
𝐴𝐵 ≅ ̅̅̅̅
𝐶𝐵
̅̅̅̅
𝐹𝐻 ≅ ̅̅̅
𝐽𝐾
̅̅̅̅
̅
𝐹𝐺 ‖𝐼𝐽
̅̅̅̅‖𝐸𝑀
̅̅̅̅̅
𝐷𝐿
m∠GFH = 90˚
̅̅̅̅
̅̅̅̅̅
𝐶𝐸 ⊥ 𝐸𝑀
Unit 1: Practice Assessment
1.4 Worksheet
Name
Due Date
Directions: Complete this in preparation for your first assessment.
Learning Target 1.1.A:
I can identify, define, mark, and use notation to
represent basic geometric figures.
Use the photo to the left of a bicycle making contact with
a street to identify models for the following basic figures:
1.
line segment
2.
collinear points
3.
plane
4.
point
5. Make a sketch of the following figure: 6. Mark and sketch ̅̅̅̅
𝐶𝑇 with a midpoint A.
⃗⃗⃗⃗⃗
⃡⃗⃗⃗
𝐴𝑍
Then sketch 𝐴𝑆 so that ⃡⃗⃗⃗
𝐴𝑆 ⊥ ̅̅̅̅
𝐶𝑇 .
7. Label the figure to the right
with the information given below.
̅̅̅̅ ∕∕ 𝐶𝐷
̅̅̅̅
 𝐴𝐵
̅̅̅̅ ⊥ 𝐹𝐺
̅̅̅̅
 𝐵𝐶
 𝐹 is the midpoint of ̅̅̅̅
𝐵𝐶
 ̅̅̅̅
𝐴𝐵 ⊥ ̅̅̅̅
𝐸𝐺
8.
Consider the diagram below.
Select the statement below that is written using correct notation. Justify your
answer.
A.) ̅̅̅̅
𝐴𝐶 ≅ 8.5 cm
B.) 𝐴𝐶 ≅ 8.5 𝑐𝑚
̅̅̅̅ ≅ 𝐴𝐶
̅̅̅̅
C.) 𝐴𝐵
̅̅̅̅ ∕∕ 𝐴𝐶
̅̅̅̅
D.) 𝐴𝐵
Learning Target 1.2.A: I can identify, define, mark, and use notation to represent
angles.
Use your protractor to measure the angles below:
1. mB = _________
2. mACB = _________
3. Use a protractor to draw an obtuse
4. Solve for x.
angle ABC so that mABC = 120˚.
Then ⃗⃗⃗⃗⃗
𝐵𝑍 so that ⃗⃗⃗⃗⃗
𝐵𝑍 bisects ABC.
Learning Target 1.2.D: I can use vertical angle and linear pair relationships to set up
and solve algebraic equations to find missing measures.
1. Find the missing measures.
a = ______ b = _____ c = _______
3. Find the missing measures.
e = ______ f = _____ g = _______
2. Find the missing measures.
a = ______ b = _____ c = _______
4. Find the missing measures.
a = ______ b = _____ c = _______
d = ______ e = _____