Name _______________________________________________
Exhibition #3- Geometry Task
Date __________________
Portfolio Due: 3/31/15
Standards:
 G.CO.6 - Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given
rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to
decide if they are congruent.
 G.CO.8-Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of
congruence in terms of rigid motions.
 G.GPE.5-Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems
(e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Objective:
To create a portfolio that defends your learning of construction, congruence, and proofs.
Rough Draft Layout:
Each quiz will be an oral quiz over the major topics in Module 6. The test will be in the format of a portfolio to
demonstrate what you have learned and when you learned it. This assessment is for both Module 6 and your Exhibition
#3: Math Deliverables. The goal is for you to defend your learning when and how you learned it.


Each reflection should be about ½ to a 1 page single spaced.
When printing reflection: (Proof read your work with a partner)
o 12 pt. font
o Times New Roman
o Double Spaced
Quiz #1
Transformations
 Partner Pre-Quiz
-Your partner will provide
you feedback using a rubric
(success criteria) of how
you will be graded on your
quiz. They will take notes
and highlight key pieces
that you hit on the rubric
as well as key pieces that
need improvement.
-Following this, you will
reflect over the peer
feedback to take the quiz
the following day.
 Quiz
-You will conduct an oral
exam to explain your
learning.
-Your partner will be
provided with a list of
questions that they can
prompt you with to help
justify your learning.
Quiz #2
Symmetries of Polygons
 Partner Pre-Quiz
 Quiz
Quiz #3
Congruence
 Partner Pre-Quiz
 Quiz
Test
Portfolio
 Goal = Reflect On
Each Quiz
 Topics will be
listed and you will
have to justify
when you learned
the math concept.
Example:
Topic: Translation
Time Stamp: Quiz #1 – 1:24
Justification: I am able to
prove that I understand
translation of a pre-image
by…
Quiz #1: Reflection
Use quiz 1 and the rubric to transform your art piece (Just a picture of your art piece, not the actual model). You must
have a rotation, translation, and reflection in your assignment. Each transformation should have an answer with a
justification just like the quiz. Once, you have transformed your art piece, reflect on how your learning has changed
since quiz 1. (ex. What did you know then and what you know now? What have you learned from transformations? How
did taking the oral quiz express your learning? Etc.)
Exmple:
Quiz 1:
 If you decide the transformation is a rotation, you will need to give the center of rotation with the direction of
the rotation.
 If you decide the transformation is a reflection, you will need to give the equation for the line of reflection.
 If you decide the transformation is a translation, you will need to provide the slope between the pre-image and
final image.
Pre-Image
Image 1
Final Image
Image 2
Image 2
Image 3
Image 2
Image 4
Description
Quiz 1: Rubric
Translation:
Justification of
Chosen
Transformation
Proof of Math
Expression
4
-Student says: the
pre-image
slides/moves to the
final image using:
 Slope
 Rise/Run
 Creates
Parallel Lines
-Student uses bunny
hops or equation
𝑦2 −𝑦1
to prove the
𝑥 −𝑥
3
-Student says: the
pre-image
slides/moves to the
final image using:
 Slope
2
-Student says: the
image slides/moves
1
-Nothing said, done,
or written
-Student uses bunny
hops or equation
𝑦2 −𝑦1
to prove the
𝑥 −𝑥
-Student uses bunny
hops or equation
𝑦2 −𝑦1
to prove the
𝑥 −𝑥
-Nothing said, done,
or written
slope
-Students connect
points and their
primes to form
parallel lines
-Students label their
original point to their
primes
slope
-Students connect
points and their
primes to form
parallel lines
slope
2
1
2
1
2
1
OR
-Students connect
points and their
primes to form
parallel lines
Rotation:
Justification of
Chosen
Transformation
Proof of Math
Expression
4
-Student says: the preimage turn/moves to the
final image using:
 Center of
Rotation
 Axis of Rotation
 Concentric Circles
 Perpendicular
Lines
-Students uses compass
to show connecting
points from the preimage to the final image
to create concentric
circles
-Student uses
perpendicular lines to
create a perpendicular
bisector to create
perpendicular lines
-Students label their
original point to their
primes
3
-Student says: the preimage turn/moves to the
final image using:
 Center of
Rotation
 Concentric Circles
 Perpendicular
Lines
2
-Student says: the preimage turn/moves to
the final image using:
 Center of
Rotation
 Concentric
Circles
1
-Nothing said,
done, or written
-Students uses compass
to show connecting
points from the preimage to the final image
to create concentric
circles
-Student uses
perpendicular lines to
create a perpendicular
bisector to create
perpendicular lines
-Students uses
compass to show
connecting points
from the pre-image to
the final image to
create concentric
circles
OR
-Student uses
perpendicular lines to
create a perpendicular
bisector to create
perpendicular lines
-Nothing said,
done, or written
Reflection:
Justification of
Chosen
Transformation
Proof of Math
Expression
4
3
2
1
-Student says: the preimage flips/rotates to the
final image:
 Line of Reflection
 Equation
 Perpendicular
Lines
-Students uses a
compass to show
equidistance from line of
reflection
-Students show the preimage to the final image
is perpendicular from the
original points to their
primes
-Students label their
original point to their
primes
-Student says: the preimage flips/rotates to the
final image:
 Equation
 Perpendicular
Lines
-Student says: the
pre-image
flips/rotates to the
final image:
 Line of
Reflection
-Nothing said,
done, or written
-Students uses a
compass to show
equidistance from line of
reflection
-Students show the preimage to the final image
is perpendicular from the
original points to their
primes
-Students uses a
compass to show
equidistance from
line of reflection
OR
-Students show the
pre-image to the
final image is
perpendicular from
the original points
to their primes
-Noting said,
done, or written
Quiz #2 Reflection:
Using a picture of your art piece, you need to find lines of symmetry and rotational symmetry. If you do not have any,
you need to think about how to use transformations to help you accomplish these symmetries or place your art piece
within a geometric figure to create symmetries. Once you are done with creating symmetries for your image, reflect on
your learning from quiz 2 to now. (ex. How has your learning change? What did you know and what was a challenge?
How did the oral quiz help justify your learning? Etc.)
Example:
Quiz 2:
Show the rotational symmetry and lines of symmetry for the geometric figure. Orally justify why.
Lines of Symmetry
Justification
Degrees of Rotation
Justification
Quiz 2: Rubric
Pentagon:
Lines of
Symmetry



Rotational
Symmetry


4
5 lines of
symmetry
5 vertices = 5
sides = 5 lines of
symmetry
Connect vertices
to opposite
midpoints
All polygons have
a 360° rotational
Rotational
symmetry formula
=

360
𝑛
Degrees of
rotation: 72°,
144°, 216°, 288°
and 360°




3
5 lines of
symmetry
Connect
vertices to
opposite
midpoints
All polygons
have a 360°
rotational
Rotational
symmetry
formula =
360
𝑛


2
5 lines of
symmetry
All polygons
have a 360°


1
Nothing
said/written
Nothing
said/written
Lines of Symmetry
Justification
Degrees of Rotation
Justification