Geogebra Construction Mini

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Geogebra Construction Mini-Project
www.geogebra.org
Due Date:
Contstruct the following objects using the GeoGebra program. In
addition, you must print out and submit your constructions:

Congruent Segments

Segment Bisector (p. 27)

Congruent Angles

Angle Bisectors (p. 27)

Parallel Lines (p. 154)

Transversals (p. 154)

Perpendicular Lines (p. 188-189)

Perpendicular Bisector

Midpoints (p.12)

2 intersecting lines

Prove Angle Addition Postulate
The goal of this activity is to not only create the above constructions, but to also have a deeper
understanding of what they represent. Each construction should include an explanation as to how
you created it, as well as some justification as to why it is an accurate demonstration. For example,
“I know this demonstrates an example of a _________________ because…”
In addition to the above constructions, students are to create a slider and animate angle pairs in
GeoGebra. The goal is to animate a pair of complementary and supplementary angles and to
animate a vertical angle pair. Students should print out a copy of their angle pairs, complementary
angles, and supplementary angles. The instructions to creating a slider are below:
1. Click Slider
2. Click on screen
3. Slider Boxa. Click angle
b. Min- 0 Max 180 degrees
4. Right click on slider, select object properties
a. Slider Box- width 180 deg.
5. Select angle with given size
a. Click 2 points on screen
b. In box select symbol that represents symbol on slider
6. Create lines through 3 points. (Each side of the vertical angle)
7. Create two points on opposite lines (Vertical angle)
Rubric for Geogebra Activity
4- Advanced
3- Proficient
2- Basic
1- Below Basic
0-
No response
Item
Congruent
Segments
Segment
Bisector (p. 27)
Congruent
Angles
Angle Bisectors
(p. 27)
Parallel Lines
(p. 154)
Transversals
(p. 154)
4
3
2
Segments are
labeled with
endpoints and show
measurements and
include explanations
Segments are
labeled with
endpoints and show
measurements and
include explanations
Congruent angles
are labeled with
vertices and angle
measurements
shown and include
explanations
Angle bisectors are
labeled and the new
bisected angles
show measurements
and include
explanations
Segments are
labeled with
endpoints and
show
measurements
Segments are
labeled with
endpoints and
show
measurements
Congruent angles
are labeled with
vertices and angle
measurements
shown
Segments are
labeled with
endpoints or
measurements
Angle bisectors
are labeled and
the new bisected
angles show
measurements
Angle bisectors
are labeled or
the new
bisected angles
show
measurements
Parallel lines are
shown with
equations of lines
showing they are
parallel and include
explanations
2 parallel lines and a
transversal are
shown with angles
numbered. Text box
indicating angle
postulates are
included
(alt.interior, alt.
exterior, etc.) and
include explanations
Parallel lines are
shown with
equations of lines
showing they are
parallel or include
explanations
2 parallel lines
and a transversal
are shown with
angles numbered.
Text box
indicating angle
postulates are
included
(alt.interior, alt.
exterior, etc.)
Parallel lines
are shown with
equations of
lines showing
they are parallel
Segments are
labeled with
endpoints or
measurements
Congruent
angles are
labeled with
vertices or
measurements
2 parallel lines
and a
transversal are
shown with
angles
numbered. Text
box indicating
angle postulates
are included
(alt.interior, alt.
1
Segments are
included with
endpoints but are
part of another
drawing
Segments are
included with
endpoints but are
part of another
drawing
Congruent angles
are labeled or
include
measurements as
part of another
drawing
Angle bisectors are
labeled or the new
bisected angles
show
measurements as
part of another
drawing
Parallel lines are
shown with
equations of lines
showing they are
parallel as part of
another drawing
2 parallel lines and
a transversal are
shown with angles
numbered.
0
No segment
shown
No segment
bisector
shown
No
congruent
angles shown
No angle
bisector
shown
No parallel
lines shown
No
transversals
shown
Perpendicular
Lines (p. 188189)
Perpendicular lines
are shown with
equations of lines
included to show
perpendicular and
include explanations
Perpendicular
lines are shown
with equations of
lines included to
show
perpendicular
Perpendicular
Bisector
Perpendicular lines
are shown with
measures of the
bisected segment
pieces and include
explanations
Line is shown with
segment
measurements to
show its midpoint
and include
explanations
Two lines are shown
and labeled,
including the
solution and include
explanations
Line shows pieces as
well as the total
length to prove
postulate and
include explanations
Angle pairs are
included along with
slider and include
explanations
A pair of
complimentary
angles is shown
including the slider
and include
explanations
A pair of
supplementary
angles are shown
along with the slider
and include
explanations
Perpendicular
lines are shown
with measures of
the bisected
segment pieces
Midpoints
(p.12)
2 intersecting
lines
Prove Angle
Addition
Postulate
angle pairs
complementary
angles
supplementary
angles
exterior, etc.)
Perpendicular
lines are shown
Perpendicular lines
are shown as a part
of another drawing.
No
perpendicula
r lines shown
Perpendicular
line with
bisectors are
shown
Perpendicular line
with bisectors are
shown as part of
another drawing.
No
perpendicula
r bisectors
shown
Line is shown
with segment
measurements to
show its
midpoint.
Line is shown
with a midpoint
but missing
measurements
Midpoint is shown
as part of another
drawing
No midpoints
shown
Two lines are
shown and
labeled, including
the solution
Two lines are
shown
intersecting, but
not labeled
2 lines are shown
as part of another
drawing
No
intersecting
lines shown
Line shows pieces
as well as the
total length to
prove postulate
Lines are
shown, but
missing
measurements
Angle addition
postulate is shown
as part of another
figure
No proof of
angle
addition
postulate
Angle pairs are
included along
with slider.
Angles pairs are
included.
Angle pairs are
included as part of
another figure
No angle
pairs shown
A pair of
complimentary
angles is shown
including the
slider
A pair of
complimentary
angles is shown
Complimentary
angles are shown
as part of another
figure
No
complimenta
ry angles
shown
A pair of
supplementary
angles are shown
along with the
slider
A pair of
supplementary
angles is shown
Supplementary
angles are included
as part of another
drawing.
No
supplementa
ry angles
shown
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