Due Monday, December 17th
Geogebra #8
Name___________________________
Go to www.geogebra.org , click DOWNLOAD, then APPLET START. Try each of the constructions on your own first,
Save all 8 constructions by going to SAVE AS… -> COMPUTER-> PUBLIC-> CLASS FOLDER-> KSCOTT-> ___ period->your
name followed by the name of the quadrilateral.
A) Construct parallelogram A
B) Construct parallelogram B
1) Draw segment
(tool 3B)
2) Use tool 2A to make a point C noncollinear to points A & B
1)
3) Draw a line parallel to
2)
4) Draw segment
through point C (tool 4B)
Use tool 3B to draw a segment
diagonal of your parallelogram
. This will be one
Use tool 2E to find the midpoint of
(label it C)
Construct a circle of any size with center point C (tool 6A)
Use the segment tool (3B) to draw any diameter of Circle C
and label the endpoints D and E
5) Use the polygon tool (5A) to create parallelogram ADBE
6) Open a text box and write one sentence that verifies
why this quadrilateral a parallelogram
3)
4)
(tool 3B)
5) Construct a line parallel to
through point B (tool 4B)
6) Label the resulting intersection point D (tool 2D)
7) Use the polygon tool (5A) to create parallelogram ABDC
8) Open a text box and write one sentence that verifies
why this quadrilateral is a parallelogram
C) Construct a rhombus
1)
Use tool 3B to draw a segment
. This will be a diagonal of your rhombus.
2)
Use tool 2E to find the midpoint of
3)
4)
5)
6)
7)
Use tool 4A to construct a line that is perpendicular to
through point C.
Use tool 6A to draw a circle whose center is point C.
Use tool 2D to label the intersections of the circle and perpendicular line as points D and E.
Use the polygon tool (5A) to create rhombus ADBE.
Open a textbox and write 2 sentences that justify why this quadrilateral is a rhombus
(it will be labeled C)
D) Construct a rectangle
1) Use tool 6A to draw a circle whose center is A
2) Use tool 3B to draw a diameter of circle A. (it will be labeled segment
)
3) Use tool 3B to draw another diameter of the circle. (it will be labeled segment
)
4) Use the polygon tool (5A) to create rectangle BDCE
5) Open a textbox and write 2 sentences that justify why this quadrilateral is a rectangle
E) Construct a square
Think about how you constructed the rectangle and the rhombus. You must make diagonals that are BISECTED, CONGRUENT and
perpendicular. Use the segment tool, the circle tool and the perpendicular line tool to build your 4 vertices. Then use the polygon tool
to create the square. Open a textbox and write 3 sentences that justify why this quadrilateral is a square.
F) Construct a kite
Construct 2 intersecting circles using tool 6A. The centers, A & B, will be 2 opposite vertices and the 2 intersections of those circles will
be the other opposite vertices. Use the polygon tool (5A) to create kite ACBD. Open a textbox and write one sentence that
justifies why this quadrilateral is a kite.
G) Construct a trapezoid
This will be similar to the parallelogram but you don’t want both pairs of opposite sides parallel, just one…You must use the segment
tool (3B), point tool (2A), parallel tool (4B), and polygon tool (5A). Open a textbox and write one sentence that justifies why this
quadrilateral is a trapezoid.
H) Construct an isosceles trapezoid
(1) Use tool 3B to draw base
(2) Use tool 2A to make point C noncollinear to
(3) Draw a line parallel to
through point C (tool 4B)
(4) Use tool 3B to make one diagonal of this shape ( BC )
(5) Use your compass tool (6C) to make a circle whose radius length is the length of your diagonal with center point at A.
(6) Use tool 2E to find the intersection of your circle and the parallel line through point C. Label this intersection point D.
(7) Use your polygon tool (5A) to form isosceles trapezoid ABDC
(8) Open a textbox and write two sentences that justify why this quadrilateral is an isosceles trapezoid.