Create a wrapping paper design that includes at least four of the following constructions:
a bisected angle
a perpendicular line drawn from a point not on a line to a line
a perpendicular line drawn through a given point on a given line
a quadrilateral with at least one pair of parallel lines
a segment bisected by a perpendicular line
two congruent angles
two congruent segments
two parallel lines, one of which is drawn through a given point
Your design should be inches by 11 inches (the size of a standard sheet of computer paper).
Number each element and create a key that names each element in your design. For example: Element 1: Two congruent segments. If several elements are combined in one figure, then number each element in that figure and describe each element on the key.
Create instructions, in your own words, describing how to create each element using only a compass and a straightedge.
Give your key and your instructions to a friend and see if they can recreate your wrapping paper design. If she can’t, then revise your key and instructions so that there is no room for confusion.
You will turn in the following:
a key describing each element
a wrapping paper design with the elements numbered
instructions for creating each element, written in your own words...…. MY SUBJECT IS GEOMETRY!!!!!
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Did any of you do this I need help?
i need to do this and it was due almost three weeks ago
how did do it?? or get pass it if you don't know
Design:
1. Quadrilateral with one pair of parallel lines
2. Bisected angle
3. Perpendicular line drawn from a point not on a line to a line
4. Two congruent segments
Key:
Element 1: Quadrilateral with one pair of parallel lines
Element 2: Bisected angle
Element 3: Perpendicular line from a point to a line
Element 4: Two congruent segments
Instructions:
Element 1: Quadrilateral with one pair of parallel lines
1. Start with a straight line segment AB.
2. Using a compass, set the width of the desired quadrilateral.
3. From point A, draw an arc above and below the line segment AB.
4. From point B, draw arcs, intersecting the previous arcs created.
5. Connect the points of intersection to form the quadrilateral ABCD.
6. Check that AD and BC are parallel.
Element 2: Bisected angle
1. Start with an angle formed by two lines, with the vertex as point A.
2. Using a compass, draw an arc with point A as the center, cutting both lines.
3. Label the points of intersection as B and C.
4. Draw a straight line through points B and C.
5. The angle at point A is now bisected into two congruent angles.
Element 3: Perpendicular line drawn from a point not on a line to a line
1. Start with a line segment AB and a point C not on the line.
2. Using a compass, draw an arc with point C as the center, intersecting the line segment AB at points D and E.
3. From points D and E, draw arcs that intersect each other.
4. Connect points C and the intersection of the arcs to form a perpendicular line to segment AB passing through point C.
Element 4: Two congruent segments
1. Start with a line segment AB.
2. Using a compass, open it to an arbitrary width.
3. Put the compass needle at point A and draw an arc.
4. Without changing the compass width, put the needle at point B and draw another arc.
5. The two resulting arcs will intersect at two points. Connect these points to A and B to form two congruent segments.
By providing the key and instructions to your friend, they should be able to recreate your wrapping paper design without confusion. If any confusion arises, revise the key and instructions accordingly.