Step by step constructions (fill in the blank)

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CONSTRUCTIONS (G.CO.12)

Watch the video of each construction on the link provided. Fill in the blanks to complete the steps needed to make each construction.

Copying a line segment:

http://www.walch.com/rr/00002

Step 1: Mark a ______________ that will be ______________________ of the new line.

Step 2: ____________________ on one end of the line.

Step 3: Adjust ____________________________ to the other end of the line.

Step 4: Without _______________________________________________, move the compass to the point you created.

Step 5: ______________________________ near where the end of the new line will be.

Step 6: Pick a point on the arc to be ______________________________ of the new line.

Step 7: ________________________________________ between the two points.

Copying an angle:

Step 1: Mark a point P to be the ________________ of the new angle.

Step 2: Draw a ray in any ______________ and any ________________. This will be _________________ of the new angle.

Step 3: Set the compass point on A (the vertex of the angle) and ___________________________ any convenient width.

Step 4: Draw an arc across __________________________________________, creating points J and K (two new points).

Step 5: Without adjusting the compass width, move the compass to P (the vertex created in step 1) and draw _______________________, crossing PQ at M.

Step 6: Set the compass on K and set its width to J.

Step 7: Move the compass to M and ___________________________ crossing the first, creating point L.

Step 8: Draw ______________ PR from P through L.

Bisecting a segment:

1) Place the ______________________ point on one end of the line.

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3) Without adjusting the compass_________________, draw an __________ on each ___________________.

4) ___________________________the compass width, __________________on the other end of the line.

5) Draw a __________________ between the __________________ intersections.

6) You have successfully constructed a _____________________________________.

Bisecting an angle:

1) Place the compass point on the _____________________________.

2) Set the compass to ________________ convenient width.

3) Draw an ____________ across each _____________.

4) Compass can be ___________________ at this point if desired.

5) From where an ______________ crosses a leg, make an ____________ in the angle’s interior.

6) ____________________________________ the compass width, ________________ for the other leg.

7) Draw a ______________ from Q to where the ________________________.

8) The line just drawn ____________________________________________________.

Constructing Perpendicular lines from an external point:

Start with a line and point R which is not on that line.

1. Place the compass on the given external point R.

2. Set the compass' width to approximately _______ more than the distance to the line. The exact width does not matter.

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5. Place a ___________ between R and the point where the arcs intersect. Draw the _________ line from R to the line, or beyond if you wish.

6. Done. This line is perpendicular to the first line and passes through the point R. It also bisects the segment PQ (divides it into two equal parts)

Parallel lines

http://www.mathopenref.com/constparallel.html

Start with a line PQ and a point R off the line.

1. Draw a _________ line through R and across the line PQ at an angle, forming the point J where it intersects the line PQ. The exact angle is not important.

2. With the compasses' width set to about ________ between R and J, place the point on J, and draw ________ across both lines.

3. Without adjusting the compasses' width, move the compasses to R and draw a __________ to the one in step 2.

4. Set compasses' width to the distance where the ________ crosses the two lines.

5. Move the compass to where the ________ crosses the transverse line and draw an arc across the upper arc, forming point S.

6. Draw a __________ through points R and S.

7. Done. The line RS is parallel to the line PQ

Assignment:

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CONSTRUCTIONS (G.CO.13)

Equilateral Triangle Inscribed in a Circle

https://www.youtube.com/watch?v=Wa3EeTw3-o0

1. Start with by drawing circle O with your ______________

2. Place a point on your circle and use your straight edge to construct the ______________ that goes through

the center of the circle (O) and this new point.

3. Draw the other _______________ of the diameter once you have done step 2.

4. Place the point of your compass on one of your two endpoints of your diameter and construct another circle

with the same ____________ as your first circle. After you have done this, you should have 2 circles that are

overlapping.

5. Mark the ____________ places where your circles intersect with points.

6. Using the points where your two circles intersect (step 5) and the other endpoint of the original circle that

you did not use to construct the new circle, connect the three points to form _____________ congruent

segments.

7. These three congruent segments create your equilateral triangle because equilateral means

______________ sides.

Square Inscribed in a Circle

http://www.mathopenref.com/constinsquare.html

Start with the given circle, center O.

1. Mark a point A ______ the circle. This will become one of the vertices of the square.

2. Draw a ____________ line from the point A, through the center and on to cross the circle again, creating point

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6. Draw a line through where the arc pairs cross, making it long enough to touch the circle at top and bottom,

creating new points ______ and _______. This is a diameter at right angles to the first one AC.

7. Draw a line between each successive pairs of A, B, C, and D.

8. You have now constructed a square ______________ in the given circle.

Regular Hexagon Inscribed in a Circle

http://www.mathopenref.com/constinhexagon.html

We start with the given circle, center O.

1. Mark a point anywhere on the circle. This will be the first ___________ of the hexagon.

2. Set the compass on this point and set the width of the compass to the ___________ of the circle. The

compasses are now set to the ____________ of the circle.

3. Make an __________ across the circle. This will be the next vertex of the hexagon. (It turns out that the side

length of a hexagon is equal to its circumradius – the distance from the center to a radius).

4. Move the compass on to the next vertex and draw an other _________. This is the _________ vertex of the

hexagon.

5. Continue in this way until you have all __________ vertices.

6. Draw a line between each successive pairs of vertices, for a total of _________ lines.