September 6, 2007...4:42 pm

Constructions Part 1

We started off class with a set of practice problems for finding the midpoint and distance between 2 points. This is in preparation for benchmark #5 on Monday.
Following our review of the benchmark, we looked at two basic constructions, segment bisector (also called the perpendicular bisector) and angle bisector. These two constructions are benchmark #9 (which we will take next Monday). There are really any notes, but here are pictures of each construction:

09-06-07 1412-1 09-06-07 1445

Finally, while 1/2 the class worked on constructions, the other 1/2 worked on HW: #9 Unit 1 Review, in preparation for our first big test. You can download it here.
Coming up:
-BM 5 on Monday, 9/10
-Exam #1 on the first block (11/12)
-Grade Report #1 due second block (13/14)
-BM 3, 4, and 9 on Monday, 9/17

Posting for Points Question:
Explain your steps for constructing a segment bisector and an angle bisector.

35 Comments

  • i never explained the steps i just see how it’s dun and draw it.

  • My first step to create a segment bisector wold be to go three force down the line and draw a half circle. Then from the other side do the same and draw a line from the top ofthe intercecting half circles.

    The first step to creating an obtuse angle bisector is to draw a half circle from the vertex. From the point that the half circle crossed the angle draw another half circle on the other side of the vertex. Do the same from the other side.

  • orozco.d.m per 6

    on the4 angle bisector start with a compus on th vertex then do an arck together on each point on the vertex then draw to more using the 3/4 measurement and start drawing half circles adn you can find the matching point.

  • Step 1: start w/ a segment
    Step 2: use a compass point on the end of the line about 3/4 of the way and make a half circle
    Step 3: do step 2 again on the opposite side
    Step 4: in the center of both half circles use a straight edge to make a line down the center to find the matching points

  • The first step in doing the segment bisector and angle bisector first its a segment ,rays, lines, or plane that intersects a segment at its midpoint its cut in half and you have to use ( ) in your answer formula (x,y) then x one and x two ect …

  • This stuff was kind of confusing.
    I got a little bit of it.
    but not enough to take a benchmark on it yet.
    Ill pay more attention to it in class today and maby learn more about it.

  • For the segment bisector first you measure 3/4 of the segment from an endpoint then draw your half circle on both sides from the 3/4 way mark.Then draw a bisector between the two half circles.

    For the acute angle,first you draw a half circle from the middle of the angle.Then at each end of the angle segments you draw half circles,and thats about it.

  • Hey Mr.F thanks for letting me retake the bm i really didn’t know that i failed the other test. well thanks and i’m looking foward to the other bm coming up. bye and have a nice day!!!

  • To do a segment bisctor you need togo 3/4 of the line and begin there from that continue f to the other side.

    And for a angle bisector the angle is cut into two equal halfs that are evenly measured

  • To create a bisector, first you have to draw a line. Then on that line you have to go three fourths of the way. That is were you make your first two points. Next you get the string or compas and mark it on the rights sid of the first point.

    Draw a half circle through it and another one through the first one. After making the “x” looking shape draw a line through it and threre you have it.

  • line bisector

    Draw a stait line.
    measure three fouths of the way with your compass.
    draw an ark.
    do the same on the other side with the same measurements.

    Angle bisector

    create an angle.
    draw an ark from the vertex
    draw two more arcs from the end points
    draw a line from the ertevs to the meeting point of the two aks

  • Segment Bisector

    Step 1
    draw a line with a straight edge
    Step 2
    measure about 3/4ths of the way across the line
    Step 3
    using a compass, draw two intersecting arcs from each side of the line
    Step 4 draw the segment bisector from where the arcs meet

    Angle bisector
    Step 1
    draw and angle

  • MIne is complex

    Step 1- draw a line
    Step 2- measure three fourths of the way
    Step 3- draw a half circle with the compass
    Step 4- then do it again from the other side
    Step 5- then draw a line right down the middle
    Step 6- make sure that they cross like an “x” and have the points lined up and i’m done!!!

    It doesn’t seem complex but it kinda is.
    ADIOS!!!!!!
    -Nicosha Joosten

  • THE COMMENT ABOVE WAS UNFINISHED
    COONTINUED HERE!!!

    Step 2
    using a compass draw an arc from the vetex
    Step 3
    Where the arc intersects with the sides of the andle draw two intersecting arcs
    Step 4
    When the Arcs meet draw an angle bisector (it should pass THROUGH the vertex)

  • The Segment Bisector is done by:

    Drawing a line with a straight edge.

    Measuring about 3/4 of the way across the line.

    Using a compass, draw two intersecting arcs from each side of the line.

    Draw the segment bisector from where the arcs meet.

    The Angle Bisector is done by:

    Drawing a Angle

    Use a compass to draw an arc from the vertex.

    Draw two more arcs from the end points.

    When the arcs meet then draw the angle bisector.

    ;-)

  • segment bisector
    1) Draw a strait line.
    2) measure your compas 3/4 of the line on the end.
    3) Draw a half circle on both sides.
    4) Draw a angle bisector in the middle.

    acute, obtuse
    1) make eather a acute or an obtuse angle.
    2) Draw a quarter circle from the center.
    3) Draw a angle bisector.

  • Step 1.draw a straight line

    step 2.draw a arc with ur compas roughly 3/4

    step 3.draw 2 intercecting arcs

    step 4.after this is done with the intercepts draw a straight line down the middle

  • First off draw a straight line
    go about 3/4 down the line and use the protractor to draw a half circle
    The repete from the other side
    Draw a line throught the circles
    Draw a half circle from the vertex
    then do it again for the other side.
    Sorry its hard to explain

  • Segment Bisector

    Step #1: Draw a straight line
    Step #2: Measure your compass from the end of the line (3/4)
    Step #3: Draw a half circle from both sides of the line intersecting
    Step #4: Draw a straight line going across the middle

    Angle Bisector

    Step #1: Draw a acute angle or a obtuse angle
    Step #2: Draw a half circle in the center
    Step #3: Draw two half circles in the middle
    Step #4: then draw a straight line through the middle of the half circles

  • Step one i draw a straight line

    then I draw an angle with a compass around more than half way.

    Then i draw 2 arcs that intersect with each other

    Then i draw a line straight down the middle

  • Line bisector

    1. Draw a strait line.
    2. Measure 3/4 of the way with your compass.
    3. Draw an ark.
    4. Do the same on the other side with the same measurements.

    Angle bisector

    1. Create an angle.
    2. Draw an ark from the vertex
    3. Draw two more arcs from the end points
    4. Draw a line from the vertex to the meeting point of the two arks.

  • My first step to make a segment bisector wold be to go 3/4down the line and draw a half circle. Then from the other side do the same and draw a line from the top of the intercecting half circles to the bottom. Draw a right angle where the two lines meet.

    The first step to creating an obtuse angle bisector is to draw a half circle from the vertex. From the point that the half circle crossed the angle draw another half circle on the other side of the vertex. Just reapeat this from the other side.

  • Straight Line
    First you make a line. Then you find 3/4 of the line and use a compass to draw a half circle through the line. Then you draw another one on the other side. Find where the two half circles intersect. Draw a line through the two points.
    Angle
    With an angle yoou make a half circle to make sure that it intersects both sides. Then you make half circles to intersects that curve. Dot the intersect point, then draw a line through it.

  • SEGMENT BISECTOR First I make a line with a straight edge. Next, I start at one end at 3/4 the way with a compass and I make a half circle. Then I go to the other end and I do the same. Lastly I make a straight line down through the middle with a straight edge. I have the line go through the two X’s that the two arches made. ANGLE BISECTOR First I have my angle, I start with the vertex and use a compass to make one arc across the bottom ray of the angle, then I start at the vertex with my compass and make another arc across the top of the angle. When I get my two crossing points I make my line through it with a straight edge.

  • My first step for drawing a bisector would be to draw the line. Second, I would go down the line to about 3/4 and create a half circle. Third, I would do the same thing just from the other side of the line. Fourth, I would draw a line that is between the two half circles going up and down. Last, When I see that the line going up and down is crossing both of the half circles I know that I’m done.

  • Oh sorry, for an Angle Bisector, when you have your angle, simply draw a half cricle that intersects with both of the lines. After that, you make another half circle that intersects the other half circle’s curve. Then, mark the intersect point and draw a straight line through it.

    Other Bisector is above this one, sorry.

  • Segment Bisector:
    1. Draw a straight line
    2. measure your compass about 3/4 across the line
    3. draw a half circle
    4. do the same on the other end
    5. draw a line between where the two circles intersect

    Angle bisector:
    1. Draw an angle
    2. from the vertex, draw an arc, but don’t make it too small
    or too big
    3. from the endpoints of the first arc created, draw another
    two arcs
    4. then, from the vertex, draw a line from there to the part
    where the two arcs meet

  • segment bicectors
    1. start with a line segment
    2. get a string and have a pencil at one end and hold the other with your finger
    3. hold the string on one point of the line and go about 3/4s of the line and draw 1/2 a circle
    4. do the same for the other point
    5. draw a stright line through the middle of the 2 1/2 circles

    angle bisectors
    1. draw an angle
    2. from the vertex draw a 1/2 circle (make sure it passes through both sides of the angle)
    3.from each end points of the 1/2 circle draw 1/2 circles
    4. draw a line through the the middle of the 1/2 circles and the vertex of the angle

  • Segment Bicectors:

    1) you draw a line

    2) measure your compass no more then 1/2 across the line

    3) draw a half cirlce

    4) then draw another half circle on the other end

    5) draw a stright line through the 2 half circles

    Angle Bicerctors:

    1) draw any angle

    2) using you compass start at the vertex and draw a half circle that goes through both sides of the angle

    3) then from each endpoint draw a half circle

    4) draw a line that goes through the vetex and both half circles

    ~then your done~

  • 1. Draw a line.
    2.Pick a point on the line that is more then half the length of the line.
    3. Useing string and a pencil; graw a semicircle from the endpoints ( use the same length as the the line’s point).
    4. Graw a line that conects the vetex and both half circles.

  • On the 4 angle bisector start with a compus on the vertex then do an arck together on each point on the vertex then draw to more using the 3/4 measurement and start drawing half circles and you can find the matching point.

  • This is what i need help on. I wasnt here when we learned this and i need someone to teach me.

  • Angle bisector: 1. draw the angle
    2. making sure it passes through both sides of the angle draw a 1/2 circle from the vertex
    3.from each of the end points of the 1/2 circles draw half circles
    4. draw a line that goes through the vertex and both 1/2 circles

  • sorry mr.f accidentally posted without the segment bisector portion let me fix that.
    segment bisector: 1.start with a line
    2.measure the compass no more then half way across the line
    3. make an arc
    4.then make another arc on the other end
    5. draw a straight line through the arcs.

  • Segment Bisector-
    Step 1) Open compass to greater than halfway
    2) Draw an arc w/ compass from each endpoint that intersects above and below the line.
    3) Draw a line between the two intersections.
    Line is segment bisector.

    Angle Bisector-
    1) Open compass to any medium sized opening.
    2) Draw an arc that intersects both sides of the angle.
    3) Using the same opening, make an arc from each intersection point in the interior of the angle.
    4) Connect, draw a ray from the vertex to the intersection of the arcs you just drew.


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