1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slamgirl [31]
2 years ago
11

Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto

r with a compass and straightedge. Describe the similarities and differences between their construction steps. please help quick
Mathematics
1 answer:
Genrish500 [490]2 years ago
7 0

The similarities are;

  • Compass and a straight edge required for both construction
  • Both construction includes a line drawn from the intersection of arcs to bisect a segment or an angle
  • The bases for the construction of both bisector are the ends of segment and the angle to be bisected
  • The width of the compass when drawing intersecting arcs, is more than half the width of the segment or angle being bisected

The differences are;

  • Two points of intersection of arcs are used in the segment bisector while only one is requited in an angle bisector
  • The bisecting line crosses the segment in a segment bisector, while it stops at the vertex of the angle being bisected in an angle bisector

The sources of the above equations are as follows;

The steps to construct a segment bisector are;

  • Place the needle of the compass at one of the ends of the line segment to be bisected
  • Widen the compass so as to extend more than half of the length of the segment to be bisected
  • Draw two arcs, one above, and the other below the line
  • Place the compass needle at the other end and with the same compass width draw arcs that intersects with the arcs drawn in the above step
  • Draw a line segment by placing the ruler on the points of intersection of the arcs above and below the line

The steps to construct an angle bisector are;

  • With the compass needle at the vertex, open the pencil end such that arcs can be drawn on the rays (lines) forming the angle
  • Draw an arc on both lines forming the angle
  • Place the compass needle at one of the intersection points and draw an arc in between the lines forming the angle
  • Repeat the above step with the same compass width from the other intersection point with the rays forming the angle
  • Join the point of intersection of the two arcs to the vertex of the angle to bisect the angle

Therefore, we have;

The similarities are;

  • A compass and a straight edge can be used for both construction
  • A straight line is drawn from the point of intersection of arcs to bisect the segment or the angle
  • The arcs are drawn from the ends of the segment or angle to be bisected
  • The width of the compass is more than half the width of the line or angle when drawing the arcs

The differences are;

  • In a segment bisector, the intersection point is above and below the line, while in an angle bisector only one pair of arcs are drawn to intersect above the line
  • The bisecting line passes through the segment being bisected, while the line stops at the vertex in an angle bisector

Learn more about the construction of segment and angle bisectors here;

brainly.com/question/17335869

brainly.com/question/12028523

You might be interested in
Use substitution to solve the system.<br> x=3y+5<br> 5x-4y=14<br> ______________<br> x=<br> y=
nataly862011 [7]
So what you do is go 5(3y+5)-4y=14 which equals 15y+25-4y=14 which turns into 11y+25=14 than you move the 25 over which equals 11y=-11 so y=-1 then you enter -1 in for y which looks like 5x-4(-1)=14 than you solve that which is 5x+4=14 than you move the 4 over and you get 5x=10 than x=2

x=2
y=-1
8 0
3 years ago
13 - (n • 6) = 50<br> Pls help what would be the equation
olya-2409 [2.1K]

Answer:

n=-17/3

Step-by-step explanation:

16-(n.6)=50

16-6n=50

-6n=34

n=34/-6

n=-17/3

5 0
2 years ago
If it takes 20 seconds to ring up a customer how many items are being purchased
valkas [14]

Answer: proly like 2

Step-by-step explanation:

Because you have to pay and scan!

5 0
3 years ago
On his bike, Jason can travel 8 miles in 50 minutes.
d1i1m1o1n [39]

Answer:

24 miles

Step-by-step explanation:

50 minutes = 8 miles

100 miles = 16 miles

150 minutes = 24 miles

4 0
2 years ago
Read 2 more answers
B. (4,-7)
zvonat [6]

Answer:

b)-3

c)17

d)-11

Step-by-step explanation:

4,-7)

-3

5 0
3 years ago
Other questions:
  • What is 3.4 * 5.6 answer?
    15·2 answers
  • Which functions represent exponential growth?
    9·1 answer
  • More math help plz. there are 4 questions thank you.
    11·2 answers
  • Mark all of the whole numbers below.<br><br> 0<br><br> -1<br><br><br><br> 5<br><br> 10
    12·1 answer
  • The orthocenter of an obtuse triangle always lies __________.
    7·1 answer
  • Which measurement is most accurate to describe the weight of a baby
    5·2 answers
  • Two consecutive even intergers whose sum is 110
    10·1 answer
  • What is the best first step to find the slope and y-intercept when given an equation of a line?
    7·2 answers
  • 6x2-2x3+x4<br> Please help
    5·1 answer
  • PLEASE HELP MEEE AM BEING TIMED
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!