How do you construct an equilateral triangle with a compass?

How do you construct an equilateral triangle with a compass?
Place your compass point on A and measurethedistance to point B. Swing an arc of this size above (or below)thesegment. 2. Without changing the span on the compass,placethe compass point on B and swing the same arc,intersectingwith the first arc.


Accordingly, how do you make an equilateral triangle with a compass?

Method 1 Using a Compass

  1. Draw a straight line. Lay your ruler on the paper, then traceapencil along the straight edge.
  2. Span the segment with your compass.
  3. Trace a quarter-circle arc.
  4. Switch the compass around.
  5. Draw a second arc.
  6. Mark the point where the two arcs cross.
  7. Finish the triangle.

Also, how do you construct an inscribed triangle? Bisect another angle. Where they cross isthecenter of the inscribed circle, called theincenter.Construct a perpendicular from the center point toone sideof the triangle. Place compass on the center point,adjustits length to where the perpendicular crosses thetriangle,and draw your inscribedcircle!

Considering this, how do you construct an equilateral triangle without a compass?

Rotate the ruler until the mark representing thelengthof the base line touches the perpendicular bisector. If itcannottouch, extend the bisector. Draw the line, then repeatthisprocess to draw the third line. You now haveatriangle with three congruent sides and threecongruentangles, or an equilateral triangle.

What is a scalene triangle?

A scalene triangle is a triangle thathasthree unequal sides, such as those illustrated above. SEEALSO:Acute Triangle, Equilateral Triangle,IsoscelesTriangle, ObtuseTriangle,Triangle.

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How do you cut the perfect triangle?


  1. Take your square of paper.
  2. Fold it in half vertically to determine themid-line.Unfold.
  3. Measure the bottom side of the square.
  4. Memorize this measurement.
  5. Draw a line with the ruler and pencil.
  6. Repeat the previous two steps for the other side ofthetriangle.
  7. Cut out on your pencil lines.
  8. Finished.

How do you construct a perpendicular bisector?

The perpendicular bisector of a line segment

  1. open the compass more than half of the distance between A andB,and scribe arcs of the same radius centered at A and B.
  2. Call the two points where these two arcs meet C and D. Drawtheline between C and D.
  3. CD is the perpendicular bisector of the line segment AB.
  4. Proof.

How do you bisect an angle?

Construction: bisect ∠ABC.

  1. STEPS:
  2. Place compass point on the vertex of the angle (point B).
  3. Stretch the compass to any length that will stay ONtheangle.
  4. Swing an arc so the pencil crosses both sides (rays) ofthegiven angle.
  5. Place the compass point on one of these new intersectionpointson the sides of the angle.

How do you make an equilateral triangle with paper?

Here’s an easy way to fold any rectangleofpaper into a triangle with three sides thesamelength. Fold the paper in half long-ways, then open itoutflat. Fold a bottom corner up to touch the fold line,makinga sharp point on the other corner. Fold under thecorner and thentuck it in out of the way.

How do you construct a square inside a circle?

Construct: a square inscribed in a circle.

  1. STEPS:
  2. Using your compass, draw a circle and label the center O.
  3. Using your straightedge, draw a diameter of the circle,labelingthe endpoints A and B.
  4. Construct the perpendicular bisector of the diameter, .
  5. Label the points where the bisector intersects the circle asCand D.

How do you find the height of an equilateral triangle?

Explanation: An equilateral triangle hasthreecongruent sides, and is also an equiangular trianglewiththree congruent angles that each meansure 60 degrees.Tofind the height we divide the triangleintotwo special 30 – 60 – 90 right triangles by drawing alinefrom one corner to the center of the oppositeside.

What are the angles of an equilateral triangle?

Here’s an example of an equilateraltriangle:You’ll notice that along with this triangle’ssides, itsthree angles are also all equal. Since the sum ofatriangle’s angles is always 180 degrees, eachanglein an equilateral triangle must measure60degrees.

What are the types of triangle?

To recap, a triangle is a 3-sided,3-angledpolygon. There are a number of different types oftriangles,such as equilateral triangles, righttriangles,scalene triangles, obtuse triangles,acutetriangles, and isosceles triangles.

How do you draw an isosceles triangle?

Method 1 Given All Side Lengths

  1. Assess what you know. To use this method, you should knowthelength of the triangle’s base and the length of the twoequalsides.
  2. Draw the base.
  3. Set the compass.
  4. Draw an arc above the base.
  5. Draw an intersecting arc above the base.
  6. Draw the sides of the triangle.

How do you construct parallel lines?

Construct: a line through point P parallel togivenline.

  1. STEPS:
  2. Using your straightedge, draw a transversal throughpointP.
  3. Using the construction COPY AN ANGLE, construct a copy oftheangle formed by the transversal and the given line such thatthecopy will be located UP at point P.

How do you draw a perfect hexagon?

Method 1 Drawing a Perfect Hexagon UsingaCompass

  1. Draw a circle with a compass.
  2. Move the compass point to the edge of the circle.
  3. Make a small mark on the edge of the circle withthepencil.
  4. Move the compass point to the mark you made.
  5. Make another mark on the edge of the circle with a pencil.

Can you put copies of an equilateral triangle together to form a straight angle?

An equilateral triangle can not be arighttriangle. In a right triangle, however, the 3anglescan NOT be congruent. This is because in arighttriangle, one angle equals 90 degrees.Therefore, youcan’t have 3 angles equal 90degrees.

How do you construct a perpendicular line?

Construct: a line through P perpendicular togivenline.

  1. STEPS:
  2. Place your compass point on P and swing an arc of any sizethatcrosses the line twice.
  3. Place the compass point on one of the two locations wherethearc crossed the line and make a small arc below the line (ontheside where P is not located).

How do you construct a rectangle?

For example, here is one way to constructarectangle:

  1. Choose arbitrary points A and B in the plane and drawsegmentAB.
  2. Raise a perpendicular m to AB at A.
  3. Raise a perpendicular n to AB at B.
  4. Choose an arbitrary point C on line n.
  5. Drop a perpendicular from point C to line m.
  6. Then quadrilateral ABCD is a rectangle.

How do you construct a pentagon?

The steps are as follows:

  1. Draw a circle in which to inscribe the pentagon and markthecenter point O.
  2. Draw a horizontal line through the center of the circle.
  3. Construct a vertical line through the center.
  4. Construct the point M as the midpoint of O and B.

How do you construct a 90 degree angle?


  1. Mark the vertex of your angle anywhere on the paper.
  2. Draw a ray MN, extending in any direction and ofanylength.
  3. Place tip of the compass on point M and draw a circlecuttingthe ray MN at some point (say P).
  4. Keep the width of the compass the same.
  5. Keep the width of the compass the same.

How do you construct a rhombus?

Steps of Construction:

  1. Draw a line segment AC = 5.2 cm.
  2. Draw perpendicular bisector of AC.
  3. With O as centre and radius equal to half of BD(3.2 cm)drawarcs on either side of AC on the perpendicular bisector.
  4. Join points A, B; points B, C; points C, D and points A,D.
  5. ABCD is the required rhombus.

What is a circle inside a triangle called?

In geometry, the incircle or inscribed circle ofatriangle is the largest circle contained inthetriangle; it touches (is tangent to) the three sides.Thecenter of the incircle, called the incenter, can be foundasthe intersection of the three internalanglebisectors.

How do you construct a circumscribed circle of a triangle?

Circumscribe a Circle on a Triangle

  1. Construct the perpendicular bisector of one sideoftriangle.
  2. Construct the perpendicular bisector of another side.
  3. Where they cross is the center of the Circumscribedcircle.
  4. Place compass on the center point, adjust its length toreachany corner of the triangle, and draw yourCircumscribedcircle!

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