MATHS- constructions 78/72/79/80/70

    Cards (65)

    • What is the main topic of this lesson?
      Constructing perpendicular bisectors
    • What does the term "perpendicular bisector" mean?
      A line that cuts another line in half at right angles
    • How long is the line drawn in the example?
      8 centimeters
    • Why is accuracy important in constructing a perpendicular bisector?
      To ensure you receive accuracy marks
    • What should you ensure about your compass before using it?
      It should be fairly tight
    • What tools are needed to construct a perpendicular bisector?
      A straight edge and a compass
    • Where should the point of the compass be placed to start drawing an arc?
      On one end of the line
    • What is the purpose of drawing arcs from both ends of the line?
      To find intersection points for the bisector
    • What do you do after drawing the arcs?
      Join the intersection points with a straight edge
    • What is the significance of the line drawn from the intersection points?
      It is the perpendicular bisector
    • What should you leave on your construction lines?
      The arcs and construction lines
    • What does the perpendicular bisector indicate about points on it?
      They are equidistant from the endpoints of the line
    • How do you find points equidistant from two lines?
      By drawing an angle bisector
    • What is the purpose of constructing the angle bisector in the example?
      To find the statue's position
    • Where do the angle bisector and perpendicular bisector intersect?
      At the position of the statue
    • What does the statue's position represent in relation to points A and B?
      It is equidistant from both points
    • What are the steps to construct a perpendicular bisector?
      1. Draw a line segment.
      2. Place compass point on one end.
      3. Draw arcs above and below the line.
      4. Repeat from the other end.
      5. Join the intersection points with a straight edge.
    • What are the properties of points on the perpendicular bisector?
      • Equidistant from endpoints A and B
      • Cuts the line at a right angle
    • How do you construct an angle bisector?
      1. Place compass on vertex of the angle.
      2. Draw arcs that intersect both lines.
      3. Use compass to find intersection of arcs.
      4. Draw a line from the vertex through the intersection.
    • What is an angle bisector?
      A line that cuts an angle in half
    • If a 60-degree angle is bisected, what are the measures of the two resulting angles?
      30 degrees on each side
    • What is true about every point on the angle bisector?
      It is equidistant from the two lines
    • What is the first step to draw an angle bisector?
      Get a compass and a pencil
    • Where should you place the point of the compass to start drawing the angle bisector?
      On point B of the angle
    • What do you do after placing the compass on point B?
      Draw arcs on both arms of the angle
    • After drawing the arcs, where do you place the compass to create the angle bisector?
      At the intersection of the arc and line
    • What happens when you connect the intersection points of the arcs?
      You create the angle bisector accurately
    • What can you use to verify the accuracy of the angle bisector?
      A protractor to measure the angles
    • What is the exam question example given in the material?
      Construct the bisector of angle ABC
    • What are the steps to construct an angle bisector?
      1. Get a compass and pencil.
      2. Place the compass on point B.
      3. Draw arcs on both arms of the angle.
      4. Place the compass at the intersection of the arc and line.
      5. Draw arcs towards the center of the angle.
      6. Connect the intersection points of the arcs.
    • What are the properties of an angle bisector?
      • Cuts the angle in half
      • Every point is equidistant from the two lines
      • Creates two equal angles
    • What tools do you need to construct a perpendicular line?
      A straight edge, pencil, and compasses
    • What is the first step in constructing a perpendicular line through a given point?
      Set the compass point on the given point
    • How do you create arcs when constructing a perpendicular line?
      Draw arcs on either side of the line
    • Why is it important to keep the compass size the same when drawing arcs?
      To ensure accurate intersection points
    • What do you do after drawing the arcs to find the intersection points?
      Place the compass point on the intersection points
    • What is the purpose of drawing arcs below the line?
      To find the intersection points for the perpendicular
    • What should you do to verify that the line is perpendicular?
      Use a protractor to check for 90°
    • How do you draw the perpendicular line after finding the intersection points?
      Align the ruler with the given point and intersection
    • If asked to construct a 90° angle, what would you do differently?
      Only draw the first section of the angle
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