Geometry 0 (intro)

posted by Mr Johari
source: GCSEBitesize


Task:

An angle can be defined as two rays or two line segments having a common end point. The endpoint becomes known as thevertex. Anangle occurs when two rays meet or unite at the same endpoint.











1. How may degrees are there in one full turn?
2. Imagine you are facing North. You turn clockwise through 90 degrees. Which direction are you facing now?
3. Imagine the capital letter M. What letter does it look like when it's rotated 180 degrees?
4. An angle less than 90 degrees is known as ...
5. An angle between 90 degrees and 180 degrees is known as ...
6. If two of the angles inside a triangle are 90 degrees and 50 degrees, what is the third angle? What angle property/properties did you use in you reasoning?
7. Are the lines in the capital letter L parallel or perpendicular?
8. Will two parallel lines ever cross? Why?
Post your answers undercomment:

6 comments:

  1. 1,there are 360º
    2.East
    3.W
    4.Acute
    5.obtuse
    6.It is 40º. A triangle is always 180º with only 3 sides.
    7.Perpendicular
    8.no. They are the same line and thus will not meet as they both are going in the same direction and at the same angle of line.

    ReplyDelete
  2. 360º
    East
    W
    acute
    obtuse
    40º. In a triangle, all the angles add up to 360º, so if 2 of the angles are 90º and 50º, the last angle would be 40º
    Perpendicular
    The 2 lines will never cross, as they both have the same angles.

    ReplyDelete
  3. Q1.360˚
    Q2. East
    Q3. W
    Q4. acute angle
    Q5. Obtuse angle
    Q6. The angles inside a triangle add up to 180˚.
    So if two of the angles are 50˚ and 90˚, naturally the last angle will
    be:
    180˚ - 90˚ - 50˚ = 40˚
    Q7. Perpendicular
    Q8. No. Since they are parallel to each other, that will mean that they are side by side, facing the same direction and when you put a ruler perpendicular to the line, take another ruler and slide across the ruler, the ruler will also outline the second line, and the second line perfectly fits the ruler.

    ReplyDelete
  4. 1. How may degrees are there in one full turn?

    360°

    2. Imagine you are facing North. You turn clockwise through 90 degrees. Which direction are you facing now?

    East

    3. Imagine the capital letter M. What letter does it look like when it's rotated 180 degrees?

    W

    4. An angle less than 90 degrees is known as ...

    Acute angle

    5. An angle between 90 degrees and 180 degrees is known as ...

    Obtuse angle

    6. If two of the angles inside a triangle are 90 degrees and 50 degrees, what is the third angle?

    40°

    What angle property/properties did you use in you reasoning?

    A triangle has three angles and they sum up to 180°

    7. Are the lines in the capital letter L parallel or perpendicular?

    Perpendicular to each other.

    8. Will two parallel lines ever cross? Why?

    No because they have the same angles from the center of the lines...

    ReplyDelete
  5. Answers:

    1. There are 360 degrees in one full turn.
    2. I am facing towards the East direction.
    3. It looks like the letter "W" when "M" is rotated 180 degrees.
    4. An angle less than 90 degrees is known as an acute angle.
    5. An angle between 90 degrees and 180 degrees is known as an obtuse angle.
    6. The third angle has 40 degrees. The sum of the angles in the triangle adds up to a total of 180 degrees and only has 3 corners.
    7. The lines in the capital letter L are perpendicular due to the right angle at the corner of the L.
    8. Two parallel lines will never cross each other because they they are always at the same distance apart and points at the same direction.

    ReplyDelete
  6. 1. 360º
    2. East
    3. W
    4. acute
    5. obtuse
    6. 40º. The sum of the angles in a triangle is 180º. Therefore, 180º-90º-50º = 40º!
    7. Perpendicular
    8. No... :) Since the parallel lines are moving towards the exact same direction, it will not pass through each other.

    ReplyDelete