How do you find x ????
2 answers:
Remark
You can get an idea of how this should be solved by drawing a diameter from the intersection of the tangent and the circumference of the circle and the center of the circle. When you do this and when you draw an angle from either side of the diarmeter joining the two ends of the diameter to the circumference of the circle you get 90 degrees. See the first diagram on the left.
Now what you want is the chord tangent theorem.
The angle at the intersection of the chord and the the tangent point is one half the size of the arc formed by the endpoints of the chord and the circumference of the circle. See diagram on the right.
step one
Draw a line showing what you are talking about.
Step two
82 * 2 = 164
You can get an idea of how this should be solved by drawing a diameter from the intersection of the tangent and the circumference of the circle and the center of the circle. When you do this and when you draw an angle from either side of the diarmeter joining the two ends of the diameter to the circumference of the circle you get 90 degrees. See the first diagram on the left.
Now what you want is the chord tangent theorem.
The angle at the intersection of the chord and the the tangent point is one half the size of the arc formed by the endpoints of the chord and the circumference of the circle. See diagram on the right.
step one
Draw a line showing what you are talking about.
Step two
82 * 2 = 164
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The type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.