Circle Theorems
this is a stright line that only touches a a circle at one point
What is a tangent
a line that cuts another line in half at right angles
what is perpendicular bisector
A triangle that has two sides that are the same length and two angles that are the same.
What is an isosceles triangle?
Sine, cosine and tangent
What are the 3 basic functions of trigonometry?
The axis that moves things up and down
What is direction the of Y-axis?
the angle in this shape is always 90 degrees
what is a semicircle
a line that cuts an angle in half
what is angle bisector
The sum of all angles in a triangle is 180 degrees.
What is the sum of interior angles of a triangle.
The triangle needs a right angle
What kind of triangle is needed in order to use SOHCAHTOA?
A transformation that rotates an object around a point
What is a rotation?
the theory that the angle between a chord and a tangent is equal to the angle in the alternate segmant
What is Alternate segmant theory
a process where you create an accurate geometric object using a pair of compasses and a straight edge (and a pencil)
what is construction
a² + b² = c²
What is the pythagoras theorem?
Sine(θ) = Opposite side/Hypotenuse
How would you find the adjacent side when given the opposite and hypotenuse side?
The translation of a shape three times to the left
What does -3 mean on the X-axis?
This theory states that opposite angle have the sum of 180 degrees
what is a cyclic quadrilateral
Set the distance between the point of your compasses and the pencil to be greater than the distance between the point and the line.
Place the point of the compasses onto the point and draw an arc that intersects the line in two places.
Make sure that the distance between the point of the compasses and the pencil is greater than half the distance between the intersection points. Place the point of the compasses on a point of intersection, and sketch an arc above and below the line.
Keeping the distance between the point on the compasses and the pencil the same, do this again from the other point of intersection. These should intersect with the previous arcs.
Join the original point with the point where the arcs intersect.
what is the instuctions to construct a perpendicular to a line, from a point?
The sum of all angles is 360 degrees
What is the sum of exterior angles of a triangle?
The side of a right angle that is opposite to the right angle
What is a hypotenuse?
Transformations that don't alter size or angles of a shape
Why are rotations and reflections similar?
Antother common name of which Euclid, a greek mathematician who wrote the book named elements, was often called
who is the "father of geometry"
pencil, ruler, compasses, protractor
What is equipments needed to construct bisectors
Pythagoras of Samos
What is the full name of the creator of the Pythagoras Theorem
Hipparchus of Nicaea
Who first founded trigonometry?
Altering a shape through flipping, moving or resizing
What is the definition of transformation?