Theorems Flashcards
What are the sum of the interior angles of a triangle?
180 degrees
Which angle is greater?
The angle opposite the longer side is greater
Which angle is smaller?
The angle opposite the shorter side
What is the size of the exterior angle formed?
The exterior angle formed is equal to the sum of the two interior opposite angles
What is the sum of the three exterior angles of a triangle?
360 degrees
What is Pythagoras’ theorem?
The square on the hypotenuse is equal to the sum of the squares on the two other sides.
What is the sum of the interior angles of a quadrilateral?
360 degrees
What is the sum of the four exterior angles?
360 degrees
What is the sum of the interior angles of an n-sided polygon?
2n-4 right angles
What is the sum of the exterior angles of an n-sided polygon?
360 degrees
What is the size of the angle at the center of a circle?
It is twice any angle at the circumference standing on the same arc
What is the size of the angle in a semi-circle?
90 degrees
Are angles at the circumference and standing on the same arc equal?
Yes
What is the size of opposite angles in cyclic quadrilateral?
The angles are supplementary
What is the size of the exterior angle of a cyclic quadrilateral?
Exterior angles are equal to the interior opposite angle
