Geometry

Question 1

If one of the sides of an inscribed triangle is the diameter of the circle, what is FAX about the triangle?

Answer 1

It’s a right triangle (no printer xP)

Question 2

Pythagorean theorem

Answer 2

For a right triangle, a^2 + b^2 = c^2

Question 3

What is the sum of the interior angles of a polygon?

Answer 3

(n-2)*180. Aka anything with four sides will always be 180. This is because the sum of the angles of a triangle is 180, and when you cut up a polygon into triangles you get n -2, where n is the number of sides

Question 4

Area of a trapezoid

Answer 4

(big base + small base) ( height) / 2

Question 5

Area of a parallelogram

Answer 5

bh

Question 6

What are the two special right triangles and why are they special?

Answer 6

-30:60:90: this is an equilateral triangle split into two (lengths are x, x sqrt (3), 2x)
-45:45:90 (isoceles right triangle, exactly half of a square. Memorize that x, x, x sqrt (2) )
You only need the length of one side to determine the length of the other two sides

Question 7

Rules for “possible” triangles

Answer 7

The sum of any two sides MUST be greater than the third side

Question 8

The exterior angle of a triangle is equal to teh sum of the opposite two interior angles

Answer 8

‘C = a + b

Question 9

If a right triangle is inscribed in a circle…

Answer 9

its hypotenuse is the diamter