Chapter 1 Base - Geometry & Trigonometry

What is this rule?

Angles on a straight line add to 180°

What is this rule?

Angles at a point add to 360°

What is this rule?

Vertically opposite (X) angles on straight lines are equal.

What is this rule?

Interior angles of a triangle equal 180°

What is this rule?

Interior angles in a quadrilateral equal 360°

What is this rule?

Exterior angle of a triangle equals sum of opposite interior angles.

What is this rule?

Base angles in an isosceles triangle are equal.

What is this rule?

Interior and exterior angles & sides of equilateral triangle are equal.

What is this rule?

Corresponding angles (F) on parallel lines are equal.

What is this rule?

Alternate angles (Z) on parallel lines are equal.

What is this rule?

Co-interior angles on parallel lines are equal.

What is this rule?

a²+b²=c²

Solve for “a” - Use calculator input

Solve for “b” - Use calculator input

Solve for “c” - Use calculator input

What is the formula to find the length of “y”

y = Sinθ

What is the formula to find the length of “x”

x = Cosθ

What is the formula the co-ordinates for point p?

(cosθ,sinθ)

What is the formula to find θ?

Label X

Adjacent

How do you calculate the area of a triangle?

How do you calculate the area of a triangle without its height?

How do you work out the area of a non right angled triangle?

This formula works for all triangles.

What sides do you need for this formula to work?

the angle and the two adjacent sides to it. side, Angle, side.

What is the cosine rule used for?

Calculating the length of a side or the angle of a non right angled triangle.

What is this formula used for?

Calculating the length of a side or the angle of a non right angled triangle.

What is this formula used for?

Finding the length of a side of a non right angled triangle.

What is this formula used for?

Finding an angle of a non right angles triangle.

This angle is?

Corresponding

When would you use the cosine rule?

On non right angled triangles.

What formula would you use to solve this problem?

Cosine rule

What formula would you use to solve this problem?

Cosine rule

What formula would you use to solve this problem?

Sohcahtoa

“x” equals?

22°

What is the first step to solve for length AC

Find angle ABC

What is the first step to solve for the bearing from C to A?

Find angle from North to BC line

What is the angle from North to the BC Line

10° - Co-interior angles = 180

What is the angle from North to line AC?

30° - Angles around a point = 360, Co-interior angles = 180