1 Study the diagrams and fill in the correct statement or appropriate reason. 1.2 Name the type of triangle or quadrilateral according to the information given.

Here are the solutions to the questions:

1.1 Study the diagrams and fill in the correct statement or appropriate reason.

a)
Statement: $\hat{1} + \hat{2} = 180^\circ$
Reason: Angles on a straight line

b)
Statement: $\hat{2} = \hat{A} + \hat{B}$
Reason: Exterior angle of a triangle is equals the sum of the two opposite interior angles

c) In right-angled triangle ABC:
Statement: $AC^2 = AB^2 + BC^2$
Statement: $BC^2 = AC^2 - AB^2$
Reason: Theorem of Pythagoras

1.2 Name the type of triangle or quadrilateral according to the information given.

a)
Name: Equilateral triangle

b)
Name: Obtuse-angled triangle

c)
Name: Isosceles triangle