G2 Transformations and Congruence

Question 1

Which four ways can shapes be congruent?

Answer 1

• SSS: side, side, side (3 sides the same)
• SAS: side, angle, side (two sides and the angle in between are all the same)
• ASA: angle, side, angle (two angles and the side in between are all the same)
• RHS: right angle, hypotenuse, side (right angled triangles with the hypotenuse and one other side are all the same)

Question 2

a) enlargement with a fractional scale factor…..
b) enlargement with a positive scale factor (if bigger than 1)…..
c) enlargement with a negative scale factor (if bigger than 1)…..

Answer 2

a) reduces the size of the shape
b) increases the size of the shape
c) increases the size of the shape and produces it upside down on the opposite side of the centre.