1. 25. Similarity and Congruence

2. Similarity and Congruence
learning objectives:
understand and use SSS, SAS, ASA and RHS conditions to prove the congruence of triangles using formal arguments and to verify standard ruler and a pair of compasses constructions (8.1)
recognise that all corresponding angles in similar figures are equal in size when the lengths of sides are not (8.4)
understand similarity of triangles and of other plane figures, and use this to make geometric inferences (8.4)
formal geometric proof of similarity of two given triangles (8.4, 8.5)
Reference Material
10 Ticks:
MEP:

3. Similarity and Congruence - Area
learning objectives:
understand the effect of enlargement for perimeter and area of shapes (26.1)
use simple examples of the relationship between enlargements and areas of simple shapes (26.1)
use the effect of enlargement on areas of shapes (26.1)
Reference Material
10 Ticks:
MEP:

4. Similarity and Congruence - Volume
learning objectives:
understand the effect of enlargement for volume of solids (26.2)
understand enlargement doe not have the same effect on area and volume (26.2)
use simple examples of the relationship between enlargements and volumes of simple solids (26.2)
use the effect of enlargement on volumes of solids (26.2)
Reference Material
10 Ticks:
MEP:

5. Similarity and Congruence - relationships
learning objectives:
know the relationships between linear, area and volume scale factors of mathematically similar shapes and solids (26.3)
Reference Material
10 Ticks:
MEP:

6. Your turn