AC9M8SP01Year 8SpacePractised on site

AC9M8SP01 — Year 8 Space

Official Curriculum Content Description:

identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

Worked Examples (1)

Example 1Congruence & Similarity Criteria
Two triangles have side lengths 3,4,53, 4, 5, and 12,16,2012, 16, 20. What is the relationship between the two triangles (congruent, similar, or neither)?
Common mistake: Confused congruence (equal sides) with similarity (proportional sides), or vice versa.
Correct Answer:Similar only (sides in proportion, not congruent)
Accepted: Also accepted: similar.
Worked Solution:
1. Compare the side lengths of the two triangles elementwise and as ratios. 2. The side lengths are in a constant ratio (a scale factor), but not equal, so the triangles are similar only, not congruent.

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