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Two triangles stand on the same base and lie between the same pair of parallel lines. What follows?
AThey are congruent shapes
BThey are right angled
CThey are equal in area
DThey are similar shapes
Answer & Solution
Correct answer: C. They are equal in area
1. The area of a triangle depends on its base and its perpendicular height.
2. Two parallel lines stay the same distance apart everywhere between them.
3. So both triangles have the same height as well as the same base.
4. Equal base and equal height give equal area, however different the shapes look.
5. Congruence would need matching sides and angles, which does not follow here.
_Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 8: Euclidean geometry_