Page 289 - ICSE Math 8

CONSTRUCTION OF QUADRILATERALS

Building Blocks of Quadrilaterals

Four sides and Three sides and two Two adjacent sides Three sides and two Four sides and
one diagonal diagonals and three angles included angles one angle

The five building blocks must also satisfy (wherever relevant):
• The triangle inequality property
• Angle-sum property of a quadrilateral

THREE-DIMENSIONAL FIGURES

Polyhedrons

Prism: Side faces are Pyramid: base polygon, triangles
parallelograms and bases are as side faces
congruent parallel polygons
Right pyramid

Oblique Prism Right Prism Regular pyramid

Triangular pyramid
Lateral faces • Length = Height
are parallello- • All lateral faces are rectangular
grams Quadrilateral pyramid
• Lateral edges = Height of prism
• No. of lateral edges = No. of lateral
faces = No. of sides in the base

Triangular Prism
6 vertices, 9 edges, 2 triangular bases, 3 lateral faces

Rectangular Prism
8 vertices, 12 edges, 2 rectangular bases, 3 lateral faces

Pentagonal Prism
10 vertices, 15 edges, 2 pentagonal bases, 5 lateral faces

Platonic Solids

Tetrahedron or Hexahedron Octahedron Dodecahedron Icosahedron
Triangular pyramid or Cube

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