Geometry - Properties of Shapes

How many sides does a pentagon have?

• A4
• B5✓
• C6
• D8

Answer: A pentagon is a shape with 5 sides.

What is the sum of the angles in a triangle?

• A90°
• B180°✓
• C270°
• D360°

Answer: The sum of all angles in a triangle is always 180°.

How many sides does an octagon have?

• A6
• B7
• C8✓
• D9

Answer: An octagon is a shape with 8 sides.

What is the sum of the angles in a quadrilateral?

• A180°
• B270°
• C360°✓
• D540°

Answer: The sum of all angles in a quadrilateral is always 360°.

Which of these is a regular polygon?

• AA rectangle with sides 4cm and 6cm
• BA square with all sides 5cm✓
• CA rectangle with sides 3cm and 3cm
• DA triangle with sides 3cm, 4cm, and 5cm

Answer: A regular polygon has all sides and all angles equal. A square with all sides 5cm is regular.

How many lines of symmetry does a rectangle have?

• A1
• B2✓
• C3
• D4

Answer: A rectangle has 2 lines of symmetry: one horizontal and one vertical.

How many lines of symmetry does a square have?

• A2
• B3
• C4✓
• D5

Answer: A square has 4 lines of symmetry: 2 diagonal, 1 horizontal, and 1 vertical.

What is the name of a 3D shape with 6 square faces?

• ASphere
• BPyramid
• CCube✓
• DCylinder

Answer: A cube has 6 square faces, 12 edges, and 8 vertices.

How many vertices does a triangular pyramid have?

• A3
• B4✓
• C5
• D6

Answer: A triangular pyramid (tetrahedron) has 4 vertices.

What angle is in the corner of a square?

• A45°
• B60°
• C90°✓
• D120°

Answer: Each angle in a square is 90° (a right angle).

How many lines of symmetry does an equilateral triangle have?

• A1
• B2
• C3✓
• D4

Answer: An equilateral triangle has 3 lines of symmetry.

What is the name of a quadrilateral with exactly one pair of parallel sides?

• ARectangle
• BTrapezium✓
• CParallelogram
• DRhombus

Answer: A trapezium has exactly one pair of parallel sides.