Constructions and Tilling

What is the main objective of studying "Constructions and Tilings"?

1. To develop skills in accurate geometric drawing, logical reasoning, spatial understanding, and recognising tessellations in mathematics and real life.
2. To memorise definitions only.
3. To avoid using mathematical instruments.
4. To study arithmetic only.

Which regular polygon has an interior angle of 120 degrees?

1. Square
2. Equilateral triangle
3. Regular hexagon
4. Regular pentagon

Why are tessellations important in everyday life?

1. They are used in flooring, art, architecture, and design.
2. They are useful only in textbooks.
3. They are used only in sports.
4. They have no practical applications.

Which geometric construction helps locate the midpoint of a line segment?

1. Angle bisector
2. Perpendicular bisector
3. Parallel line
4. Tangent

What is the sum of the angles around a point?

1. 90 degrees
2. 180 degrees
3. 270 degrees
4. 360 degrees

Which construction divides an angle into two equal parts?

1. Perpendicular bisector
2. Angle bisector
3. Parallel line
4. Diameter

Which shape cannot tessellate the plane by itself?

1. Square
2. Equilateral triangle
3. Regular pentagon
4. Regular hexagon

What is the main purpose of geometric constructions?

1. To draw accurate figures using geometric tools
2. To decorate notebooks only
3. To estimate measurements randomly
4. To replace calculations

Which tool is mainly used to draw straight lines in constructions?

1. Compass
2. Protractor
3. Scale (Ruler)
4. Divider

Which regular polygon also forms a perfect tessellation?

1. Regular pentagon
2. Regular hexagon
3. Regular heptagon
4. Regular nonagon

Which pair of shapes can tile a plane without leaving gaps?

1. Circles only
2. Regular pentagons only
3. Squares
4. Ovals

Which angle measures exactly 90 degrees?

1. Acute angle
2. Right angle
3. Obtuse angle
4. Reflex angle

What is the perpendicular bisector of a line segment?

1. A line parallel to the segment
2. A line that cuts the segment into two equal parts at 90 degrees
3. A curved line
4. A diagonal line

Which mathematical instrument is mainly used to draw a circle?

1. Protractor
2. Compass
3. Divider
4. Set square