ED Geometry chat GPT

What is the method to bisect a given straight line using a compass?

• Draw a perpendicular from the midpoint
• Draw arcs from each end with equal radius
• Join both ends and divide using scale
• Draw an angle bisector

Answer explanation

By drawing arcs of equal radius from each end that intersect above and below the line, then joining intersection points, the line gets bisected at 90°.

Which tool is commonly used to measure and construct angles in geometrical construction?

• Set-square
• Compass
• Divider
• Protractor

Answer explanation

Protractors are semi-circular or circular tools used for measuring angles in degrees.

Which geometric shape has all four sides equal and angles not right angles?

• Square
• Rectangle
• Rhombus
• Trapezium

Answer explanation

A rhombus has all sides equal but opposite angles are equal, not necessarily 90°.

The sum of the interior angles of a polygon with 'n' sides is given by:

• (n - 2) × 180°
• (2n - 4) × 90°
• (n + 2) × 180°
• n × 180°

Answer explanation

The sum of interior angles = (n - 2) × 180°, where n is the number of sides in the polygon.

Which method is used to construct an equilateral triangle using only a compass?

• Draw three lines each of 60° using a protractor
• Draw a base and two arcs from endpoints intersecting
• Use set-squares to form 30° and 60°
• Divide a circle into 3 parts

Answer explanation

Drawing arcs from both ends of the base with radius equal to side length gives intersection at the third point forming an equilateral triangle.

What is the primary property of a scalene triangle?

• All sides are equal
• Two sides are equal
• All sides are unequal
• All angles are right angles

Answer explanation

A scalene triangle has all three sides and all three angles unequal.

Which of the following figures has opposite sides equal and angles not 90°?

• Rhombus
• Rectangle
• Parallelogram
• Trapezium

Answer explanation

A parallelogram has opposite sides equal and parallel, and opposite angles equal, but not necessarily 90°.

What is the shape of a figure with only two sides parallel?

• Trapezium
• Trapezoid
• Rectangle
• Kite

Answer explanation

A trapezoid (US English) has exactly one pair of opposite sides parallel.

Which polygon has 8 sides?

• Heptagon
• Octagon
• Nonagon
• Decagon

Answer explanation

An octagon is a polygon with 8 sides.

Which instrument is best suited to draw arcs in geometrical construction?

• Protractor
• Divider
• Compass
• Set-square

Answer explanation

A compass is used to draw circles or arcs based on a fixed radius.