Define geometry.
The branch of mathematics concerned with the properties and relations of points, lines, surfaces, and solids.
What is a point?
A location in space with no dimensions, represented by a dot.
True or false: A line has length but no width.
TRUE
Fill in the blank: A plane is a flat surface that extends ______ in all directions.
infinitely
What is the sum of angles in a triangle?
180 degrees.
Define parallel lines.
Lines in a plane that never meet and are equidistant apart.
What is a right angle?
An angle that measures exactly 90 degrees.
True or false: A circle is defined by its radius.
TRUE
Fill in the blank: The circumference of a circle is calculated using the formula ______.
C = 2πr
What is the area of a rectangle?
Length multiplied by width.
Define perimeter.
The total distance around a two-dimensional shape.
What is a quadrilateral?
A polygon with four sides.
True or false: A rhombus has all sides equal in length.
TRUE
Fill in the blank: A trapezium has at least one pair of ______ sides parallel.
opposite
What is the formula for the area of a triangle?
Area = 1/2 × base × height.
Define congruent shapes.
Shapes that are identical in shape and size.
What is a transversal?
A line that intersects two or more lines at distinct points.
True or false: Similar shapes have the same shape but different sizes.
TRUE
Fill in the blank: The Pythagorean theorem applies to ______ triangles.
right-angled
What is the volume of a cuboid?
Length × width × height.
Define angle bisector.
A line that divides an angle into two equal parts.
What is a complementary angle?
Two angles that add up to 90 degrees.
True or false: A hexagon has six sides.
TRUE
Fill in the blank: The diagonal of a rectangle connects ______ opposite corners.
two