What is the characteristic of the diagonals in a parallelogram?

Diagonals of a parallelogram bisect each other.

Fill in the blank: A quadrilateral is constructed by locating its four ______.

Vertices

True or False: A square has unequal sides.

False. A square has all sides equal.

Riddle: I have four sides, but I can be a rectangle, a rhombus, or a square. What am I?

Quadrilateral

Which method involves constructing a triangle using two sides and one diagonal to form a parallelogram?

Two Consecutive Sides and One Diagonal

Fill in the blank: A regular hexagon has ______ equal sides and each interior angle is 120°.

Six

True or False: The angles in a trapezium are all equal.

False. A trapezium has one pair of parallel sides, but not all angles are equal.

What geometric shape is defined as having opposite sides equal and all angles equal to 90°?

Rectangle

Riddle: I am a shape with all sides equal, and my diagonals bisect at right angles. What am I?

Rhombus

Which construction case requires three sides and two consecutive angles?

Case 2: Three Sides and Two Consecutive Angles

Fill in the blank: A trapezium has ______ pair of parallel sides.

One

What is the formula for identifying the method to construct a regular hexagon using the circumcircle?

The side of a regular hexagon equals the radius of its circumcircle.

Riddle: I can be drawn by connecting six points on a circle, each separated by an angle of 60°. What am I?

Regular hexagon

Which case involves constructing a triangle with one side and both diagonals to form a parallelogram?

Case 2: One Side and Both Diagonals

Fill in the blank: A rectangle can be constructed by forming two right-angled ______ sharing a common side.

Triangles

True or False: A rhombus has unequal sides.

False. A rhombus has all sides equal.

What is the first step in the construction of quadrilaterals?

Always start with a rough free-hand sketch to plan the construction.