What is the tool used for constructing geometric figures without measuring angles or lengths directly?

Ruler and compasses

Which angle can be constructed by bisecting a 60° angle?

30°

True or False: The bisector of an angle divides it into two unequal parts.

False. The bisector of an angle divides it into two equal parts.

Riddle: I am formed when two sides meet at a point, and my measurement can be exactly divided into two equal parts. What am I?

An angle

To construct a 90° angle, you need to draw arcs from how many intersection points?

Three intersection points

Which method involves using equal lengths from both angles to bisect a given angle?

Drawing arcs of equal radius from the intersection points

Fill in the blank: The construction of a ______ requires two equal lengths drawn from the endpoints of a line segment.

Perpendicular bisector

What is the relationship between the sides of a rectangle?

Opposite sides are equal.

Which geometric figure can be constructed using the lengths of both diagonals and the angle between them?

Parallelogram

True or False: A rhombus has all sides equal and opposite angles equal.

True

What is the first step in constructing a square if one side is given?

Draw one side of the square.

MCQ: To construct a line parallel to a given line through a point, which angle should be constructed? A) Equal to the angle at the line's point B) 90° C) 45° D) 60°

A) Equal to the angle at the line's point

In constructing a parallelogram, what do you draw from one endpoint to find the other endpoint?

An arc with the length of the opposite side.

Fill in the blank: To construct a rectangle when one side and one diagonal are given, you need to draw a 90° angle at one endpoint and then draw an arc with the length of the ______.

Diagonal

MCQ: What is the process of dividing an angle into two equal parts called? A) Perpendicular B) Bisector C) Angle construction D) Angle measurement

B) Bisector

Riddle: I am a shape with four equal sides and right angles; every corner is a right angle. What am I?

Square

To construct a line segment bisector, what method can be used involving arcs drawn from both endpoints?

Draw arcs from each endpoint that intersect above and below the segment.

True or False: The construction of a rhombus requires knowing the lengths of its diagonals only.

False. It can be constructed using one side and one angle or both diagonals.

What is the final step in constructing quadrilateral ABCD when all sides and one angle are given?

Join the points to form the quadrilateral.

Which method is used to construct an angle equal to a given angle using a compass and ruler? A) Angle bisector B) Arc intersection C) Triangle congruence D) Parallel lines

B) Arc intersection