What geometric tool is used to draw circles and arcs?

A compass is used to draw circles and arcs.

Fill in the blank: To recreate figures accurately, one must first learn how to draw freehand figures and then use ___ tools.

Geometric

True or False: A straight line is an example of a curve in geometry.

False. A straight line is not considered a curve; it is a straight path.

Riddle: I can be drawn in any shape, but when formed perfectly, I have no corners. What am I?

A circle.

What is the process of marking points that are a certain distance from a fixed point to form a circle?

This process involves using a compass to mark points that are at a specific radius distance from the center point.

Multiple Choice: Which of the following can be considered a curve? A) Straight line B) Circle C) Triangle D) Square

B) Circle

Fill in the blank: In geometric constructions, the distance from the center to any point on the circle is called the ___.

Radius

A rectangle has corners labeled A, B, C, and D. What is the relationship between the lengths of the opposite sides?

In a rectangle, opposite sides are equal in length.

Fill in the blank: All angles in a rectangle measure ___ degrees.

90

True or False: A rectangle can be named in any order without restrictions.

False. A rectangle must be named by listing the corners in the order you travel around it.

What are the distinguishing properties of a square compared to a rectangle?

A square has all sides equal in length, whereas a rectangle has opposite sides equal in length but adjacent sides can be of different lengths.

Riddle: I am a shape with four equal sides and four right angles. What am I?

A square.

When a square is rotated, do the properties of equal sides and right angles change?

No, rotating a square does not change the lengths of its sides or the measures of its angles.

Fill in the blanks: The corners of rectangle ABCD are labeled as A, B, C, and D. The sides opposite to AB are ___ and the sides opposite to AD are ___.

CD; BC

What defines a valid naming convention for a rectangle?

A valid name for a rectangle must list the corners in the order you travel around the rectangle, starting from any corner.

What are the steps to construct a square with a side length of 6 cm?

1. Create a square PQRS with a side length of 6 cm. 2. Draw a perpendicular line at point P to line PQ. 3. Mark point S on the perpendicular line such that PS = 6 cm. 4. Draw a perpendicular line at point Q to line PQ. 5. Use a compass to mark the next point at an equal distance. 6. Complete the square ensuring all sides are equal.

Fill in the blank: To construct a square, all sides must be ___ and all angles must be ___ degrees.

Equal; 90

True or False: A rectangle remains a rectangle when rotated.

True

Riddle: I have four equal sides and four right angles. What am I?

A square

What are the longer and shorter sides of a rectangle commonly called?

The longer sides are called the length, and the shorter sides are called the width.

True or False: The shortest distance between two points on a rectangle is always along a diagonal.

False. The shortest distance is always along the line parallel to one of the sides.