What are the angles of a set square?

Rectangles also have right angles. Again, let’s look at the rectangle on our screen. Like a square, a rectangle has lines that are perpendicular to two other lines. This means it also has four right angles.

A ruler, sometimes called a rule or line gauge, is a device with equally spaced markings along its length, used in geometry, technical drawing, engineering and building to measure distances or to rule straight lines.

We learn early in childhood that there are 360 degrees in a circle, that there are 90 degrees in a right angle, and that the angle of an equilateral triangle contains 60 degrees. On the other hand, to scientists, engineers, and mathematicians it is usual to measure angles in radians.

Construct: a line through P perpendicular to given line.

STEPS:

Place your compass point on P and swing an arc of any size that crosses the line twice.

Place the compass point on one of the two locations where the arc crossed the line and make a small arc below the line (on the side where P is not located).

Method 2 Constructing a Parallelogram with a Compass

Start with an L shape. Draw two straight lines that share a corner.

Get a compass.

Understand the equal sides method.

Set your compass to the length of the bottom side.

Copy this length.

Copy the length of the left side.

Find the top right corner.

Draw the top side.

A T-square is a technical drawing instrument used by draftsmen primarily as a guide for drawing horizontal lines on a drafting table. It may also guide a set square to draw vertical or diagonal lines.

Staedtler® Excellence geometry set includes short needle safety point compass and dividers, 45 deg and 60 deg set squares, 180 deg protractor, 15 cm ruler, sharpener, eraser, pencil, lettering guide and self centering mechanism.

A protractor is a handy tool used to measure and draw angles. Generally, semi-circular in shape, protractors are also available in full-circle, 360-degree versions.

A set square or triangle (American English) is an object used in engineering and technical drawing, with the aim of providing a straightedge at a right angle or other particular planar angle to a baseline.

Inside the tin there are two set squares, a 180° protractor, a 15 cm ruler, a metal compass, a 9 cm pencil, a pencil sharpener, an eraser and a 10mm stencil.

Most instruments are used within the field of geometry, including the ruler, dividers, protractor, set square, compass, ellipsograph, T-square and opisometer.

Dividers are one of the earliest and most basic types of mathematical instrument. In their simplest form, dividers consist of a jointed pair of legs, each with a sharp point. They can be used for geometrical operations such as scribing circles but also for taking off and transferring dimensions.

Basic Tools

Straightedge. A straightedge is a geometric tool used to construct straight lines.

Ruler. A ruler is a geometric tool used to measure the length of a line segment.

Compass. A compass is a V-shaped tool used to construct circles or arcs of circles.

Protractor.

Dividers are one of the earliest and most basic types of mathematical instrument. In their simplest form, dividers consist of a jointed pair of legs, each with a sharp point. They can be used for geometrical operations such as scribing circles but also for taking off and transferring dimensions.

How to measure an angle with a protractor:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Geometry (from the Ancient Greek: γεωμετρία; geo- “earth”, -metron “measurement”) is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

The most basic form of geometry is so the so called Euclidean geometry. Also, the volume of 3 dimensional objects such as cubes, cylinders, pyramids, and spheres can be computed using geometry. It used to be all about shapes and measurements, but numbers will soon make its way to geometry.

The History of Geometry. Ancient Egyptians used an early stage of geometry in several ways, including the surveying of land, construction of pyramids, and astronomy. Around 2,900 BC, ancient Egyptians began using their knowledge to construct pyramids with four triangular faces and a square base.

Euclid. Alongside Pythagoras, Euclid is a very famous name in the history of Greek geometry. He gathered the work of all of the earlier mathematicians and created his landmark work, ‘The Elements,’ surely one of the most published books of all time.