For information on specific branches of geometry, see **Euclidean geometry, analytic geometry, projective geometry, differential geometry, non-Euclidean geometries, and topology**.

Using the co-ordinate axes, we can describe **any point in the plane using an ordered pair of numbers**. A point A is represented by an ordered pair (x, y) where x is the abscissa and y is the ordinate of the point.

Basic geometry is **the study of points, lines, angles, surfaces, and solids**. The study of this topic starts with an understanding of these.

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A protractor is a geometric tool in the shape of a semicircular disk, as shown above on the right. It is used **to measure the size of an angle in degrees**—usually from 0 to 180 degrees. To use a protractor, lay the protractor on the angle to be measured.

**Different Kinds of Geometry**

- Euclidean Geometry. Euclidean, or classical, geometry is the most commonly known geometry, and is the geometry taught most often in schools, especially at the lower levels.
- Non-Euclidean Geometry.
- Analytic Geometry.
- Differential Geometry.

The two triangles are congruent by side-angle-side, since the two blue sides (one hash mark) are given to be equal, then there is a 20 degree angle in both, and the adjacent green sides (two hash marks) are also equal. Thus the obtuse angles are equal, and the obtuse angle equals 80 + 70 = 150 degrees.

It is **one of the easiest and most scoring topic of JEE mathematics**. The applications of coordinate geometry are spread through various fields of mathematics like trigonometry, calculus, dimensional geometry etc. and also have application in statistics and physics.

**a surface that makes an oblique angle with another**, as where the opening through a wall for a window or door widens from the window or door proper toward the face of the wall.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as **a closed, two-dimensional curved shape**.

What Is the Difference Between Direction Ratio And Direction Cosines? The direction ratio represented the components of a vector or a line with respect to the three-axis, and the direction cosines represent the angle subtended by the line with respect to the three-axis.

The number line which is also known as a Cartesian plane is divided into four quadrants by two axes perpendicular to each other, labelled as the x-axis (horizontal line) and the y-axis(vertical line). The point at which the axes intersect is known as the origin.

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These four sections are called quadrants. Quadrants are named **using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise**.

Answer: the answer is option (d)- **protractor**.

For information on specific branches of geometry, see **Euclidean geometry, analytic geometry, projective geometry, differential geometry, non-Euclidean geometries, and topology**.

The sum of all three angles in a triangle is 180∘ . Therefore, the sum of complement angles is 180−90=90∘ 180 − 90 = 90 ∘ . Now, 90∘−45∘=45∘ 90 ∘ − 45 ∘ = **45 ∘** . That means that the complement of a 45∘ angle is another 45∘ angle.

It is also used **to locate the position of aircraft in space**. Coordinate geometry is also used in developing various games which specify the location of the object. Coordinate geometry is also used in describing maps that we see in our mobile phones and computers to locate the position.

**Six Types of Angles**

- Acute Angles.
- Obtuse Angles.
- Right Angles.
- Straight Angles.
- Reflex Angles.
- Full Rotation.

Geometry **helps us in deciding what materials to use, what design to make and also plays a vital role in the construction process itself**. Different houses and buildings are built in different geometric shapes to give a new look as well as to provide proper ventilation inside the house.

**The perimeter is the distance around the outside of a shape**. Perimeter is measured in units (e.g., cm). The area is the amount of space the inside of the shape takes up. Area is measured in square units (e.g., cm2).

Dated : 16-Jun-2022

Category : Education