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The area may be defined as the quantity that is used to expresses the extent of a two-dimensional region, shape, in the plane. In the case of two dimensions and three dimensions, the area is analogous to the surface area.

Angle is formed at a point of intersection of two lines or rays. The angle may be formed by the intersection of two planes too. The angle is the measure of the turn between two lines or two planes.

A point in geometry is a method to show a location. Point is a dimensionless quantity as it has no size, no width, no length, and no depth. A point is represented by a dot. A line is defined as a line of points that extends infinitely in two directions and points that lie on the same line are called collinear points.

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In mathematics, a plane is defined as a flat and two-dimensional surface that extends infinitely. A plane is the two-dimensional analog of a point (0 dimensions), a line (1D), and 3D space.

In mathematics/geometry, a line may be defined as a straight 1D figure that has no thickness and extends endlessly in both directions and is often described as the shortest distance between any two points.

A circle looks like a round-shaped figure that has no corners and has no edges. In mathematics/geometry, a circle may be defined as a closed, two-dimensional curved shape in which all the points on the cure are at a fixed distance from a point. This point is known as the center of a circle. This fixed distance from the center to the point on the curve is known as the radius of the circle.

In mathematics/geometry, a polygon is a plane figure that has a finite number of straight-line segments having a closed shape. The polygons do not have any curved sides i.e. all the lines are straight. Triangle is an example of the three-sided polygon. Similarly, four, five, six-sided polygon are called quadrilateral, pentagon, hexagon respectively.

Triangle may be defined as a three-sided polygon, i.e. It has three sides and three angles are formed at the intersection of three sides.

In mathematics, transformation may be defined as the process of converting a single form from one domain to another. The signal can be transformed from the time domain to the frequency domain or vice versa by using various transformation methods like Laplace Transformation, Fourier Transformation, etc.

Quadrilaterals may be defined as polygons having four sides. It has four angles. Square, rectangle, rhombus are examples of the quadrilateral.

In geometry, the similarity is the property when two figures are identical to each other.

Coordinate geometry is also known as analytic geometry may be defined as the study of geometry by making use of coordinate points. By using the coordinate geometry, we can find the distance between two points, dividing lines in the x:y ratio, finding the mid-point of a line, calculating the area of a triangle in the Cartesian plane, etc.

A triangle may be termed as a right-angled triangle if one angle of the triangle is 90 degrees. The side opposite to the right angle in the right triangle is called hypotenuse and the remaining two sides are known as base and perpendicular.

Trigonometry may be defined as a branch of mathematics that studies relationships between side lengths and angles of triangles by making use different trigonometric relationships on the triangle.

Two lines are said to be perpendicular if the angle between them is 90 degrees at the point of intersection whereas if two lines don't intersect with each other at any point even after infinite expansion at both ends, then the line is said to be a parallel line.

**Q1. What is the exterior angle of the regular octagon?
Sol. **Regular octagon have all angles equals

And by exterior angle sum property of polygons,

We have sum of all the exterior angle equals to 360°

So, 8×exterior angle=360°

exterior angle= 360°8

exterior angle= 45°

**Q2. Find the arc length of a circle with radius 14 cm making an angle of 36° at the centre.**

**Sol.** Radius of the = 14 cm

Angle at the centre = 36°

Arc length = e/360.2πr

= 36/360× 2× 22/7×14

= 8.8 cm

**Q3. Find if the following triangles are congruent or not, If the two sides are equal.**

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Lets imagine one triangle as ABC and other as PQR

**Sol. ****We have **

AB = PQ ( from figure )

BC = QR ( from figure )

∠B = ∠Q ( from figure )

So, by side angle side congruency rule we have

∆ABC≅∆PQR

Geometry is the oldest branch of Mathematics. For high school graduates taking at least three years of math, including algebra and geometry, is a minimum requirement. The typical course order is::

Geometry is usually taken in a student’s 2nd year of high school. The high school geometry curriculum introduces students to the concepts of basic trigonometry, angles of elevation and depression, and methods of proving triangle congruence.

If you are looking to be admitted to a good university or college after high school, then focusing on Geometry is very important. The University of California among other requirements asks students to study two- and three-dimensional geometry in order to get admission at the prestigious university.

Students can find many practical uses of geometry in daily life. Some examples of real-life applications of geometry are:

- Using geometry to determine the quantity of material needed in constructing a building.
- Geometry is also used in the food and restaurant industry to create food designs and shapes.
- One can also see the use of geometry in marking off athletic fields, such as rectangles for football, cricket, and hockey, and more complex diamond shapes for games like baseball.
- Engineers and architects use geometry to make designs and construct houses, buildings, cars, etc.

Students interested in Geometry can build successful careers in architecture, engineering, and contractors. Astronomy is another field that relies on geometry and can become a high-paying and rewarding career option for students.

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Geometry for high school students can be very confusing, and one needs to practice a lot to gain confidence and avoid silly mistakes in geometry tests and homework. This is one subject that requires focused attention from the student and complete guidance in understanding various geometrical constructions, equations, and formulas.

We also understand that it is not easy to make lengthy and detailed notes in class every time and also teachers in the classroom may move faster than you’re understanding. Therefore, don’t hold yourself back, just reach out anytime you had a Geometry test or question, and we will be happy to connect you with an expert who can help you get a detailed solution to your question and boost your overall confidence in the subject.

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To solve a geometry problem, you must connect with our proficient experts. Our professionals can teach you how to get solutions by:

- Draw diagrams for success
- Be well-versed with angles, planes, surfaces and relationships between points and shapes
- Work on the triangles
- Understand the problem or a given figure to identify what is asked
- Revise theorems and know the properties
- Go over the tenets and postulates given by Euclid
- Know the symbols

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The best way to learn any branch of Math is practice. On the other hand getting help in geometry on time to avoid confusion later is also important. Apart from this you must:

- Understand shapes and figures
- Correlate with real life example
- Focus on triangles, circles and shapes
- Know your concepts like Cartesian planes by studying textbooks
- Practice regularly and clear your doubts before you proceed to the next topic

If you diligently study and solve textbook questions daily, you will realize that this is the best way to learn geometry.

Point, line and plane are regarded as the basic concepts of geometry. To learn the fundamentals in the subject, you must also know:

- Angles
- Coordinate planes
- Shapes
- Pythagoras Theorem
- Similarity and Congruence

Along with our certified academicians, you can also get help in understanding the core topics of geometry.

Geometry helps us in everyday life as right from the video games you play to the food design or shape of pizza, is all based on it.

To name a few fields, it is used in :

- Art and Architecture
- Jewellery designing
- Computer graphics
- Engineering
- Construction

Whether it is robotics, fashion designing, geometry is used everywhere and a good knowledge in the subject opens numerous career options for a student.

You can get geometry help right here at TutorEye. We have an excellent pool of geometry homework solvers who have years of experience teaching students and also provide immediate solutions to your urgent queries.

Besides, you must also take the following steps:

- Do not miss classes as this leads to missing out on lessons
- Finish your homework on time
- Form a study group of peers and regularly solve tough questions
- Practice under expert guidance of professionals

This will assist you not only in getting help in the subject but also in clearing your doubts to achieve better grades.