Tuesday, March 5, 2013

Geometry Shapes Definitions

Introduction to Definitions of Geometry Shapes :

A branch of mathematics concerned with the properties of lines, curves and surfaces usually divided into pure algebraic and differential geometry in accordance with the mathematical techniques utilized. Here we have to learn about different geometry shapes definition. Please express your views of this topic Types of Quadrilaterals by commenting on blog.

List of Different geometry shapes whose definition follows:

Triangle

Quadrilateral

Pentagon

hexagon

Heptagon

Octagon

Square

Circle


Definitions of Geometry shapes - Triangle, Quadrilateral, Pentagon ,Heptagon, Octagon:


Triangle:A triangle is defined as a polygon with three vertices and three sides which are line segments. A triangle with vertices X, Y, and Z is denoted triangle XYZ.It is generally classified as there types they are isosceles, equilateral, and scalene triangle.

Quadrilateral:It is a plane figure having four straight sides. The word quadrilateral is made of the words quad represents the four similarly laterals represents the sides. The sum of interior angles equal to 360 degree. There are many types of quadrilateral are there like trapezoid, parallelogram, rectangle, kite.

Pentagon:A 5-sided polygon (a flat shape with straight sides)

Heptagon:A plane figure having seven sides. If all the interior angles of a heptagon are equal then it is known as regular heptagon .It is also called as septagon.

Octagon:An 8-sided polygon (a flat shape with straight sides).

I have recently faced lot of problem while learning Obtuse Angle Examples, But thank to online resources of math which helped me to learn myself easily on net.

Definitions of Geometry shapes - Square, Circle, Hexagon:


Square:A 4-sided polygon (a flat shape with straight sides) where all sides have equal length and every angle is a right angle (90°)

Circle:It is a plane curve formed by the set of all points of a given fixed distance from a fixed point .The fixed point is called the centre and the fixed distance the radius of the circle.

Hexagon:A polygon with six sides. A regular hexagon has all its side of equal length and hence all vertical angles are equal and each being 120 degree. A vertex contains 3 diagonals and hence it has fully 9 diagonals.

Monday, March 4, 2013

Geometry Exam Questions

Introduction to Geometry exam questions:

Geometry is a part of mathematics which is related with the questions of size, relative position of figures and with properties of space. Geometry is one of the branches of sciences. A physical arrangement will  show geometric forms or lines.

Geometry analyzes the relations, properties, and the measurement of solids, planes, lines, and angles the science which covers of the properties and relations of magnitude the geometry of the relations of space.

Preparation for the geometry exam questions are essential. Some of the geometry exam questions are given below: Having problem with Exterior Angles Definition keep reading my upcoming posts, i will try to help you.


Geometry Exam Questions:


Find the correct answer to the following geometry exam questions

Q 1: If the circle has diameter of 8, what is the circumference?

A. 6.28

B. 12.56

C. 25.13

D. 50.24

E. 100.48

Answer: A

Q 2: Identify the form of the statement All City College students love math.

a)If a person loves math, then the person is a City College student.

b)If a person is a City College student, then the person loves math.

c)If the person is not a City College student, then the person does not love math.

d)None of the above

Answer: B

Q 3: Name the property of equality that can justifies the statement, If m1+25=180 , then m1=155 .

a) Symmetric

b) Transitive

c) Substitution

d) Subtraction

Answer: D

Q 4: Find the measures of the sides of the equilateral delta PQR if PQ=5x-7 and PR=2x+5.

a)39

b)4

c)12

d)13

Answer: D

Q 5:  All the parallelogram have

a) opposite angles that are supplementary.

b) diagonals that are congruent.

c) four congruent opposite sides that are congruent.

Answer: D


Additional geometry exam questions:


Q 1:  Name the property of the equality that justifies the statement, If m1+25=180 , then m1=155..

a) Symmetric

b) Transitive

c) Substitution

d) Subtraction

Answer:D

Q 2:  What symbol is used to indicate in writing the two line segments are identical?

a)  //       b)=   c) ?       d)?

Answer: D

Q 3: What is the principle basis of the inductive reasoning?

a) Postulate   b) Past Observation     c) Definitions      d) Theorems

Answer: B

Q 4:

Two circles both of radii 6 have exactly one point in common. If A is a point on one circle and B is a point on the other circle, what  is the maximum possible length for the line segment AB?

a) 12   b) 15     c)24    d)20

Answer: C

Sunday, March 3, 2013

Geometry Congruence

Definition for geometry congruence:

In Geometry, we study different figure, their properties the relations between them. Every figure has its shape, size and Position. Given two figures you can easily decide whether they are of the same shape.

Figures having same shape and size  and angles are called congruent. Congruent means equal in all respects of the given figure. If two figures are congruent then it means that the size, shape and measurement of the first figure correspond to the size, shape and measurements of the second figure. I like to share this Symbol for Congruence with you all through my article.


Congruence for geometry:


If two persons compare the size shape of their fore-hands, they will do so by comparing thumb with thumb, fore-finger with fore-finger etc. Thus thumb corresponds to thumb. Similarly the two fore-fingers correspond to each other.

When we put a figure on another figure in such a way that the first figure covers the other figure completely i.e. all parts of the first figure completely cover the corresponding parts of the other. Then these figures will be said to be congruent to each other.

The relation property of two figures being congruent is called congruence. When two figures are congruent we denote them symbolically as. One figure ≅ second figure. The property of congruence, as you know is symbolically represented as ≅.


Important points in congruence of geometry:


Congruency in geometry means to be equal in all respect.
Two figures can be said to be congruent only when all parts of one are equal to the corresponding parts of the other.
The property of congruence of figures is called congruency.
If two line segments are congruent then they must have the same length.
If two angles are congruent then their measures must be equal.
Two triangles are congruent only
Two squares are congruent if they have the same side length.
Two rectangles are congruent if they have the same length and breadth.
Two circles are congruent if they have the same radius.
Sum of the three angles of a triangle is equal to 1800 therefore. if the measures of any two of them are given the third can be ascertained.