Geometry Questions

Introduction :

Geometry is a section in math, which deals with many aspects regarding shapes, figures. they involve with construction, study of their properties, area , volume, etc. They include study of solids too. Geometry deals with the entire concepts related to the shapes, solids, etc. Sample questions about the intersecting lines, area are in the following section.


Example geometry questions:


Here are few example geometry questions:

Geometry question 1:

Find the area of the triangle formed by (5,2), (-9,-3), (-3,-5)

Solution:

The formula for finding the area of the triangle formed by  (x1,y1), (x2,y2), (x3,y3)  is 1/2 | [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)] |

Applying the formula,we get

1/2 | [5(-3 + 5) -9(-5 -2) -3(2 + 3)]|

1/2 |10 + 63 – 15|

1/2 |58|

Hence the area of the triangle is 29.


Geometry question 2:

Find the point which divides the line segment joining (-1,2) and (4,-5) in the ratio 3:2

The formula for a point which divides the line joining A(x1,y1) and (x2,y2) in the ratio l:m is

`((lx2 + my1)/( l + m) ,(lx2 + my1)/( l + m)) `

Applying the formula,

The point is

`((3 * 4 + 2 * (-1)) /( 3 + 2) , (3 * (-5) + 2 * 2)/(3 + 2))`

`((10)/(5),(-11)/(5))`

Hence the point is (2,-11/5)

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