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Constructions,Heron's Formula

Class test

Jan 25, 12:00 PM

60 minutes

Jan 27, 12:00 PM

50.0 marks

MCQ

28 questions

Rajesh Pal

I am a mathematics teacher to CBSE board for classes 4th to 10th. I have more than 5 years experience in teaching.

Class Details

Mathematics

Class IX Batch I

Mathematics

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Question Text

Question 1 :
The lenghts of the sides of a triangle are 9 cm 12 cm and 15 cm then the length of the median to the longest side is

Question 2 :
If the altitude of an equilateral triangle is$\displaystyle \sqrt{6}$ cm its area is

Question 3 :
The difference between the area of a square and that of an equilateral triangle of the same base is $\displaystyle\frac{1}{4}\:cm^2$.The side of the triangle is (in cm)

Question 4 :
What is the area of a triangle whose sides are $3\ cm$ , $5\  cm$ and $4\  cm$?

Question 5 :
The sides of a triangle are $3$ cm, $5$ cm and $4$ cm: Its area is

Question 6 :
In a quadrilateral ABCD if $AB=CD,\quad AB\parallel CD\quad and\quad AB=BC$, then ABCD is a

Question 7 :
If PQRS is a parallelogram with PR $=$ QS, and PR is perpendicular to QS,then PQRS is a

Question 8 :
If PQRS is a parallelogram with PR $=$ QS, then PQRS is a

Question 9 :
A kite with $x$ cm, $x$ cm, $y$ cm and $y$ cm is inscribed in a circle. The area of the kite is

Question 10 :
ABCD is a parallelogram with AB $=$ 8.3 cm and its perimeter is 25 cm. Then BC equals

Question 11 :
In parallelogram ABCD, AB $=$ (x+8) cm and CD $=$ (3x-2) Then AB equals

Question 12 :
The vertices of a triangle are the intersections of the lines whose equations are y = 0, x = 3y, and 3x + y = 7. This triangle is

Question 13 :
For constructing a triangle when the base, one base angle and the difference between lengths of other two sides are given, the base length is equals to:

Question 14 :
For constructing a triangle whose perimeter and both base anglesare given, the base length is equal to:

Question 15 :
Construct a triangle $PQR$, whose perimeter is $22 cm$ and whose sides are in the ratio $2 : 4 : 5$. Measure the sides of the triangle.

Question 16 :
The angles is to be bisected to obtain an angle of $90^0$ is _____ .

Question 17 :
The bisectors of which of the following angle pairs can include an angle of $30^\circ$(assuming the angle pair shares a common arm)?

Question 18 :
For constructing a triangle whose perimeter and both base anglesare given, the first step is to:

Question 19 :
Which of the following could be the value of $AC-BC$ in the construction of a triangle $ABC$ in which base $AB = 5 cm, \angle A = 30^{\circ}$?

Question 20 :
State whether the following statement true (T) or false (F);<br>It is possible to draw two bisectors of a given angle.

Question 21 :
The construction of a $\Delta ABC$ in which $BC=6$ $cm$ and $\angle B=50^\circ$, is not possible when $(AB-AC)$ is equal to:

Question 23 :
The construction of $\Delta EFG$ when $FG=3$ $cm$ and m$\angle G=60^\circ$ is possible when difference of $EF$ and $EG$ is equal to:

Question 24 :
Given an angle $\theta$, which of the following angles cannot be obtained by using the method of construction of angle bisectors?

Question 26 :
In an equilateral triangle $\Delta ABC$ with sides $5$cm. Angle bisectors of $\angle A,\angle B,\angle C$ meet at point O. Measures of OA approximately is

Question 27 :
The construction of $\triangle ABC$ in which $AB = 6\ cm, \angle A = 30^\circ$, is not possible when $AC+BC = $

Question 28 :
The construction of $\Delta LMN$ when $MN=6$ $cm$ and $m\angle M=45^\circ$ is not possible when difference between $LM$ and $LN$ is equal to:

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