Construction - class-VIII
Description: construction | |
Number of Questions: 30 | |
Created by: Shiva Nambiar | |
Tags: tangents and secants to a circle geometrical constructions construction of polygons constructions maths geometry construction shapes and geometric reasoning geometric constructions |
The number of independent measurement required to construct a triangle is -
The triangle formed by AB = 3 cm BC = 5 cm AC = 9 cm is__
When constructing an inscribed regular hexagon, how will you choose the arc measurement?
The measure of maximum possible exterior angle in a regular polygon is
To construct a quadrilateral minimum of its _________ elements are required.
How many equal parts you will cut the circle to draw inscribing hexagon?
Which tool will you use for cutting a circle into 6 equal parts?
While constructing a circle circumscribing and inscribing a regular hexagon, identify the statement true for the construction?
State true or false:
A quadrilateral is uniquely determined if any four of its elements are known.
If the side of a regular hexagon is $6$ cm, then its area will be
The centre of the circle circumscribing the square whose three sides are $3x+y=22,x-3y=14$ and $3x=y=62$ is:
A square is inscribed in the circle $x^2 + y^2 -2x +4y - 93 = 0$ with its sides parallel to the coordinates axes. The coordinates of its vertices are
For each of the following, drawn a circle and inscribe the figure given.If a polygon of the given type can't be inscribed,write not possible.
In regular hexagon, if the radius of circle through vertices is r, then length of the side will be
When constructing the circles circumscribing and inscribing a regular hexagon with radius $3$ m, then inscribing hexagon length of each side is
The area of a circle inscribed in a regular hexagon is $100\pi$. The area of the hexagon is:
A circle is inscribed in a quadrilateral ABCD in which $\angle B = 90^o$. If $AD = 23 cm$, $AB = 29 cm$ and $DS = 5 cm$. Find the radius of the circle.
Given are the steps are construction of a pair of tangents to a circle of radius $4$cm from a point on the concentric circle of radius $6$cm. Find which of the following step is wrong?
(P) Take a point O on the plane paper and draw a circle of radius OA$=4$cm. Also, draw a concentric circle of radius OB$=6$cm.
(Q) Find the mid-point A of OB and draw a circle of radius BA$=$AO. Suppose this circle intersects the circle of radius $4$cm at P and Q.
(R) Join BP and BQ to get the desired tangents from a point B on the circle of radius $6$ cm.
What are the tools required for constructing a tangent to a circle?
Let C be the circle with centre at $(1, 1)$ and radius $=1$. If T is the circle centred at $(0, y)$, passing through origin and touching the circle C externally, then the radius of T is equal to?
The sides of a triangle are $25,39$ and $40$. The diameter of the circumscribed circle is:
The angles of a pentagon in degrees are $y^\circ$, $(y+20^\circ)$, $(y+40^\circ)-(y+60^\circ)$ and $(y+80^\circ)$. The smallest angle of the pentagon is
Construct a regular pentagon inside a circle of radius $6\ cm$. The length of each side of the pentagon is: (approx.)
The minimum number of dimensions needed to construct an equilateral triangle is:
The number of independent measurement required to construct a $\Delta$ le is
The minimum number of dimensions needed to construct a rectangle is:
The number of independent measurements required to construct a $\Delta$ is
The sum of all the angles of a pentagon are
Inscribe a regular pentagon in a circle of radius $3\ cm$. The interior angles of the pentagon are: