Mapping your way - class-X
Description: mapping your way | |
Number of Questions: 40 | |
Created by: Rani Rajan | |
Tags: enlargement and scale drawing mapping your way ratio maths ratio, rate and proportion similarity recognition of solids visualising solid shapes bearing and drawings exploring geometrical figures |
A rectangle of length $4\ cm$ and breadth $3\ cm$ is scaled up $2$ times. What is the new length of the rectangle?
A circle of radius $7\ cm$ is scaled $3$ times. Then the perimeter of the circle become:
If one shape becomes another using a resize, then the shapes are __________.
If one shape becomes another using rotation / reflection, then the shapes are __________.
If the area of square is $36\pi \ \text{cm}^2$. If its length is scaled three times, what would be its new area?
The measure of $3.4\ cm$ on a $2:1$ scaled model will be:
A $30-60-90$ degree triangle is scaled $1.5$ times. The new angles of the triangle are:
A submarine is scaled down to $\dfrac{1}{100}$ times for making a model. If the length of the submarine in the scaled down model was $100\ cm$, what is the original length of the submarine?
A triangle ABC has been enlarged by scale factor m= 2.5 to the triangle A' B' C'. Calculate the length of C' A' if CA=4 cm.
A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find OA, if OA'= 6 cm.
A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Calculate the length of LM, if L' M'= 5.4 cm.
A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Calculate the length of M' N'. if MN= 8 cm.
A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find BC. if B'C'= 15 cm.
A has a pair of triangles with corresponding sides proportional, and B has a pair of pentagons with corresponding sides proportional.
$S _1 \equiv $ A's triangles must be similar
$S _2 \equiv $ B's pentagons must be similar
Which of the following statement is correct ?
A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find A'B', if AB = 4cm.
A triangle ABC is enlarged, about the point O as centre of enlargement, and the scale factor is 3. Find OC', if OC=21 cm.
A flagstaff $17.5$ m high casts a shaded length of $40.25$ m. The height of the building which costs a shadow of length $28.75$ m under similar conditions will be:
The ratio of the lengths of the corresponding sides of $2$ similar right angled triangles is $2:5$. If the length of the hypotenuse of the smaller triangle is $5$ inches, find the length of the hypotenuse of the larger triangle (in inches):
If the image of an object is enlarged, then what would be the effect on scale factor, $k?$
Maps must have a ......... and a .......... .
Milli starts from A and travels $2$ km and then come back for $280$ m. Then, the distance between point A and Milli is ?
In a ground, the distance between two consecutive trees is $4$ m and distance between next $2$ trees is $5$ m. Then calculate the distance between first and third tree.
Distance between two houses is $40$ m. If a new house with area $4\times 4$ is constructed in the middle of $2$ houses, then find the distance between middle house and one of the corner house.
In an Atlas a map occupies $\displaystyle \frac{2}{5}$th of a page with dimensions 25 cm and 30 cm respectively If the real area of the map is 10800 sq. m the scale to which the map is drawn is
$ \Delta ABC ~ \Delta PQR $ for the correspondence $ABC \leftrightarrow PQR $ . If the perimeter of $ \Delta ABC $ is $12$ and the perimeter of $ \Delta PQR $ is $20 $ , then $AB : PQ = $ ______
Perpendicular AL, BM are drawn from the vertices A,B of a triangle ABC to meet BC, AC at L, M. by proving the triangles ALC, BMC similar, or otherwise, then CM.CA=CL.CB
A model of an aeroplane is made to a scale of $1:400$. Calculate the length, in cm, of the model; if the length of the aeroplane is $40$ m.
The line segments joining the midpoints of the sides of a triangle form four triangles each of which is:
$D, E, F$ are the mid points of the sides $AB, BC,CA$ respectively of $\triangle ABC$. Then $\triangle DEF$ is congruent to
In $\triangle ABC$, $AB=3cm, AC=4cm$ and $AD$ is the bisector of $\angle A$. Then $BD:DC$ is:
A model of an aeroplane is made to a scale of $1:400$. Calculate the length, in m, of the aeroplane, if the length of its model is $16$ cm.
Triangle $ABC$ is such that $AB=3cm, BC=2cm$ and $CA=2.5cm$. Triangle $DEF$ is similar to $\triangle ABC$. If $EF=4cm$, then the perimeter of $\triangle DEF$ is:
$\triangle ABC\sim \triangle DEF$. IF $BC=4cm$, $EF=5cm$ and area $(\triangle ABC)=32{cm}^{2}$, determine the area of $\triangle DEF$.
The areas of two similar triangles are $48{cm}^{2}$ and $75{cm}^{2}$ respectively. If the altitude of the first triangle be $3.6cm$, find the corresponding altitude of the other.
$\triangle ABC$ and $\triangle PQR$ are similar triangle such that area $(\triangle ABC)=49{cm}^{2}$ and Area $(\triangle PQR)=25{cm}^{2}$. If $AB=5.6cm$, find the length of $PQ$.
The dimensions of the model of a multistorey building are 1.2 m$\displaystyle \times 75cm\times 2m.$
If the scale facor is 1 : 30; find the actual dimesions of the building.
On a scale map $0.7\ cm$ represents $8.4\ km$. If the distance between two points on the map is $46.5\ cm$, what is the actual distance between the points?
The perimeter of two similar triangles $ABC$ and $PQR$ are $36\ cm$ and $24\ cm$ respectively. If $PQ = 10\ cm$ then the length of $AB$ is