Question 1 :
<span>If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar by which similarity</span>
Question 2 :
The base of a right angled triangle is 8 m and its hypotenuse is 10 m. Then its area is
Question 4 :
The areas of two similar triangles are $16\ \text{cm}^2$ and $36\ \text{cm}^2$ respectively. If the altitude of the first triangle is $3\ \text{cm}$, then the corresponding altitude of the other triangle is:
Question 5 :
Select the correct alternative and write the alphabet of that following :<br>Out of the following which is the Pythagorean triplet ?
Question 6 :
The perimeters of two similar triangles are $25\;cm$ and $15\;cm$ respectively. If one side of first triangle is $9\;cm$, then the corresponding side of the other triangle is
Question 7 :
SAS criterion is true when <span> In two triangles, a pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar.</span>
Question 9 :
If one shape becomes another using a resize, then the shapes are __________.
Question 10 :
In $\triangle ABC$ and $\triangle DEF$, $\angle A={50}^{o}, \angle B={70}^{o}, \angle C={60}^{o}, \angle D={60}^{o}, \angle E={70}^{o}, \angle F={50}^{o}$, then $\triangle ABC$ is similar to:
Question 11 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $b$ when $c=13 \ cm$ and $a=5 \ cm$.
Question 12 :
The ratio of the areas of two similar triangles is equal to the <br>
Question 13 :
There were three circular tracks made in a park having the same middle <span>point but their radii was different. These tracks will be called</span>
Question 14 :
If all three angles in one triangle are the same as the corresponding angles in another triangle, then the triangles are similar by which test ?
Question 15 :
If area $(\Delta ABC)=36 cm^2, area (\Delta DEF)=64 cm^2$ and $DE=6.4 cm$. Find AB if $\Delta ABC\sim \Delta DEF$
Question 16 :
If in the triangles $ABC$ and $DEF$, angle $A$ is equal to angle $E$, both are equal to ${40}^{o}$, $AB:ED=AC:EF$ and angle $F$ is ${65}^{o}$, then angle $B$ is:
Question 17 :
If ratio of heights of two similar triangles is $4:9$, then ratio between their areas is?
Question 18 :
Sides of two similar triangles are in the ratio of $4 : 9$ then area of these triangles are in the ratio
Question 19 :
The areas of two similar triangles are $12$ ${cm}^{2}$ and $48$ ${cm}^{2}$. If the height of the smaller one is $2.1$ $cm$, then the corresponding height of the bigger one is:
Question 20 :
Do the sides, $12, 37$ and $35$ form a right triangle? If so, which side is the hypotenuse?<br/>
Question 21 :
In $ \displaystyle \bigtriangleup $ ABC , angle C is a right angle, then the value of $ \displaystyle \tan A+ \tan B is $
Question 22 :
If $\triangle ABC\sim \triangle DEF$ and $AB:DE=3:4$, then the ratio of area of triangles taken in order is
Question 23 :
In $\triangle PQR,$ $PQ=4$ cm, $QR=3$ cm, and $RP=3.5$ cm. $\triangle DEF$ is similar to $\triangle PQR.$ If $EF=9$ cm, then what is the perimeter of $\triangle DEF\: ?$<br>
Question 24 :
Let $\triangle$ABC ~ $\triangle$PQR. If area(ABC) = 2.25 $m^{2}$, area(PQR) = 6.25 $m^{2}$, PQ = 0.5 $m$, then length of AB is:<br/>
Question 25 :
The area of two similar triangles ABC and PQR are 25 $\displaystyle cm^{2}$ and $\displaystyle 49cm^{2}$ If QR=9.8 cm then BC is
Question 26 :
STATEMENT - 1 : If in two triangles, two angles of one triangle are respectively equal to the two angles of the other triangle, then the two triangles are similar.<br>STATEMENT - 2 : If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.<br>
