Question 1 :
If the area of two similar triangles are equal, then they are
Question 2 :
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 4 :
What is the length of the hypotenuse formed if the two sides are of 5 cm, 12 cm?
Question 5 :
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 6 :
<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 7 : <div><span>It is given that $\triangle FED\sim \triangle STU$. Is it true to say that </span><span>$\cfrac{DE}{UT}=\cfrac{EF}{TS}$? </span><br/></div>
Question 8 :
Do the sides, $12, 37$ and $35$ form a right triangle? If so, which side is the hypotenuse?<br/>
Question 9 :
When we construct a triangle similar to a given triangle as per given scale factor, we construct on the basis of ...........
Question 10 :
If one shape becomes another using a resize, then the shapes are __________.
Question 11 :
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 12 :
Sides of two similar triangles are in the ratio of $4 : 9$ then area of these triangles are in the ratio
Question 13 :
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 14 :
If sides of a triangle are 9 , 20 , 32. Can we form a right angled triangle?
Question 15 :
If the hypotenuse of a right angled triangle is 15 cm and one side of it 6cm <span>less than the hypotenuse, the other side b is equal to.</span>
Question 16 :
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 17 :
Sides of two similar triangles are in the ratio $4:9$. areas of these triangles are in the ratio
Question 18 : The length of the hypotenuse of a right-angle triangle whose measure of two sides are 12 cm and <div>0.35 m is:</div>
Question 19 :
In Pythagoras theorem the right angled triangle is also called a
Question 20 :
Two polygons of the same number of sides are similar if all the corresponding interior angles are:<br/>
Question 21 :
<span>In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find </span>$a$ when $c=25 \ cm$ and $b=7 \ cm$.
Question 22 :
A tree of height 24m standing in the middle of the road casts a shadow ofheight 16m. If at the same time a nearby pole of 48 m casts a shadow , what would the height of the shadow be?<span><br></span>
Question 23 :
All congruent figures are similar but the similar figures are not congruent. <span>Is this statement true or false?</span>
Question 24 :
In triangles $ABC$ and $DEF$, $\angle B=\angle E, \angle F=\angle C$ and $AB=3DE$. Then, the two triangles are:
Question 25 :
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 26 :
If $\triangle ABC\sim \triangle DEF$ and $AB:DE=3:4$, then the ratio of area of triangles taken in order is
Question 27 :
The hypotenuse 'c' and one arm 'a' of a right triangle are consecutive integers. The square of the second arm is:
Question 28 :
A right-angles triangle has hypotenuse $13$ cm, one side is $12$ cm, then the third side is _________.
Question 29 :
$\triangle ABC$ is similar to $\triangle XYZ$ by $SAS$ similarity. If in $\triangle ABC$ $AB=12,BC=8,\angle B=60^o$<br/>and in $\triangle XYZ$ $XY=3$,$\angle Y=60^o$. Find the value of $YZ$
Question 30 :
Which of the following numbers form pythagorean triplet? <br/>i) $2, 3, 4$<br/>ii) $6, 8, 10$<br/>iii) $9, 10, 11$<br/>iv) $8, 15, 17$
Question 31 :
Triangle is equilateral with side$A$, perimeter $P$, area $K$ and circumradius $R$ (radius of the circumscribed circle). Triangle is equilateral with side $a$, perimeter $p$, area $k$, and circumradius $r$. If $A$ is different from $a$, then
Question 32 :
In a $\triangle ABC$, $BC=AB$ and $\angle B={ 80 }^{ 0 }$. Then $\angle A$ is equal to?
Question 33 :
A right triangle has angles which measure $30, 60$ and $90$ degrees. If the perimeter of this triangle is $15 +$ $\displaystyle 5\sqrt{3}$, then the length of the hypotenuse of this triangle is
Question 34 :
If the two legs of a right angled triangle are equal and the square of the hypotenuse is $100cm^2$, then the length of each leg is _________.
Question 35 :
Given the measures of the sides of the triangle , identify which measures are in the ratio 3 : 4 : 5
Question 36 :
If ABC and DEF are similar triangles such that $\displaystyle \angle A=47^{\circ}$ and $\displaystyle \angle B=83^{\circ}$ then $\displaystyle \angle F$ is
Question 37 :
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 38 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $c$ when $a=8\ cm$ and $b=6\ cm$.
Question 39 :
Select the correct alternative .  If $a , b ,c$ are sides of a triangle and $a^{2} + b ^{2}= c^{2} $, name the type of triangle
Question 40 :
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 42 :
Two poles of height $6m$ and $11m$ stand on a plane ground. If the distance between the feet of the poles is $12m$, find the distance between their tops
Question 44 :
If the ratio of the corresponding sides of the two similar triangles is 2 : 3, then the ratio of their corresponding altitudes is
Question 45 :
Sides of two similar triangles are in the ratio of $5 : 11$ then ratio of their areas is 
Question 46 :
Two figures having the ............. shape but not necessarily the ............ size are called similar figures.<br>
Question 47 :
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 48 :
The areas of two similar triangles are $\displaystyle 9\ { cm }^{ 2 }$ and $\displaystyle 16\ { cm }^{ 2 }$, respectively. The ratio of their corresponding heights is:
Question 49 :
$\triangle ABC$ is similar to $\triangle XYZ$ by $SAS$ similarity.If in $\triangle ABC$ $AB=12,BC=8,\angle B=60$<br/>and in $\triangle XYZ$ Find the value of $\angle Y$
Question 50 :
The areas of two similar triangles ABC and PQR are $25\ cm^{2}\ \& \  49\ cm^{2}$, respectively. If QR $=9.8$ cm, then BC is:<br/>
