Question 2 :
The points $\left( 0,\dfrac { 8 }{ 3 } \right),(1,3)$ and $(82,30)$ are the vertices of:
Question 3 :
In any triangle, the side opposite to the larger (greater) angle is longer
Question 4 :
Two sides of a triangle are of lengths 5 cm and 1.5 cm, then the length of the third side of the triangle cannot be
Question 5 :
If one of the linear pair is acute then the measure of the other angle is:
Question 6 :
Which of the following sets of measurements can be used to construct a triangle?
Question 7 :
Assertion: If two triangles are congruent, then their corresponding angles are equal
Reason: Two congruent triangles have same area
Question 9 :
If $\angle{A} \cong \angle {D}$, then $\angle {D} \cong \angle {A}$ is a ___________ property of congruence.<br/>
Question 11 :
In $\Delta ABC, \angle B = 30^{\circ}, \angle C = 80^{\circ}$ and $\angle A = 70^{\circ}$ then,<br>
Question 12 :
Two sides of a triangle have lengths $7$ and $9$. Which of the following could not be the length of the third side?
Question 13 :
Two triangles are ....... if two sides and included angle of one triangle are equal to two sides and included angle of the other triangle.
Question 14 :
If $\Delta ABC$ is congruent to $\Delta DEF$ by SSS congruence rule, then :<br>
Question 15 :
If $\displaystyle \Delta ABC$ and $\displaystyle \Delta XYZ$ are congruent, then $\displaystyle \Delta ABC ....... \Delta XYZ.$
Question 16 :
It is not possible to construct a triangle with which of the following sides?<br/>
Question 18 :
If $\Delta ABC \cong \Delta DEF,\  \angle A=47^{\circ},\  \angle E=83^{\circ},$ then the value of $\angle C$ is:<br/>
Question 19 :
In $\Delta PQR, \angle P = 60^{\circ}$ and $\angle Q = 50^{\circ}$. Which side of the triangle is the longest ?<br>
Question 20 :
If the corresponding angles of two triangles are equal then they are always congruent. The given statement
Question 21 :
The perimeter of a triangle is $.........$ than the sum of its medians.
Question 22 :
In $\Delta ABC$, if $\angle A = 35^{\circ}$ and $\angle B = 65^{\circ}$, then the longest side of the triangle is :<br>
Question 23 :
Sum of any two angles of a triangle is always greater than the third angle.
Question 24 :
Which is the smallest side in the following triangle?<br>$\displaystyle \angle P:\angle Q:\angle R=1:2:3$
Question 25 :
If a,b,c are the sides of a triangle ABC, then $\sqrt{a} + \sqrt{b} - \sqrt{c} $ is always:
Question 26 :
In $\Delta ABC$, if $\angle A = 50^{\circ}$ and $\angle B = 60^{\circ}$, then the greatest side is :<br>
Question 27 :
If$\displaystyle \Delta ABC\cong \Delta XYZ$, which of the following statements is incorrect ?
Question 28 :
Two plane figures are said to be congruent if they have_____.
Question 30 :
In a triangle ABC , if AB , BC and AC are the three sides of the triangle , then which of the following statements is necessarily true ?
Question 31 :
The sum of the three altitudes of a triangle is $......$ than its perimeter
Question 32 :
Two sides of an acute-angled triangle are $6\ cm$ and $2\ cm$ respectively. Which one of the following represents the correct range of the third side in cm?
Question 33 :
If the areas of two similar triangles are equal, then they are<br/>
Question 34 :
Consider following statementsI: If three angles of a $\bigtriangleup$ are equal to three angles of another $\bigtriangleup$  then the two $\bigtriangleup$ s are congruent.II : If areas of two similar $\bigtriangleup$ s are equal, then the $\bigtriangleup'$s are congruent. Which of above 2 statements is/are correct.
Question 35 :
In a triangle, the difference of any two sides is ____ than the third side.
Question 36 :
Two triangles are .......... if two angles and included side (common to both the angles) are equal to two angles and included side (common to both angles) of the other triangle.
Question 38 :
Which of the following statements is incorrect when  $\displaystyle \Delta PQR\cong \Delta LMN$?<br/>
Question 40 :
State true or false:Any two circles of radii $4\ cm$ each are congruent.
Question 41 :
State true or false:Any two right triangles with hypotenuse $5\ cm$, are congruent.
Question 42 :
If A is the area of a triangle in em", whose sides are 9 em, 10 cm and 11 em, then which one of the following is correct?
Question 44 :
It is not possible to construct a triangle when its sides are :<br>
Question 45 :
$\Delta ABC \cong \Delta PQR$. If AB $=$ 5 cm, $\angle B = 40^{\circ}$ and $\angle A = 80^{\circ},$ then which of the following is true.<br>
Question 46 :
State true or false:Two squares of side $3\ cm$ each and one of them rotated through $45^{\circ}$ are congruent.
Question 47 :
<b>O</b> is a point that lies in the interior of $\Delta ABC$. Then $2(OA - OB -OC) > \text{Perimeter}\ of\ \Delta ABC$.
Question 48 :
Can $6$ cm, $5$ cm and $3$ cm form a triangle?
Question 49 :
Which of the following statements is true when $\displaystyle \Delta ABC\cong \Delta DEF.$
Question 50 :
If $\overline{AB} \cong \overline {CD}$, and $\overline {CD} \cong <br/>\overline {EF},$ then $\overline{AB}\cong \overline{EF}$ is a ___________ property of congruence.<br/>
Question 51 :
Two sides of a triangle are $7$ and $10$ units, which of the following length can be the length of the third side?
Question 52 :
In a triangle $ABC, \angle C=90^{o}, a=3, b=4$ and $D$ is a point on $AB$, so that $\angle BCD=30^{o}$. Then the length of $CD$ is
Question 53 :
Find all possible lengths of the third side, if sides of a triangle have $2$ and $5$.<br/>
Question 54 :
For a $\displaystyle \Delta XYZ, ZY = 12\ m, YX = 8\ m$ and $XZ = 10\ m$. If $\displaystyle \Delta ZYX\cong \Delta ABC$, then $AC =$ _____ $m$.
Question 56 :
In $\triangle ABC$ and $\triangle PQR$, $ \angle A = \angle Q$ and $\angle B = \angle R.$ Which side of $\triangle PQR$ should be equal to side $BC$ of $\triangle ABC$ so that the two triangles are congruent?<br/>
Question 57 :
In a triangle, half of each side is less than the average of the other two sides by 4 cm. Find its area (in cm$\displaystyle ^{2}$)
Question 58 :
Which of the following sets of side lengths will not form a triangle?
Question 59 :
In $\Delta ABC, AD \bot BC; BE \bot AC; CF \bot AB.$ then which of the following option is correct:<br/>
Question 60 :
In triangle ABC, (b+c) cos A+(c+a)cos B+(a+b)cos C is equal to
Question 61 :
Which of the following is not a criterion for congruence of triangles?<br/>
Question 63 :
If length of two sides of a triangle are $6 \,cm$ and $10 \,cm$, then the length of the third side can be
Question 64 :
In $\Delta ABC, \angle A= 30^o , \angle B=40^o $ and $\angle C=110^o$ <br/>In $\Delta PQR, \angle P= 30^o , \angle Q=40^o $ and $\angle R=110^o$ <br/>Then Is $\Delta ABC \cong \Delta PQR$ by AAA ?<br/>
Question 65 :
State whether the following statement is true or false.<br>If two squares have equal areas, they are congruent.<br>
Question 66 :
The longest side of a triangle is three times the shortest side and the third side is $2$ cm shorter than the longest side. If the perimeter of the triangle is at least $61$ cm, find the minimum length of the shortest-side.
Question 68 :
Mark the triplet that can be the lengths of the sides of a triangle.
Question 69 :
The length of two sides of a triangle is $7 \,cm$ and $9 \,cm$. the length of the third side may lie between
Question 70 :
The construction of a triangle $ABC$, given that $BC =$ $6$ cm, $B =$ $45 ^{\circ}$ is not possible when difference of $AB$ and $AC$ is equal to:<br/>
Question 71 :
The difference between the length of any two sides of a triangle is smaller than the length of third side.
Question 72 :
In $ \bigtriangleup ABC\: and\: \bigtriangleup DEF, \angle B=\angle E =90^{\circ};AC=DF\: and\: BC=EF.$ <br/>Then,<br/>triangles are congruent.<br/><br/><br/>
Question 73 :
A triangle has side lengths of $6$ inches and $9$ inches. If the third side is an integer, calculate the minimum possible perimeter of the triangle (in inches).
Question 74 :
If a triangle $PQR$ has been constructed taking $QR = 6 $ cm, $PQ = 3 $ cm and $PR = 4 $ cm, then the correct order of the angle of triangle is
Question 75 :
If AB > AC and length of median from C is 4 units, then the length of median from B can be
Question 76 :
The number of triangles with any three of the length $1, 4, 6$ and $8 $ cm as sides is:
Question 77 :
In triangle $PQR$, an exterior angle at $A$ measures $160^o$, and $\angle$ $Q = 70 ^o$. Which is the longest side of the triangle?<br/>
Question 78 :
In a triangle $ABC, \angle ABC=50^{o}, \angle BAC=30^{o}$, then the shortest sides is
Question 79 :
The length of altitude through $A$ of the triangle $ABC$, where $A = (-3,\ 0);\ B = (4,\ -1);\ C = (5,\ 2).$
Question 80 :
In a $\Delta ABC$, which of the following relation is correct where A, B, C are the vertices and D, E, F are the corresponding mid-points?
Question 81 :
Which of the following can be the length of the third side of triangle whose two sides measure $18 cm$ and $14 cm $?
Question 82 :
Find the length of the third side of the triangle inequality, if sides of a triangle have $a = 4$ and $b = 8$.<br/>
Question 83 :
In $\triangle ABC$ and $\triangle PQR$, $\angle A = \angle Q$ and $\angle B = \angle R.$ Which side of $\Delta$ $PQR$ should be equal to side $AB$ of $\Delta ABC$ so that the two triangles are congruent?<br/>
Question 84 :
Which of the following will form the sides of a triangle?
Question 85 :
Which statement is true about the difference of any two sides of a triangle?
Question 86 :
For a $\displaystyle \Delta ABC,$ $AB = 4 $ mm, $BC= 5$ mm and $AC = 6 $ mm. If $\displaystyle \Delta ABC\cong \Delta DEF$, then $EF =$___.
Question 87 :
Two sides of a triangle have lengths $5$ and $8$, and the length of the third side is an integer. What is the greatest possible value of the perimeter of the triangle?
Question 88 : <p></p><p>Two line segments are congruent if they have the same length.<br/></p><p></p>
Question 89 :
For a $\displaystyle \Delta ABC,\angle A={ 90 }^{ o }$ and $\displaystyle \angle B={ 45 }^{ o }$. If $\displaystyle \Delta ABC\cong \Delta XYZ,$ then $\displaystyle \angle Z= $____.
Question 90 :
If $k$ is an integer and $2 < k < 7$, for how many different values of $k$ is there a triangle with sides of lengths $2, 7$, and $k$?
Question 91 :
State whether the following statement is true or false.<br>If two rectangles have equal area, they are congruent.<br>
Question 92 :
Assertion : Two $\Delta$s are said to be congruent if two sides and an angle of the one triangle are respectively equal to the two sides and an angle of the other triangle.<br/>Reason: Two $\Delta$s are congruent if two sides and the included angle of the one triangle are equal to the corresponding two sides and included angle of the other triangle.<br/>Two statements A and R are given above. Which of the following statements is correct?
Question 93 :
Sum of two sides of a triangle is greater than or equal to the third side.
Question 94 :
State the following statement is True or False.<br/>In an isosceles triangle any two angles of a triangle are same .
Question 95 :
If a $\triangle PQR$ is constructed taking QR = $5$ cm, PQ = $3$ cm and PR = $4$ cm, then the correct order of the angles of the triangle is:
Question 96 :
In $\Delta ABC, A = 50^{\circ}, \angle B = 60^{\circ}$, arranging the sides of the triangle in ascending order, we get :<br>
Question 98 :
The lengths of two sides of a triangle are $3 $ cm and $4 $ cm. Which of the following, can be the length of third side to form a triangle?
Question 99 :
The length of two sides of a triangle are $20 $ mm and $29 $ mm. Which of the following can be the value of third side to form the triangle?
Question 100 :
If two sides of a triangle are $8\ cm$ and $13\ cm$, then the length of the third side is between $a\ cm$ and $b\ cm$. Find the values of $a$ and $b$ such that $a$ is less than $b$.<br>
