Question 2 :
$\Delta ABC \cong \Delta PQR$. If AB $=$ 5 cm, $\angle B = 40^{\circ}$ and $\angle A = 80^{\circ},$ then which of the following is true.<br>

Question 3 :
Two triangles are congruent, if two angles and the side included between them in one triangle is equal to the two angles and the side included between them of the other triangle.This is known as

Question 4 :
If in two triangles $ABC$ and $DEF$, $AB=\,DF$, $BC=\,DE$ and $\angle B=\angle D$, then $\triangle ABC\cong $ $\triangle $____.

Question 5 :
A triangle ABC in which DE||BC, and intersects AB in D and AC in E<br/>Hence,<br/>$\dfrac{AB}{DB}=\dfrac{AC}{EC}$<br/><br/><br/>

Question 6 :
State 'T' for true and 'F' for false.<br>1. To examine the congruency of plane figures, the superposition method is used.<br>2. If two line segments have different lengths, they are congruent.<br>3. The measure of two congruent angles is the same.<br>4. Object which are exact copies of one another are called plane objects.<br>5. If the corresponding angles of two triangles are equal, the triangles are said to be congruent.<br>1 2 3 4 5

Question 7 :
If the area of two squares is same, they are congruent.

Question 8 :
If two legs of a right triangle are equal to two legs of another right triangle. then the right triangles are congruent.

Question 9 :
In triangle $ ABC $, bisector of angle $ BAC $ meets opposite side $ BC $ at point $ D $. If $ BD= CD $, then $ \bigtriangleup ABC $ is isosceles. <br/><br/>

Question 10 :
State True or False. If false, give reasons for that.<br/>A $1$-rupee and a $5$-rupee coins are congruent.

Question 11 :
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 13 :
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 14 :
In $\displaystyle \bigtriangleup ABC and \bigtriangleup DEF, AB=DE,BC=EF, and \angle B=\angle E,$. The triangles are congruent by SSS test.<br/>

Question 15 :
In $\bigtriangleup ABC and \bigtriangleup QRP, AB =QR,\angle B=\angle R\:and \: \angle C=\angle P.$ By A.S.A, $\triangle ABC$ and $\triangle QRP$ are similar

Question 16 :
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 17 :
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 18 :
If $M$ is the mid-point of a line segment $AB$, then we can say that $AM$ and $MB$ are congruent.

Question 19 :
State whether the following statement is true or false.<br>If two rectangles have equal area, they are congruent.<br>

Question 20 :
State whether the following statement is true or false.<br>If two squares have equal areas, they are congruent.<br>

Question 21 :
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 22 :
If $\triangle ABC\cong \triangle PQR $, then which of the following is not true?

Question 23 :
If a line through one vertex of a triangle divides the opposite sides in the ratio of other two sides, then the line bisects the angle at the vertex.<br/><br/>

Question 24 :
The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.<br/><br/><br/><br/>

Question 25 :
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.<div><br/></div><div>Two statements A and R are given above. Which of the following statements is correct?</div>