If $\triangle\text{ABC}\cong\triangle\text{LKM},$ then side of $\triangle\text{LKM}$ equal to side AC of $\triangle\text{ABC}$ is:
- ALK
- BKM
- ✓LM
- DNone of these
Answer: C.
View full solution →Question types
Congruent Triangles question types
95 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
95
Questions
6
Question groups
5
Question types
01
M.C.Q
20 Q→02True False[1 Marks ]
15 Q→03Fill In The Blanks[1 Marks ]
13 Q→041 Marks Question
1 Q→052 Marks Questions
3 Q→064 Marks Questions
43 Q→Sample Questions
Congruent Triangles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
In Fig. The measure of $\angle\text{B}'\text{A}'\text{C}'$ is:
- A50º
- ✓60º
- C70º
- D80º
Answer: B.
View full solution →In Fig. ABC is a triangle in which $\angle\text{B}=2\angle\text{C}.$ D is a point on side BC such that AD bisects $\angle\text{BAC}$ and $\text{AB}=\text{CD}.$ Be is the bisector of $\angle\text{B}.$ The measure of $\angle\text{BAC}$ is:
- ✓72º
- B95º
- C73º
- D74º
Answer: A.
View full solution →In Fig. X is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3cm and AZ = 2cm, then BY = 
- A5cm
- B6cm
- ✓7cm
- D8cm
Answer: C.
View full solution →In Fig. ABC ids an isosceles triangle whose side AC is produced to E. Through C, CD is drawn parallel to BA. The value of x is: 
- A52º
- B76º
- C156º
- ✓104º
Answer: D.
View full solution →The following statements are true (T) and which are false (F):If the bisector of the verical angle of a triangle bisects the base, then the triangle may be isosceles.
The following statement are true $(T)$ and which are false $(F):$ Angles opposite to equal sides of a triangle are equal.
View full solution →The following statements are true and which are false? Sum of any two sides of a triangle is greater than twice the median drown to the third side.
The following statements are true and which are false?
Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.
Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.
The following statements are true $(T)$ and which are false $(F):$ The two alitutde corresponding to two equal sides of a triangle need not be equal.
View full solution →Fill in the blanks to make the following statements true. Difference of any two sides of a triangle is ___ than the third side.
In right triangles $ABC$ and $DEF,$ if hypotenuse $\text{AB}=\text{EF}$ and side $\text{AC}=\text{DE},$ then $\triangle\text{ABC}\cong\triangle$ ________.
View full solution →If altitudes $CE$ and $BF$ of a triangle $ABC$ are equal, then $AB =$ _______.
View full solution →Fill in the blanks to make the following statements true. If two sides of a triangle are unequal, then the larger side has ___ angle opposite to it.
Fill in the blanks to make the following statements true. In a right triangle the hypotenuse is the $...........$ side.
View full solution →Find the measure of each angle of an equilateral triangle.
In two triangles ABC and DEF, it is given that $\angle\text{A}=\angle\text{D},\angle\text{B}=\angle\text{E}$ and $\angle\text{C}=\angle\text{F},$ Are the two triangles necessarily congruent?
View full solution →In Fig. it is given that $\text{AB}=\text{CD}$ and $\text{AD}=\text{BC}.$ Prove that $\triangle\text{ADC}\cong\triangle\text{CBA}.$
View full solution →In a $\triangle\text{PQR,}$ if $\text{PQ}=\text{QR}$ and L, M and N are the mid-points of the sides $PQ, QR$ and $RP$ respectively. Prove that $\text{LN}=\text{MN}.$
View full solution →In Fig. $\text{AB}=\text{AC}$ and $\angle\text{ACD}=105^\circ,$ find $\angle\text{BAC}.$
View full solution →Prove that in a quadrilateral the sum of all the sides is geater than the sum of its diagonals.
In a $\triangle\text{ABC},$ if $\text{AB}=\text{AC}$ and $\angle\text{B}=70^\circ.$ Find $\angle\text{A}.$
View full solution →$ABC$ is a triangle in which $BE$ and $CF$ are, respectively, the perpendiculals to the side $AC$ and $AB$. if $\text{BE}=\text{CF},$ prove that $\triangle\text{ABC}$ is isosceles.
View full solution →$ABC$ is a triangle in which $\angle\text{B}=2\angle\text{C}.$ $D$ is a point on $BC$ such that $AD$ bisects $\angle\text{BAC}$ and $\text{AB}=\text{CD}.$ Prove that $\angle\text{BAC}=72^\circ.$
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