If $\triangle\text{ABC}\cong\triangle\text{LKM},$ then side of $\triangle\text{LKM}$ equal to side $AC$ of $\triangle\text{ABC}$ is:
- A$LK$
- B$KM$
- ✓$LM$
- DNone of these
Answer: C.
View full solution →Question types
Congruent Triangles question types
100 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
100
Questions
7
Question groups
5
Question types
01
MCQ(1M)
20 Q→02Fill in the Blanks.
13 Q→03True False With Reason
15 Q→041 Mark Question
1 Q→052 Mark Question
3 Q→063 Mark Question
5 Q→074 Mark Question
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:
- A$50^\circ$
- ✓$60^\circ$
- C$70^\circ$
- D$80^\circ$
Answer: B.
View full solution →In Fig. $\text{ABC}$ 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:
- ✓$72^\circ$
- B$95^\circ$
- C$73^\circ$
- D$74^\circ$
Answer: A.
View full solution →In Fig. $X$ is a point in the interior of square $\text{ABCD. AXYZ}$ is also a square. If $DY = 3\ cm$ and $AZ = 2\ cm$, then $BY =$ 
- A$5\ cm$
- B$6\ cm$
- ✓$7\ cm$
- D$8\ cm$
Answer: C.
View full solution →In Fig. $\text{ABC}$ ids an isosceles triangle whose side $AC$ is produced to $E$. Through $C, CD$ is drawn parallel to $BA$. The value of $x$ is: 
- A$52^\circ$
- B$76^\circ$
- C$156^\circ$
- ✓$104^\circ$
Answer: D.
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.
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 = _______.
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.
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.
In a right triangle the hypotenuse is the ___ side.
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.
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.
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.
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 →If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?
In two conruent trianlges ABC and DEF, If AB = EF. Name the pairs of equal angles.
In Fig. $\text{AD}\perp\text{CD}$ and $\text{CB}\perp\text{CD}.$ If $\text{AQ}=\text{BP}$ and $\text{DP}=\text{CQ},$ prove that $\angle\text{DAQ}=\angle\text{CBP}.$
View full solution →If ABC and DEF are two triangles such that AC = 2.5cm, BC = 5cm, $\angle\text{C}=75^\circ,$ DE = 2.5cm DF = 5cm and $\angle\text{D}=75^\circ.$ Are two triangles congruent?
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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