Which of the following is not a criterion for congruence of triangles?
- SAS
- SSA
- ASA
- SSS
Question types
Congruent Triangles question types
81 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
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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.
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In triangles ABC and PQR three equality relation between some parts are as follows:
$\text{AB}=\text{QP},\angle\text{B}=\angle\text{P}$ and $\text {BC}=\text{PR}$
State which of the congruence conditions applies:
View full solution →$\text{AB}=\text{QP},\angle\text{B}=\angle\text{P}$ and $\text {BC}=\text{PR}$
State which of the congruence conditions applies:
- SAS
- ASA
- SSS
- RHS
In triangles ABC and PQR, if $\angle\text{A}=\angle\text{R},\angle\text{B}=\angle\text{P}$ and $\text{AB}=\text{RP},$ then which one of the following congruence conditioins applies:
View full solution →- SAS
- ASA
- SSS
- RHS
In Fig. The measure of $\angle\text{B}'\text{A}'\text{C}'$ is:
View full solution →- 50º
- 60º
- 70º
- 80º
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 =
- 5cm
- 6cm
- 7cm
- 8cm
The following statements are true (T) and which are false (F):
Two right triangles are congruent if hypoenuse and a side of the other trianlge.
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.
The following statements are true (T) and which are false (F):
The bisectors of two equal angles of a triangle are equal.
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 statements are true (T) and which are false (F):
If any two sides of a right triangle are respectively equal to two sides of other right triangle then the two triangle are congruent.
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 $\triangle\text{ADC}\cong\triangle\text{CBA}.$
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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 →Two lines AB and CD intersect at O such that BC is equal and parellel to AD. prove that the lines AB and CD bisect at O.
The vertical angle of an isosceles triangle is 100º. Find its base angles.
Prove that the sum of three altitudes of a triangle is less than the sum of its sides.
Prove that the perimeter of a triangle is greater than the sum of its altitudes.
Prove that the medians of an equilateral triangle are equal.
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