MCQ 11 Mark
The lengths of the three sides of a triangle are $4 cm, 5 cm$ and 7 cm . Which of the following cannot be the length of any one of the medians?
View full question & answer→MCQ 21 Mark
ABD is a triangle such that $\angle ADB =20^{\circ}$ and C is a point on BD such that $AB =$ AC and $CD = CA$. The measure of $\angle ABC$ is :
- ✓
$40^{\circ}$
- B
$50^{\circ}$
- C
$55^{\circ}$
- D
$60^{\circ}$
AnswerCorrect option: A. $40^{\circ}$
View full question & answer→MCQ 31 Mark
ABC is a triangle in which $AC = BC$ and $\angle BAC =50^{\circ}$. Side BC is produced to D such that $BC = CD . \angle BAD$ is equal to :
- A
$45^{\circ}$
- B
$50^{\circ}$
- ✓
$90^{\circ}$
- D
$100^{\circ}$
AnswerCorrect option: C. $90^{\circ}$
View full question & answer→MCQ 41 Mark
In the figure, $\triangle ABD \cong \triangle ACD$. If $\angle DAC =30^{\circ}$ and $\angle BDC =110^{\circ}$, then the measure of $\angle DBA$ is :
- A
$30^{\circ}$
- B
$50^{\circ}$
- C
$70^{\circ}$
- ✓
$25^{\circ}$
AnswerCorrect option: D. $25^{\circ}$
View full question & answer→MCQ 51 Mark
In the given figure, the bisectors of $\angle B$ and $\angle C$ intersect each other at O and $\angle BAC =50^{\circ}$. The measure of $\angle BOC$ is :
- A
$100^{\circ}$
- ✓
$115^{\circ}$
- C
$130^{\circ}$
- D
$140^{\circ}$
AnswerCorrect option: B. $115^{\circ}$
View full question & answer→MCQ 61 Mark
Assertion (A) : In $\triangle A B C, D$ is a point on side $B C$.
\[AB+BC+AC>2 AD\]
Reason (R) : Sum of two sides of a triangle is greater than the third side.
View full question & answer→MCQ 71 Mark
Assertion (A) : If three angles of a triangle are equal to the corresponding three angles of another triangle, then the triangles are congruent.
Reason (R) : Two triangles are said to be congruent, if and only if, one of them can be made to superimpose on the other so as to cover exactly.
MCQ 81 Mark
Assertion (A) : The orthocentre of a triangle may lie in the exterior of the triangle.
Reason (R) : The point of intersection of the medians of a triangle is called its orthocentre.
MCQ 91 Mark
In $\triangle ABC , AB > AC$ and D is any point on BC , then, AB $\qquad$_________.
AnswerCorrect option: D. $> AD$
View full question & answer→MCQ 101 Mark
The angles of a triangle are $5(x-4)^{\circ},(4 x+5)^{\circ}$ and $(x+25)^{\circ}$, then the value of $x$ is :
View full question & answer→MCQ 111 Mark
In a $\triangle ABC , 2 \angle A=3 \angle B$ and $\angle C =100^{\circ}$. The correct ascending order of sides of the triangle is :
- ✓
$AC < BC < AB$
- B
$BC < AC < AB$
- C
$AB < AC < AB$
- D
$BC < AB < AC$
AnswerCorrect option: A. $AC < BC < AB$
View full question & answer→MCQ 121 Mark
In a $\triangle ABC , AB =6 cm, BC =7 cm$ and $CA =8 cm$. The smallest angle of the triangle is :
- A
$\angle A$
- B
$\angle B$
- ✓
$\angle C$
- D
AnswerCorrect option: C. $\angle C$
View full question & answer→MCQ 131 Mark
In a $\triangle ABC , \angle A =40^{\circ}$ and $\angle B =60^{\circ}$. The longest side of the triangle is :
View full question & answer→MCQ 141 Mark
In a $\triangle ABC , AB > BC > CA$. Then :
- ✓
$AB - BC < CA$
- B
$AB - BC > CA$
- C
$AB + BC < CA$
- D
AnswerCorrect option: A. $AB - BC < CA$
View full question & answer→MCQ 151 Mark
ABC is a right-angled triangle whose hypotenuse is AC . If $AB : BC =3: 4$, then the smallest angle of the triangle is :
- A
$\angle A$
- B
$\angle B$
- ✓
$\angle C$
- D
AnswerCorrect option: C. $\angle C$
View full question & answer→MCQ 161 Mark
In right triangles ABC and DEF , if hypotenuse $AB = EF$ and side $AC = DE$, then $\triangle ABC$ is congruent to :
- A
$\triangle FED$
- ✓
$\triangle EFD$
- C
$\triangle DEF$
- D
$\triangle FDE$
AnswerCorrect option: B. $\triangle EFD$
View full question & answer→MCQ 171 Mark
In the figure, $AB = AC$ and $DB = DC$. $\angle ABD : \angle ACD$ is :
View full question & answer→MCQ 181 Mark
In the adjoining figure, $AB = AC , BD = CD$, $\angle BAD =32^{\circ}, \angle BDC =56^{\circ}, \angle CAD =2 x^{\circ}$ and $\angle BDA =(x+y)^{\circ}$. The values of $x$ and $y$ will be :
- A
$x=10, y=16$
- ✓
$x=16, y=12$
- C
$x=18, y=8$
- D
$x=12, y=16$
AnswerCorrect option: B. $x=16, y=12$
View full question & answer→MCQ 191 Mark
In the adjoining figure, $AB = AC$ and $BD = CD$. Then, $\angle ADC =$.
- A
$60^{\circ}$
- B
$75^{\circ}$
- ✓
$90^{\circ}$
- D
$100^{\circ}$
AnswerCorrect option: C. $90^{\circ}$
View full question & answer→MCQ 201 Mark
In the adjoining figure, $\angle ABC =90^{\circ}, \angle BCA =50^{\circ}$ and $BD \perp AC$. Then, $\angle ABD =$.
- A
$30^{\circ}$
- B
$40^{\circ}$
- ✓
$50^{\circ}$
- D
$60^{\circ}$
AnswerCorrect option: C. $50^{\circ}$
View full question & answer→MCQ 211 Mark
In a $\triangle PQR , \angle Q =50^{\circ}, \angle R =65^{\circ}$ and $QR =4 cm$. Then $PQ =$
View full question & answer→MCQ 221 Mark
In a $\triangle ABC , AB = AC$ and $\angle B =50^{\circ}$. Then $\angle A =$
- A
$50^{\circ}$
- ✓
$80^{\circ}$
- C
$100^{\circ}$
- D
$105^{\circ}$
AnswerCorrect option: B. $80^{\circ}$
View full question & answer→MCQ 231 Mark
In $\triangle A B C, A B>A C$ and $D$ is any point on $B C$, then, $A B$ _________________ .
- A
$<$ DC
- B
$< AD$
- C
$= BC$
- ✓
$> AD$
AnswerCorrect option: D. $> AD$
View full question & answer→MCQ 241 Mark
The angles of a triangle are $5(x-4)^{\circ},(4 x+5)^{\circ}$ and $(x+25)^{\circ}$, then the value of $x$ is :
View full question & answer→MCQ 251 Mark
In a $\triangle A B C, 2 \angle A=3 \angle B$ and $\angle C=100^{\circ}$. The correct ascending order of sides of the triangle is :
- ✓
$AC < BC < AB$
- B
$BC < AC < AB$
- C
$AB < AC < AB$
- D
$BC < AB < AC$
AnswerCorrect option: A. $AC < BC < AB$
View full question & answer→MCQ 261 Mark
In a $\triangle ABC , AB =6 cm, BC =7 cm$ and $CA =8 cm$. The smallest angle of the triangle is :
- A
$\angle A$
- B
$\angle B$
- ✓
$\angle C$
- D
AnswerCorrect option: C. $\angle C$
View full question & answer→MCQ 271 Mark
In a $\triangle ABC , \angle A =40^{\circ}$ and $\angle B =60^{\circ}$. The longest side of the triangle is :
View full question & answer→MCQ 281 Mark
In a $\triangle ABC , AB > BC > CA$. Then :
- ✓
$AB - BC < CA$
- B
$AB - BC > CA$
- C
$AB + BC < CA$
- D
AnswerCorrect option: A. $AB - BC < CA$
View full question & answer→MCQ 291 Mark
If $a, b, c$ be the lengths of the sides of a triangle, then :
- A
$a=b+c$
- ✓
$a < b+c$
- C
$a>b+c$
- D
$a < b-c$
AnswerCorrect option: B. $a < b+c$
View full question & answer→MCQ 301 Mark
ABC is a right-angled triangle whose hypotenuse is AC . If $AB : BC =3: 4$, then the smallest angle of the triangle is :
- A
$\angle A$
- B
$\angle B$
- ✓
$\angle C$
- D
AnswerCorrect option: C. $\angle C$
View full question & answer→MCQ 311 Mark
In right triangles ABC and DEF , if hypotenuse $AB = EF$ and side $AC = DE$, then $\triangle A B C$ is congruent to :
- A
$\triangle FED$
- ✓
$\triangle EFD$
- C
$\triangle DEF$
- D
$\triangle FDE$
AnswerCorrect option: B. $\triangle EFD$
View full question & answer→MCQ 321 Mark
In the figure, $AB = AC$ and $DB = DC$. $\angle ABD : \angle ACD$ is :
- A
$1: 2$
- B
$2: 1$
- ✓
$1: 1$
- D
$1: 3$
AnswerCorrect option: C. $1: 1$
View full question & answer→MCQ 331 Mark
In the adjoining figure, $AB = AC , BD = CD$, $\angle BAD =32^{\circ}, \angle BDC =56^{\circ}, \angle CAD =2 x^{\circ}$ and $\angle BDA =(x+y)^{\circ}$. The values of $x$ and $y$ will be :
- A
$x=10, y=16$
- ✓
$x=16, y=12$
- C
$x=18, y=8$
- D
$x=12, y=16$
AnswerCorrect option: B. $x=16, y=12$
View full question & answer→MCQ 341 Mark
In the adjoining figure, $AB = AC$ and $BD = CD$. Then, $\angle ADC =$
- A
$60^{\circ}$
- B
$75^{\circ}$
- ✓
$90^{\circ}$
- D
$100^{\circ}$
AnswerCorrect option: C. $90^{\circ}$
View full question & answer→MCQ 351 Mark
In the adjoining figure, $\angle ABC =90^{\circ}, \angle BCA =50^{\circ}$ and $BD \perp AC$. Then, $\angle ABD =$
- A
$30^{\circ}$
- B
$40^{\circ}$
- ✓
$50^{\circ}$
- D
$60^{\circ}$
AnswerCorrect option: C. $50^{\circ}$
View full question & answer→MCQ 361 Mark
In a $\triangle PQR , \angle Q =50^{\circ}, \angle R =65^{\circ}$ and $QR =4 cm$. Then $PQ =$
View full question & answer→MCQ 371 Mark
In a $\triangle ABC , AB = AC$ and $\angle B =50^{\circ}$. Then $\angle A =$
- A
$50^{\circ}$
- ✓
$80^{\circ}$
- C
$100^{\circ}$
- D
$105^{\circ}$
AnswerCorrect option: B. $80^{\circ}$
View full question & answer→MCQ 381 Mark
View full question & answer→MCQ 391 Mark
Assertion (A) : If three angles of a triangle are equal to the corresponding three angles of another triangle, then the triangles are congruent.
Reason (R): Two triangles are said to be congruent, if and only if, one of them can be made to superimpose on the other so as to cover exactly.
MCQ 401 Mark
Assertion (A): The orthocentre of a triangle may lie in the exterior of the triangle.
Reason (R): The point of intersection of the medians of a triangle is called its orthocentre.