M.C.Q. [1 Marks Each]

MCQ 11 Mark

In Fig. $AB = BC$ and $AD = BD = DC.$
The number of isoscles triangles in the figure is:

A
$1$
B
$2$
✓
$3$
D
$4$

Answer

Correct option: C.

$3$

A triangle, in which two sides are equal, is known as an isosceles triangle.
Hence, there are $3$ isosceles triangles in the given figure,
i.e. $A ABC, AABD$ and $ABDC$. $[AB = BC, AD = DB$ and $BD = DC]$

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MCQ 21 Mark

In Fig. $\angle\text{BAC}-90^\circ$ and $\text{AD}\perp\text{BC}.$ The number of right triangles in the figure is:

A
$1$
B
$2$
✓
$3$
D
$4$

Answer

Correct option: C.

$3$

A triangle, in which one angle is equal to $90^\circ $, is called a right angled triangle. Since, $\angle\text{BAC}=90^\circ$
$ABAC$ is a right angled triangle.
Also, $\angle\text{ADB}=\angle\text{ADC}=90^\circ$ $[AD$ Perpendicular to $BC]$
$A ADB$ and $A ADC$ are also right angled triangles.
Hence, there are $3$ right angled triangles.

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MCQ 31 Mark

In Fig. $\text{PQ}\perp\text{RQ},\text{PQ}=5\text{cm}$ and $\text{QR}=5\text{cm}.$ Then $\triangle\text{PQR}$ is:

A
A right triangle but not isosceles.
✓
An isosceles right triangle.
C
Isosceles but not a right triangle.
D
Neither isosceles nor right triangle.

Answer

Correct option: B.

An isosceles right triangle.

Since, $PQ$ Perpendicular to $RQ$,
So, $\triangle\text{PQR}=90^\circ$
$\therefore\triangle\text{PQR}$ is right angled triangle.
Also, in $\triangle\text{PQR},$
$\text{PQ}=\text{QR}$
$\triangle\text{PQR}$ is an isosceles triangle.
Hence, $\triangle\text{PQR}$ is an isosceles right angled triangle.

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MATHS M.C.Q. [1 Marks Each]

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