1 Marks Question

Question 11 Mark

Write $'T'$ for true and $'F'$ for false. Each acute angle of an isosceles right triangle measures $60^\circ $.

Answer

False.
Each acute angle of an isosceles right triangle measures $45^\circ $.

Question 21 Mark

Fill in the blanks. In $\triangle\text{ABC},$ if $\angle\text{A}=90^\circ,$ then $B C^2$ = (___) + (___).

Answer

In $\triangle\text{ABC},$ if $\angle\text{A}=90^\circ,$ then: $\text{BC}^2=(\underline{\text{AB}})^2+(\underline{\text{AC}})^2$
In $\triangle\text{ABC},$ if $\angle\text{A}=90^\circ,$ then by pythagoras theoram:
$\text{BC}^2=\text{AB}^2+\text{AC}^2$

View full question & answer→

Question 31 Mark

Write $'T'$ for true and $'F'$ for false. If two lines intersect each other, then the vertically opposite angles are equal.

Answer

True.

View full question & answer→

Question 41 Mark

Fill in the blanks. In the given figure, side $BC$ of $\triangle\text{ABC}$ is produced to $D$ and $\text{CE}||\text{BA.}$ If $\angle\text{BAC}=50^\circ$ then $\angle\text{ACE}=\text{_____.}$

Answer

In the given figure, side $BC$ of $\triangle\text{ABC}$ is produced to $D$ and $\text{CE}||\text{BA.}$
If $\angle\text{BAC}=50^\circ$, then $\angle\text{ACE}=\underline{\text{50}}^\circ$
$\text{AB}||\text{CE}$ $\therefore\angle\text{BAC}=\angle\text{ACE}=50^\circ$ (alternate angles)

View full question & answer→

Question 51 Mark

Write $'T'$ for true and $'F'$ for false. If two parallel lines are cut by a transversal, then the alternate interior angles are equal.

Answer

True.

View full question & answer→

Question 61 Mark

Fill in the blanks.
The sum of the angles of a triangle is _____.

Answer

The sum of the angles of a triangle is $180^\circ $.

View full question & answer→

Question 71 Mark

Write $'T'$ for true and $'F'$ for false.
A right triangle cannot have an obtuse angle.

Answer

True.
This is because the sum of three angles of a triangle must be $180°$.
So, if one of the angles is $90^\circ $, the sum of the other two angles must also be $90^\circ $.
So, none of the angles can be greater than $90^\circ $.

View full question & answer→

Question 81 Mark

Fill in the blanks. In $\triangle\text{ABC},$ $AB = AC$ and $\text{AD}\bot\text{BC},$ then $BD $= _____.

Answer

In $\triangle\text{ABC}:\text{AB}=\text{AC},\text{AD}\bot\text{BC}$ Then, $\text{BD}=\underline{\text{DC}}$
$\text{BD}=\text{DC}$
This is because in an isosceles triangle, the perpendicular dropped from the vertex joining the equal sides, bisects the base.

View full question & answer→

Question 91 Mark

Fill in the blanks. The sum of any two sides of a triangle is always _____ than the third side.

Answer

The sum of any two sides of a triangle is always greater than the third side.

View full question & answer→

Maths 1 Marks Question

Take a timed test