1 Mark Question

Question 11 Mark

Write 'T' for true and 'F' for false.
Each acute angle of an isosceles right triangle measures 60°.

Answer

False.Solution:
Each acute angle of an isosceles right triangle measures 45°.

Question 21 Mark

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

Answer

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

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 $\angle\text{ACE}=\underline{\text{50}}^\circ$Solution:
$\text{AB}||\text{CE}$ $\therefore\angle\text{BAC}=\angle\text{ACE}=50^\circ$ (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°.

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.Solution:
This is because the sum of three angles of a triangle must be 180°. So, if one of the angles is 90°, the sum of the other two angles must also be 90°. So, none of the angles can be greater than 90°.

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, $\text{BD}=\underline{\text{DC}}$Solution:
$\text{BD}=\text{DC}$
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 Mark Question

Take a timed test