Properties of an Isosceles Triangle

Q. Every equilateral triangle is an isosceles triangle and vice - versa.

1. True
2. False

Q. In an isosceles triangle $ABC$, if $AB=AC\&\angle B={65}^{\circ }$, then $\angle C={65}^{\circ }$.

1. No
2. Yes

Q. For the given isosceles triangle $ABC$ such that $AB=AC$ and $AD$ bisects the line $BC$, such that $AC\ne DC$ then $\angle DAC=$

1. $\angle DAB$
2. $\angle ADC$
3. $\angle C$

Q. For the given isosceles triangle find the angle $\angle B.$

1. ${60}^o$
2. ${59}^o$
3. ${58}^o$
4. ${57}^o$

Q. Given the triangle $ABC$ with angles shown in the diagram above, then $m\angle ACD=$

1. ${100}^{\circ }$
2. ${130}^{\circ }$
3. ${120}^{\circ }$

Q. If $a,b\&c$ are the lengths of the sides of the triangle $ABC$ such that $\angle ABC={90}^{\circ }$ and $a=b\ne c$, then triangle $ABC$ is a

1. An isosceles right triangle
2. A scalene right triangle
3. An isosceles acute triangle

Q. The perimeter of the given triangle is $11.1$ cm. Determine the dimension of the side YZ.

1. 3.4 cm
2. 4.3 cm
3. 5.5 cm

Q. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> In a triangle ΔABC, if AB = BC or ∠B = ∠C, then it is a/an triangle.

Q. Find the interior angles of a right-angled isosceles triangle.

1. ${30}^o$
2. ${45}^o$
3. ${60}^o$
4. ${90}^o$

Q. For a triangle $ABC$, right - angled at $B$, if $m\angle A=m\angle B$, then $m\angle A=$

1. ${45}^{\circ }$
2. ${50}^{\circ }$
3. ${55}^{\circ }$

Q. For an isosceles triangle $ABC,AB=BC\&\angle A=2x^{\circ },\angle B=x^{\circ }$, then $\angle C=$

1. ${60}^{\circ }$
2. ${45}^{\circ }$
3. ${30}^{\circ }$

Q. Measure of a median of an isosceles triangle is half of its base. Find the interior angles of the triangle.

1. ${45}^o$
2. ${60}^o$
3. ${90}^o$
4. Insufficient data.

Q. If the angles of a triangle are arranged in the ascending order of their magnitudes and the difference between the two consecutive angles is 𝟏𝟎°, find the measure of all the three angles.​