Deducing Properties of Equilateral Triangles

Q.

If one angle of a triangle is 60 degrees, then ithe triangle must be an equilateral triangle.

1. False

2. True

Q.

Assertion : A triangle can have two obtuse angles.
Reason : Sum of the three angles in a triangle is always ${180}^{\circ }$
Which of the following is correct.

1. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

2. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

3. If Assertion is correct but Reason is incorrect.

4. If Assertion is incorrect but Reason is correct.

Q. Each angle of an equilateral triangle measures ________ .

1. ${40}^o$
2. ${50}^o$
3. ${70}^o$
4. ${60}^o$

Q. Which of the following is a classification of a triangle based on the length of its side?

1. Isosceles triangle
2. Right triangle
3. Scalene triangle
4. Equilateral triangle

Q.

Identify the triangle which cannot be constructed:

1. 

2. 

3. 

4. 

Q.

In the given figure, AC = AD = CD = BD. Then the measure of angle ABC is

1. ${15}^{\circ }$

2. ${30}^{\circ }$

3. ${45}^{\circ }$

4. ${60}^{\circ }$

Q.

Can you construct a triangle whose measures are $70°,48°$ and $62°$ ?

Q.

The value of $x$ in the given figure is

1. ${60}^{\circ }$
   

2. ${15}^{\circ }$

3. ${30}^{\circ }$
   

4. ${45}^{\circ }$
   

Q.

If in the given figure, triangle ABC and triangle DCE are equilateral, the measure of the angle ACD is

1. ${15}^{\circ }$

2. ${30}^{\circ }$

3. ${45}^{\circ }$

4. ${60}^{\circ }$

Q.

A triangle can be constructed by taking two of its angles as: (a)(b) 70⁰, 115⁰ (c) 135⁰, 45⁰ (d) 90⁰, 90⁰

1. $110°,40°$

2. $70°,115°$

3. $135°,45°$

4. $90°,90°$

Q.

In the given figure find out the opposite angles.

Q. All the angles in an equilateral triangle is equal to?

1. 30 degrees
2. 60 degrees
3. 45 degrees
4. 90 degrees

Q. One of the exterior angles of a triangle is ${80}^o$, and the interior opposite angles are equal to each other. What is the measure of each of these two angles?

Q. Equilateral triangle is an example of ________ .

1. acute angled triangle
2. right angled triangle
3. scalene triangle
4. obtuse angled triangle

Q.

In a triangle ABC, ∠B = 60° and ∠C = 80°. Suppose the bisector of ∠B and ∠C meet at I. Find ∠BIC.

Q. $\text{Which of the following is correct about}\text{the}△ABC?$

1. Isosceles
2. Equilateral
3. Acute
4. Scalene

Q.

If in the given figure, ABCD is a rectangle and DCE is an equilateral triangle, then which of the following statements is/are correct?

1. $\Delta DAE\cong \Delta CBE$
2. $\angle DAE={15}^{\circ }$
3. $\Delta AEB$ is isosceles.
4. $\Delta DAE$ is isosceles.

Q.

How many triangles can be drawn having its angles as $45°,64°$ and $72°$ ?

1. $0$

2. $2$

3. Only one

4. $3$

Q.

In the given figure, $AB=BC$ and $AD=BD=DC$. The number of isosceles triangles in the figure is

1. $1$

2. $2$

3. $3$

4. $4$