Classification of Triangles Based on Sides

Q. Classify the following triangles on the basis of their sides.

1. Isosceles Triangle
2. Scalene Triangle
3. Equilateral Triangle

Q.

A triangle with 2 sides of equal length is called:

1. An Isosceles Triangle

2. An Equilateral Triangle

3. A Scalene Triangle

4. An Obtuse Triangle

Q.

A triangle can be classified on the basis of

1. Sides

2. Angles

3. Number of vertices

4. A triangle can only be classified on the basis of its angles.

Q. If all the angles of a triangle are equal then it is said to be __.

1. a isosceles triangle
2. a scalene triangle
3. an equilateral triangle
4. a right angled triangle

Q.

Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation)

Q. Which of the following are the properties of an isosceles triangle?

1. All three sides are equal
2. Two angles are equal
3. None of the sides are equal
4. Two sides are equal

Q. What type of triangle is $△ABC$, where AB = BC = CA = 12 cm.

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

Q.

Classify the following as acute-angled, right-angled or obtuse-angled triangles according to the measures of their angles.

$20°,40°and120°$

Q.

Name the type of triangle:

Triangle with length of sides $7cm,8cmand9cm$.

Q.

A triangle in which each angle is lesser than 90 degrees is called:

1. A Scalene Triangle

2. An Acute Triangle

3. An Obtuse Triangle

4. A Right Triangle

Q.

A scalene triangle has two sides equal

1. True

2. False

Q. Which of these following triangles can have two sides equal?

1. Right-angled Triangle
2. Isosceles Triangle
3. Scalene Triangle
4. Equilateral Triangle

Q. In a right angled triangle, one of the acute angle exceeds the other by ${20}^{\circ }$. Find the measure of both the acute angles in the right angled triangle.

1. ${35}^{\circ },{35}^{\circ }$
2. ${35}^{\circ },{25}^{\circ }$
3. ${35}^{\circ },{55}^{\circ }$
4. ${35}^{\circ },{75}^{\circ }$

Q.

All equilateral triangles are ______.

1. right-angled triangles

2. scalene

3. isosceles

4. right-isosceles

Q.

What do we call a triangle with no sides equal?

1. Equilateral Triangle

2. Right Triangle

3. Isosceles Triangle

4. Scalene Triangle

Q. Explain the three types of triangles based on sides. [2 MARKS]

Q. In $\Delta$ PQR, seg PM is a median of $\Delta$PQR. Bisectors of $\angle$PMQ and $\angle$PMR intersect side PQ and PR at X and Y respectively. Show that $\Delta$ PQR is similar to $\Delta$ PXY.

Q.

What are the angles of an equilateral triangle?

Q. $\Delta ABC\cong \Delta DEF$

1. True
2. False

Q.

Match the following:

(1)		(a)	Equilateral triangle
(2)		(b)	Acute angled triangle
(3)		(c)	Right angled triangle
(4)		(d)	Obtuse angled triangle

Q. In the figure below if AB $=$ AC, the value of x is :

1. ${110}^{\circ }$
2. ${50}^{\circ }$
3. ${55}^{\circ }$
4. ${70}^{\circ }$

Q. An equilateral triangle is also ____ triangle.

1. a right-angled
2. a scalene
3. an obtuse angled
4. an acute angled