Learn Class 7 Math - The Triangle and its Properties

Triangle is a three-figure term that is a closed figure.

It consists of three sides, angles, and vertices. We can see that triangles are of different types. All these types of triangles vary from one another.

Types of the triangle

  • Right angle triangle

    The triangle forms an angle of 90 degrees.

  • Isosceles angle triangle

    It is a type of triangle whose two sides are equal.

  • Equilateral triangle

    It is a triangle whose all the given sides are equal.

Properties of the triangle

  • Sum of Angle property

    The angle sum property of a triangle includes that the whole angle sum of the triangle is equal to 180 degrees.

  • Exterior angle property

    The exterior angle property of the triangle states that it is always equal to the opposite interior angle.

  • Pythagoras theorem

    This triangle property includes the three things, i.e., Hypotenuse, Perpendicular, and Base. And it is represented as H^2 = P^2 + B^2.

Properties of an equilateral triangle

  • The property of an equilateral triangle states that all sides are equal.
  • And each angle of the equilateral triangle is equal to 60°.

Properties of an isosceles triangle

  • This property states that the two sides of the triangle are always equal.
  • And one side always differs in size from the other sides.

Learning Videos for 7th Grade Math - The Triangle and its Properties

The Triangle and its Properties Sample Questions for Class 7

Question 1

The ratio of apples to oranges in a store is 8 apples for every 40 oranges. What is the ratio of apples to oranges in simplest form?
A. 8 to 40
B. 4:20
C. 2:10
D. 1:5

Question 2

Which pair of angles are vertical angles?
A. ang 1 and ang3
B. ang 3 and ang2
C. ang 5 and ang6
D. ang 7and ang6

Question 3

Using the diagram shown, ang1 and ang4 are supplementary angles. If ang4 = 70deg, What is the measure of ang1?
A. 180deg
B. 20deg
C. 110deg
D. 130deg

Question 4

How many ways can you arrange the letters in the word TIGER?
A. 5 x 4 x 3 x 2 x 1 = 180
B. 5 x 4 x 3 = 120
C. 5 x 4 x 3 x 2 x 1 = 120
D. 5

Question 5

Which pair of angles are vertical angles?
A. ang 1 and ang2
B. ang 2 and ang3
C. ang 5 and ang7
D. ang 7 and ang6