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Find the value of x from the given figure and hence find the measure of each angle of the triangle.
Which of the following line-segments is longer?
In the given figure, name the following angles as acute, obtuse, right, straight or reflex.
(a) ∠QOY
(b) ∠YOP
(c) ∠ROX
(d) ∠QOX
(e) ∠POQ
In the given figure, find the measure of the angles marked with a, b, c, d, e and f.
Classify the given triangles whose sides are indicated on them.
Draw a rough sketch of a regular octagon. Draw a rectangle by joining exactly four of the vertices of the octagon.
How many line segments are used in making a triangle?
In the given figure, find the values of x, y, z, s and m.
If B is the mid-point of (AC)̅ and C is the point of (BD)̅ where A, B, C, D lie on a straight line, say why AB = CD?
What are the types of the following triangles on the basis of sides?
Complete the given table for prisms:
| Prism | Number Of faces | Number Of edges | Number Of vertices |
|---|---|---|---|
| Triangular | — | — | — |
| Quadrilateral | — | — | — |
| Pentagonal | — | — | — |
| Hexagonal | — | — | — |
| Octagonal | — | — | — |
| Decagonal | — | — | — |
All equilateral triangle are isosceles, but all isosceles triangle are not equilateral. Justify the statement.
What is the angle name for half a revolution?
Verify the ‘Euler’s formula’ V + F = E + 2 for the given figures.
(a) A triangular prism having 5 faces, 9 edges and 6 vertices.
(b) A rectangular prism with 6 faces, 12 edges and 8 vertices.
(c) A pentagonal prism with 7 faces, 15 edges and 10 vertices.
(d) A tetrahedron -with 4 faces, 6 edges and 4 vertices.
How many faces a tetrahedron have?
Measure the angles given below, using the Protractor and write down the measure.
Draw a hexagon and write its sides and diagonals?