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Which of the following line-segments is longer?

Find the value of x from the given figure and hence find the measure of each angle of the triangle.

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
What is the angle name for half a revolution?
Classify the given triangles whose sides are indicated on them.

In the given figure, find the measure of the angles marked with a, b, c, d, e and f.
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?
Complete the given table for prisms:
| Prism | Number Of faces | Number Of edges | Number Of vertices |
|---|---|---|---|
| Triangular | — | — | — |
| Quadrilateral | — | — | — |
| Pentagonal | — | — | — |
| Hexagonal | — | — | — |
| Octagonal | — | — | — |
| Decagonal | — | — | — |
Measure the angles given below, using the Protractor and write down the measure.

In the given figure, find the values of x, y, z, s and m.

How many line segments are used in making a triangle?

Draw a rough sketch of a regular octagon. Draw a rectangle by joining exactly four of the vertices of the octagon.
Draw a hexagon and write its sides and diagonals?
All equilateral triangle are isosceles, but all isosceles triangle are not equilateral. Justify the statement.
What are the types of the following triangles on the basis of sides?

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?