Understanding Quadrilaterals — Chapter Test | Class 8 IMO

Q1

The exterior angles of any polygon sum to ___ ?

Exterior angles always total 360°.

Q2

A polygon with 5 sides is a ___ ?

5 sides make a pentagon.

Q3

The interior angle sum is (n − 2) × ___ ?

Interior angle sum = (n − 2) × 180°.

Q4

Which is the odd one out (three are quadrilaterals)?

A triangle has 3 sides; the others are quadrilaterals.

Q5

What is the interior angle sum of a quadrilateral?

(4 − 2) × 180 = 360°.

Q6

What is the interior angle sum of a pentagon?

(5 − 2) × 180 = 540°.

Q7

What is the interior angle sum of a hexagon?

(6 − 2) × 180 = 720°.

Q8

Each exterior angle of a regular hexagon is ___ ?

360 ÷ 6 = 60°.

Q9

Each interior angle of a regular hexagon is ___ ?

720 ÷ 6 = 120°.

Q10

Three angles of a quadrilateral are 90°, 90° and 90°. The fourth is ___ ?

360 − 270 = 90°.

Q11

A stop sign is a regular octagon. Its interior angle sum is ___ ?

(8 − 2) × 180 = 1080°.

Q12

The diagonals of a rectangle are ___ ?

A rectangle has equal diagonals.

Q13

Each interior angle of a regular pentagon is ___ ?

540 ÷ 5 = 108°.

Q14

The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The largest is ___ ?

Parts = 10; 360 ÷ 10 = 36, so the largest is 4 × 36 = 144°.