Polygons

Q. How many diagonal are there in a octagon and decagon

Q.

If each exterior angle of a regular polygon measures ${36}^{\circ }$, then it has ___ sides.

1. 10

2. 11

3. 12

4. 9

Q. Find the sum of an interior angles of a polygon with:
$13$ sides

Q.

What do we call a polygon that has 7 sides?

1. Decagon

2. Octagon

3. Heptagon

4. Hexagon

Q. Two polygons of the same number of sides are similar, if their corresponding angles are (a) ___ and their corresponding sides are (b) ___ .

Q.

Find the sum of interior angles of a polygon with $12$ sides in degrees.

1. ${1800}^{\circ }$
2. ${1200}^{\circ }$
3. ${1500}^{\circ }$
4. ${1400}^{\circ }$

Q.

There is a football field. Its 4 corner flags are kept in position. A corner flag is shown in image. Is the quadrilateral representing the field defined? Why?

Q.

Can a shape have both parallel and perpendicular lines?

Q.

Question 2 (i)
Find the value of the unknown interior angle x in the following figures.

Q. How many interior angles does a triangle have?

1. 4
2. 1
3. 2
4. 3

Q.

Find the angle x in the given figure.
[3 MARKS]

Q.

If two sides of a triangle are equal , then it has _____ equal angles.

1. two

2. one

3. Three

4. zero

Q.

Question 2 (v)
Find the value of the unknown interior angle x in the following figures.

Q.

Pavan says letter D is a polygon. Is he correct?

1. False

2. True

Q.

In the figure, AB = AC and AD || BC, find the respective measures of x, y and z.

1. $x={70}^{\circ },y={70}^{\circ },z={55}^{\circ }$

2. $x={70}^{\circ },y={55}^{\circ },z={55}^{\circ }$

3. $x={55}^{\circ },y={55}^{\circ },z={55}^{\circ }$

4. $x={70}^{\circ },y={55}^{\circ },z={70}^{\circ }$

Q.

A polygon comes under which of the following categories?

1. Plane figure

2. Simple Closed Curve

3. Curve not closed

4. 3D representation

Q.

Two alternate sides of a regular polygon, when produced, meet at the right angle. What is the number of sides in the polygon?

1. $6$

2. $8$

3. $10$

4. $20$

Q. A polygon is said to be a concave polygon if

1. atleast one angle is greater than 90°
2. atleast one angle is greater than 180°
3. each angle is greater than 90°
4. atleast one angle is less than 360°

Q.

Paper is not a model for a plane surface because it has 3 dimensions.

1. True

2. False

Q.

Letter B is a polygon.

1. True

2. False

Q.

What is a polygon?

Q. In ΔPQR, Q is a right angle, the lengths of PQ and PR are 8 cm and 17 cm, respectively. The length of QR is cm.

1. 13 cm
2. 14 cm
3. 15 cm
4. 16 cm

Q.

Draw any polygon and shade its interior.

Q.

Identify the shape having perpendicular lines.

.

Q. Tick (✓) the correct answer:
How many diagonals are there in a polygon having 12 sides?
(a) 12
(b) 24
(c) 36
(d) 54

Q.

$\Delta$ABC is a right angled triangle. Find the length of AC. Given that BC = 3 units; AB = 4 units.

1. 4 units

2. 5 units

3. 11 units

4. 7 units

Q.

Which of the following is not a polygon?

1. Triangle

2. Quadrilateral

3. Pentagon

4. None of these

Q.

Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that ∠XOA + ∠XOB = 2∠XOC.

Q.

How many interior angles does the following figure have?

1. 10

2. 7

3. 5

4. 6

Q.

Fill in the blanks.

(1) A quadrilateral is a sided polygon.