Polygons

Q. 2. The sum of all the angles except one of a convex polygon is 2190 degree, then the no. of the sides of the polygon is : A) 19 B) 17 C) 15 D) 13

Q.

Q.

How much is an angle of a 36-sided regular polygon?

Q.

In the figure below, ABCDEF is a regular hexagon.

Prove that ABCDE is a rectangle.

Q.

If I draw a quadrilateral and then draw all its diagonals. How many triangles will I find?

1. 3

2. 2

3. 1

4. 8

Q. Write the converse of the conditional statement "If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other".
[2 Marks]
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Q. What is a regular polygon? State the name of a regular polygon of:

i. $3$ sides

Q. ABCD is a quadrilateral in which AD =BC andZDAB ZCBA (see Fig. 7.17). Prove that2.(i) A ABD ABAC(ii) BD ACZABD=ZBAC

Q. Match the location of the orthocentre of the following triangles with respect to the triangles.

1. 
2. 
3. 
4. Outside
5. Inside
6. On the triangle

Q. Question 2
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:

A) An isosceles triangle
B) An obtuse triangle
C) An equilateral triangle
​​​​​​​D) ​​​​​​​A right triangle

Q. A circle divides the plane on which it lies into three parts.

Q.

In the given isosceles triangle ABC, AB = AC, $\angle ABC$ = 70°. Find $\angle$ BAC.

1. ${50}^{\circ }$

2. ${40}^{\circ }$

3. ${60}^{\circ }$

4. ${45}^{\circ }$

Q.

One angle of a regular polygon is 144°. How many sides does it have?

Q.
$\Delta ABC$ is which type of a triangle?

1. Equilateral Triangle
2. Isosceles Triangle
3. Scalene Triangle
4. Right-angled Traingle

Q. Each of the base angle of an isosceles triangle is twice the vertical angle then the vertical angle is

1. ${35}^{\circ }$
2. ${36}^{\circ }$
3. ${37}^{\circ }$
4. ${38}^{\circ }$

Q. Complete the following, so as to make a true statement :

$iii)$ A quadrilateral has ,
no three of which are .

Q.

A circle is made up of __ triangles.

Q. A circle divides a plane in which it lies including itself in______parts

1. 2
2. 3
3. 4
4. 5

Q. ABCD is a quadrilateral, where AC and BD intersect at O such that OB=OD.If AB=CD, then show that-(i)ar.(DOC)=ar.(AOB);(ii)ar.(DCB)=ar.(ACB); ABCD is a paralle\log ram

Q. The line "Enter a Roman and a Volsce" may be described as ______.

1. an aside
2. soliloquy
3. stage directions
4. authorial instructions

Q.

Can you draw a regular polygon with each of its angles equal to 47°?