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Geometry: Polygons and Quadrilaterals

Total questions: 12

Worksheet time: 7mins

Name
Class
Date
1.

What word means: a polygon where all sides and angles are equal?

a)

isosceles

b)

regular

c)

scalene

d)

interior

2.

How do you find the total of all angles inside a polygon?

a)

180-x

b)

(n2) 180n\frac{\left(n-2\right)\ 180}{n}  

c)

360-x

d)

(n-2) 180

3.

How would you...Find the sum of the interior angle measures of a 35-gon?

a)

(35-2) 180

b)

180-35

c)

(352) 18035\frac{\left(35-2\right)\ 180}{35}  

d)

Add up all the angles you don't know

4.

What is the sum of the exterior angle measures of any polygon?

a)

100

b)

180

c)

(n-2) 180

d)

360

5.

If you know that...the interior angle sum of a polygon is 3780°, how would you find the number of sides?

a)

(3780-2) 180)

b)

(n-2) 180 = 3780

c)

(n2) 1803780\frac{\left(n-2\right)\ 180}{3780}  

d)

180-3780

6.

What steps would you take to solve this problem...

Six angles of a heptagon measure 107, 139, 131, 110, 145, and 128 degrees. What's the missing angle?

a)

Subtract the given angles from 360.

b)

Subtract the given angles from 180.

c)

Subtract the given angles from 720.

d)

Subtract the given angles from 900.

7.

Which side has four equal sides, but does not have right angles?

a)

square

b)

rhombus

c)

kite

d)

quadrilateral

8.

The diagonals of a square...

a)

are perpendicular and bisect each other

b)

bisect each other, but are not perpendicular

c)

perpendicular, do not bisect

d)

do not bisect, are not perpendicular

9.

Which angle is supplementary to j? (adds up to 180)

a)

27

b)

104

c)

neither

10.

Q10.

How would you solve the problem...

If EIKT is a kite, KI = 5 and IS = 4, what is KS?

a)

42+524^2+5^2  

b)

180- 525^2  

c)

52425^2-4^2  

d)

52+425^2+4^2  

11.

Which formula helps you find the midsegment of a trapezoid?

a)

(n-2) 180

b)

b1+b22\frac{b_1+b_2}{2}  

c)

(b1+b22)×h\left(\frac{b_1+b_2}{2}\right)\times h  

d)

(b1+b2) 180\left(b_1+b_2\right)\ 180  

12.
Is this a kite?
a)
Yes!
b)
No.