Question
If ABCDE is a regular pentagon, what is the length of side CD of the pentagon?
- 9 cm
- 8 cm
- 11 cm
- 4 cm
Hint:
A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.
The correct answer is: 4 cm
regular polygon : polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length) , regular polygon
So, CD = AB = 4 cm.
Related Questions to study
Find the measure of each angle of a regular hexagon.
Find the measure of each angle of a regular hexagon.
What is the value of x?
What is the value of x?
is a ____________.
is a ____________.
The measure of _________.
The measure of _________.
Find the value of x.
Find the value of x.
What is the sum of interior angles of a triangle?
the sum of interior angles of a triangle =
the sum of exterior angles of a triangle =
What is the sum of interior angles of a triangle?
the sum of interior angles of a triangle =
the sum of exterior angles of a triangle =
____________.
The alternate angle theorem states that when two parallel lines ( AB and CD) are cut by a transversal (here DB ), then the resulting alternate interior angles or alternate exterior angles are equal
____________.
The alternate angle theorem states that when two parallel lines ( AB and CD) are cut by a transversal (here DB ), then the resulting alternate interior angles or alternate exterior angles are equal
The value of k is _____.
we can also conclude that PR = QS by simply observing the symmetry of the figure. However, mathematical reasoning should also be acknowledged. In a parallelogram, opposite angles and sides are equal
The value of k is _____.
we can also conclude that PR = QS by simply observing the symmetry of the figure. However, mathematical reasoning should also be acknowledged. In a parallelogram, opposite angles and sides are equal
Find the value of x.
In a parallelogram, opposite angles and sides are equal . in this case, angles B= D and A = C.
Find the value of x.
In a parallelogram, opposite angles and sides are equal . in this case, angles B= D and A = C.
____________.
The <USR = 110 degree.
<TUS=180 – 110 = 70 degree
<RSQ = <TUS = 70 degree ( corresponding angles)
____________.
The <USR = 110 degree.
<TUS=180 – 110 = 70 degree
<RSQ = <TUS = 70 degree ( corresponding angles)
What is the measure of angle Y of the given parallelogram?
Given polygon is a parallelogram. We know that sum of adjacent angles in a parallelogram = 180. We can also find <ZWX using the same property, which is opposite to angle Y and will have the same value, i.e. 101 degrees.
What is the measure of angle Y of the given parallelogram?
Given polygon is a parallelogram. We know that sum of adjacent angles in a parallelogram = 180. We can also find <ZWX using the same property, which is opposite to angle Y and will have the same value, i.e. 101 degrees.
What is the perimeter of the given parallelogram
We can also directly find out the perimeter by using the property , insteadof finding the alues of AD and AB.
perimeter = 2 x ( BC + CD)
this is possible due to the fact that opposte sides are equal in a paarallelogram.
What is the perimeter of the given parallelogram
We can also directly find out the perimeter by using the property , insteadof finding the alues of AD and AB.
perimeter = 2 x ( BC + CD)
this is possible due to the fact that opposte sides are equal in a paarallelogram.
Find the measure of AD.
Given polygon is a parallelogram.
In a parallelogram, opposite angles and sides are equal . therefore, AB= CD and AD = BC
Find the measure of AD.
Given polygon is a parallelogram.
In a parallelogram, opposite angles and sides are equal . therefore, AB= CD and AD = BC
Find the length of WO.
Bisection means dividing into 2 equal parts in 1: 1 ratio. Given polygon is a parallelogram. we know that the diagonals of a parallelogram bisect each other
Find the length of WO.
Bisection means dividing into 2 equal parts in 1: 1 ratio. Given polygon is a parallelogram. we know that the diagonals of a parallelogram bisect each other
What is the measure of each angle of the given polygon?
all angles in a regular polygon are equal. a regular polygon is a polygon in which all sides are equal.
interior angle of a polygon = sum of interior angles ÷ number of sides
What is the measure of each angle of the given polygon?
all angles in a regular polygon are equal. a regular polygon is a polygon in which all sides are equal.
interior angle of a polygon = sum of interior angles ÷ number of sides