Geometry Help

3/8/2021 MyOpenMath

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Topic E1 Polygons and Parallelograms Joseph Sigmon

Question 1 1/1 pt 99

Question 2 1/1 pt 99

Choose the correct words to fill in the blanks below.

convex polygon pentagon vertex hexagon octagon regular

1. A polygon such that no line containing a side of a polygon contains a point in the interior of the

polygon is referred to as convex .

2. A five sided polygon is a(n) pentagon .

3. A six sided polygon is a(n) hexagon .

4. An eight sided polygon is a(n) octagon .

5. A polygon is formed by three or more segments called sides, such that no

two sides with a common endpoint are collinear.

6. A polygon that is equiangular and equilateral is considered regular .

7. Each endpoint of a side of a polygon is a(n) vertex .

8. Find the formulas for the following (using as the number of sides):         a. Finding the measure of each interior angle of a regular polygon:

n

n − 2 180  

        b. Finding the number of diagonals in a regular polygon: 2

n n − 3  

        c. Finding the sum of the interior angles of a polygon: n − 2 180  

n

( )

( )

( )

Given the following non-regular quadrilateral find the measure of the unknown angle.

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Question 3 1/1 pt 99

Question 4 1/1 pt 99

Question 5 1/1 pt 99

69 degrees

99 ∘

134 ∘

58 ∘ x

∘

x =

Given the following non-regular quadrilateral find the measure of the unknown angle.

12

The unknown angle is 57 degrees.

98 ∘

149 ∘

56 ∘ (5x − 3)

∘

x =

Given the following non-regular pentagon find the measure of the unknown angle.

58 degrees

127 ∘

67 ∘

152 ∘

x ∘ 136

∘

x =

Given the following non-regular pentagon find the measure of the unknown angle.

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Question 6 1/1 pt 99

Question 7 0/1 pt 5 99

Question 8 0/1 pt 5 99

13

The unknown angle is 46 degrees.

146 ∘

66 ∘

(3y + 7) ∘

137 ∘ 145 ∘

y =

Find the sum of the exterior angles of a 20-gon.

The sum of exterior angles is 360 degrees.

The figure below is a parallelogram, find `x`.

`x=`

`(9 x+9)^@`

`(14 x-16)^@`

The figure below is a parallelogram, find `b`.

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Question 9 0/1 pt 5 99

Question 10 0/1 pt 5 99

Note: Solving a quadratic equation will result in two possible answers. Always make sure the value of `b` produces positive lengths.

`b=`

`(b^2+5b)^@`

`(6b+20)^@`

The figure below is a parallelogram, find `b`.

`b=`

`(6b+8)^@`

`(11b+19)^@`

The figure below is a parallelogram, find `x` and `y`.

`4x+2`

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Question 11 0/1 pt 5 99

Question 12 0/1 pt 5 99

`x=`

`y=`

4x+2

`2x+6`

`5y-4`

`4y+1`

The figure below is a parallelogram, find `x` and `y`.

`x=`

`y=`

`x`

`9`

`y` `5`

The figure below is a parallelogram, find `x` and `y`.

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Question 13 1/1 pt 99

Question 14 0/1 pt 5 99

`x=`

`y=`

`4x-4`

`2x+4`

`5y-3` `4y`

The figure below is a parallelogram, find `x` and `y`.

`x=` 8

`y=` 6

`x`

`8`

`6` `y`

The figure below is a parallelogram, find `x` and `y`.

3/8/2021 MyOpenMath

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`x=`

`y=`

`5x+1`

`2y+5`

`3y+1` `4x+2`