HG 6-5 Live Review

HG 6-5 Live Review

Have your Chapter 6 Notes ready.

Angles in Polygons

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Q1: What is the measure of each interior angle of a regular heptagon?

Interior Angle Sum Theorem

•  $s=180\left(n-2\right)$  

• s = sum, n = number of sides

• Heptagon = 7 sided polygon

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Q2: What is the sum of the exterior angles in a dodecagon?

Exterior Angle Sum Theorem

•  $360\degree$  

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Q3: An interior angle of a regular polygon measures

 $170\degree$  .  How many sides does it have?

Exterior Angle Sum Theorem

• Linear Pair Theorem:

   $Ext.\ \angle\ =\ 10\degree$  

•  $\frac{360}{10}$  

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Q4:  If the sum of the measures of the interior angles of a polygon is

 $1980\degree$ , how many sides does the polygon have?

Interior Angle Sum Theorem

•  $1980\ =\ 180\left(n-2\right)$  

• Solve for n.

Parallelograms

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Q5:  Find

 $m\angle R$  .

Parallelogram has Consecutive Angles that are Supplementary.

•  $8x-12+3x+5=180$  

• Solve for x.

• Substitute to find $m\angle Q$ or  $m\angle P$  .

• Then find $m\angle R$  .

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Q6:   $m\angle KLH=134\degree$  .

Solve for x.

 $m\angle KLH=134\degree$  

•  $4x+9+25+134=180$  

• Consecutive Angles are Supplementary +

• Alternate Interior Angles are Congruent +

• Angle Addition Postulate

•  $x=3$  

Multiple Choice

Q7:  What method would you use to determine whether the quadrilateral is a parallelogram with the theorem:

If a quadrilateral has both pair of sides congruent, then it is a parallelogram.



 $A\left(-7,\ 4\right),\ B\left(1,\ 2\right),\ C\left(9,\ -8\right),\ D\left(1,\ -6\right)$  

• slope formula

• distance formula

• midpoint formula

• slope & distance formulas

Rectangles

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Q8: Find PN.

 $2\left(10x+2\right)=15x+19$  

• Rectangles have $\cong$  Bisecting Diagonals

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Q9: Find

 $m\angle DHG$  

Alternate Interior Angles

 $14x-27=9x+3$  

•  $m\angle EDH\ =\ 57\degree$  

• Isosceles Triangle Theorem +

• Triangle Sum Theorem

•  $m\angle EHD=66\degree$  

• Linear Pair Theorem

Now you are ready to learn about some other special parallelograms:

• Rhombus = 4 $\cong$ sides

• Square = 4  $\cong$  sides & 4 right angles