6-6 HG Live Review

Chapter 6 Review

6-1 through 6-5

Fill in the Blanks

Q1: What is the measure of each interior angle of a regular 20-gon?

Interior Angle Sum Theorem:

 $s=180\left(n-2\right)$  

•  $s=3240\degree$  

• divide by n.

• Each angle =  $162\degree$  

Fill in the Blanks

Q2:  If the interior angle of a regular polygon measures

 $108\degree$  , how many sides does the polygon have?

Exterior Angle Sum Theorem

• Linear Pair Theorem: Exterior Angles = $72\degree$  

  
  

•  $\frac{360}{72}=\ 5\ sides$  

Multiple Choice

Q3: What is the name of this polygon?

• Pentagon

• Hexagon

• Heptagon

• Octagon

Fill in the Blanks

Q4: The figure is a regular polygon, find the value of x.

Interior Angle Sum =

 $540\degree$  

• Divide by the number of sides

•  $9x-18=108$  

• OR...

•  $5\left(9x-18\right)=540$  

• x = 14

Fill in the Blanks

Q5:  If $m\angle ABC=115\degree$   , find  $m\angle ADB$ . 

 $m\angle ABC=115\degree$  , find $m\angle ADB$  

• Alternate Interior Angles + Angle Addition: $6x-11+4x+6=115$  

• x = 12

•  $m\angle ADB=61\degree$  

Multiple Choice

Q6: Is there enough information to determine that this quadrilateral is a parallelogram?

• yes, opposite sides are congruent

• yes, opposite sides are parallel

• no, not all pairs of opposite sides are congruent

• no, not all pairs of opposite sides are parallel

Multiple Choice

Q7: State which method we can use to show that the quadrilateral is a parallelogram.

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• Both pairs of diagonals bisect each other.

• Both pairs of opposite sides are parallel.

Fill in the Blanks

Q8:  Find $m\angle XZW$ . 

Def. Rectangle + Acute Angles Complementary

•  $5x-8+x+20=90$  

• x = 13

• Def. Complementary:   $m\angle XZW=57\degree$  

Fill in the Blanks

Q9:  If  $m\angle XYZ=136\degree$ , solve for x. 

 $m\angle XYZ=136\degree$  

• Consecutive Angles Supplementary:

•  $m\angle YZW=44\degree$  

• Angle Bisecting Diagonals:

•  $10x-8=22$  

• x = 3

Now you are ready for 6-6 Trapezoids!

• You will watch the videos before starting the Quizizz.

• You will attach photos of your notes to the assignment

• Then do the Quizizz.

• Remember to turn in, or mark as done!