6-3 Parallelogram Review

Parallelogram Review

Use your 6-2 and 6-3 Notes to help you.

Multiple Choice

Q1: Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

Properties of Parallelograms:

• Definition: Opposite Sides are Parallel

• Opposite Sides are Congruent

• Opposite Angles are Congruent

• Consecutive Angles are Supplementary

• Diagonals Bisect Each Other

Multiple Choice

Q2:

• 106

• 9

• 74

• 83

Correct Answer:

 $106\degree$  

• Opposite Angles $\cong$  :   $9x-7=13x-43$  

•  $m\angle S=74\degree$  

• Consecutive Angles Supplementary:   $m\angle T=106\degree$  

Multiple Choice

Q3:

• 46

• 23

• 10

• 32

Correct Answer: 46

• Bisecting Diagonals:  $2x+3=4x-17$  

  
  

•  $SV=23$  

•  $SU=46$  

Multiple Choice

Q4:

• 27

• 61

• 31

• 24

Correct Answer: 27

• Consecutive Angles Supplementary

•  $4x+11+3x-20=180$  

•  $x=27$  

Multiple Choice

Q5: Is the quadrilateral a parallelogram?

• Yes; one pair of opposite sides are parallel

• Yes; one pair of opposite sides are congruent

• Yes; opposite sides are parallel and congruent

• No; only one pair of sides are parallel

• No; only one pair of sides are congruent

Multiple Choice

Q6: Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

• Yes, Opposite sides parallel

• Yes, Opposite angles congruent

• Yes, Opposite sides congruent and parallel

• No, Not enough info

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.

Proving a Quadrilateral is a Parallelogram

• Definition: Opposite Sides Parallel

• If Opposite Sides are Congruent, then Parallelogram

• If Opposite Angles are Congruent, then Parallelogram

• If One Pair of Opposite Sides are Congruent & Parallel, then Parallelogram

• If Diagonals Bisect Each Other, then Parallelogram

Multiple Choice

Q8: Find the slope given the points (2, −7) and (−1, 6).

• -13/3

• 13/3

• 0

• 2/3

Multiple Choice

Q9: Find the slope given the points (3,2) and (4,7).

• 4

• 5

• -5

• 1/5

Multiple Choice

Q10: Find the distance between the points: (-3, -4) and (5, 5)

• 11.8

• 14.4

• 12

• 19

Are you ready for 6-3B?

Ready or not, here we go!