Quadrilateral Theorem

Find the values of x and y in each of these circles where O is the centre.

• x = 50°​

  y = 45°

• x = 45°​

  y = 48°

• x = 48°​

  y = 40°

• x = 48°​

  y = 45°

Find the angles of x and y in each of these circles where O is the centre

• x = 80°​

  y = 100°

• x = 70°​

  y = 20°

• x = 32°​

  y = 48°

• x = 92°​

  y = 88°

Find the angles of x and y in each of these circles where O is the centre

• x = 50°​

  y = 62°

• x = 80°​

  y = 100°

• x = 100°​

  y = 80°

• x = 70°​

  y = 20°

Find the sizes of the lettered angles in each of these circles

• a = 50, b = 95

• a = 85, b = 130

• a = 95, b = 50

• a = 130, b = 85

Using information in the picture and what you know about angles in parallelograms, solve the equation for x.

• 1

• 10

• 9

• 6

• 1
• 10
• 9
• 6

Find the sizes of the lettered angles in each of these circles

• g = 105, h = 99

• g = 81, h = 105

• g = 99, h = 105

• g = 105, h = 81

Find the values of x and y in each of these circles where O is the centre.

• x=26, y=128

• x=128, y=26

• x=64, y=26

• x=128, y=114

Find the values of x and y in each of these circles where O is the centre.

• x=54, y=30

• x=48, y=30

• x=48, y=78

• x=78, y=48

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem