Circle Theorems

The angle in a semi-circle is (a)  

Tags

CCSS.HSG.C.A.2

The angle at the centre (y) is _______ the angle (x) at the circumference.

• twice

• half

• equal to

• 90 degrees

Tags

CCSS.HSG.C.A.2

The angle between a radius and a tangent is _____________

• 180 degrees

• 90 degrees

• Twice the angle at the centre

• obtuse

Tags

CCSS.HSG.SRT.C.8

The tangents to a circle from the same point will be

• equal length

• parallel

• perpendicular

• different lengths

Tags

CCSS.HSG.C.A.2

The angles in the same segment from a common chord are:

• equal

• 30 degrees

• add up to 90 degrees

Tags

CCSS.HSG.C.A.2

The opposite angles in a cyclic quadrilateral

• are equal

• add up to 180 degrees

• add up to 360 degrees

• are 90 degrees

Tags

CCSS.2.G.A.1

Which other angle in the diagram is 75 degrees?

• A

• B

• C

• D

Tags

CCSS.HSG.C.A.2

The radius through the midpoint of a chord bisects it at

• 180 degrees

• a third

• 90 degrees

• twice the angle at the circumference.

What is the value of x and y?

• x=75°; y=93°

• x=65°;y=104°

• x=75°; y=94°

• x=65°; y=93

Tags

CCSS.HSG.C.A.2

What is the size of angle x?

• 19^o
• 76^o
• 39^o
• 38^o

Tags

CCSS.HSG.C.A.2