Circle Theorems

Question 1

cards for 4/14. REPEAT AND DRAW EVERYTHING OUT MULTIPLE TIMES

Answer 1

let’s get it

Question 2

If 2 tangents meet at the same place…

Answer 2

They are congruent

Note that this is because there can only be one tangent for each point on the circle.

Question 3

If a diameter bisects a chord…

Answer 3

They’re perpendicular.
Note that the converse is true.

Question 4

If chords are equidistant from the center…

Answer 4

they are congruent

Question 5

A tangent is ____ to the radius.

Answer 5

Perpendicular
MARK THIS ON CIRCLES WHEN LOOKING FOR MISSING ANGLES

Question 6

• What does it mean if a circle is cirmcumscribed?
• What is a cyclic/inscribed quadrilateral?
• what is true about the opposite angles of an inscribed quadrilateral

Answer 6

• It’s around a quadrilateral, and it’s touching all the points
• It has a circle around it that touches all its points
• They are supplementary (add to 180)
  *