Inscribing Polygons in Circles Quiz

What is the term for a circle that contains all the vertices of an inscribed polygon?

• Concentric Circle

• Tangent Circle

• Circumscribed Circle

• Inscribed Circle

When a right triangle is inscribed in a circle, what must be true about its hypotenuse?

• It must be a diameter of the circle.

• It must be equal to the circle's circumference.

• It must be a tangent to the circle.

• It must be parallel to the circle's radius.

If a triangle is inscribed in a circle and one of its sides is a diameter, what type of triangle is it?

• Equilateral Triangle

• Isosceles Triangle

• Right Triangle

• Scalene Triangle

What condition must be met for a quadrilateral to be inscribed in a circle?

• All angles must be right angles.

• All sides must be equal.

• The quadrilateral must be a rectangle.

• Opposite angles must be supplementary.

In an inscribed quadrilateral, if one pair of opposite angles adds up to 180 degrees, what can be said about the other pair?

• They must also add up to 180 degrees.

• They must be equal.

• They must be complementary.

• They must be less than 90 degrees each.

If angle H in an inscribed quadrilateral is 80 degrees, what is the measure of its opposite angle J?

• 80 degrees

• 100 degrees

• 180 degrees

• 90 degrees

In an inscribed quadrilateral, if angle K is 75 degrees, what is the measure of its opposite angle I?

• 75 degrees

• 105 degrees

• 90 degrees

• 180 degrees

If 2a + 2a equals 180 degrees in an inscribed quadrilateral, what is the value of a?

• 90

• 60

• 45

• 30

In an inscribed quadrilateral, if 4b + 2b equals 180 degrees, what is the value of b?

• 35

• 30

• 25

• 20

What is the sum of opposite angles in an inscribed quadrilateral?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees