Inscribed Quadrilaterals

What is an inscribed quadrilateral?

• A quadrilateral where all four vertices lie on the circumference of a circle.

• A quadrilateral with all interior angles equal.

• A quadrilateral with one right angle.

• A quadrilateral with all sides equal in length.

If a quadrilateral is inscribed in a circle, what can you say about its opposite angles?

• Opposite angles are equal.

• Opposite angles are supplementary.

• Opposite angles are complementary.

• Opposite angles are congruent.

In an inscribed quadrilateral, what is the sum of opposite angles?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

How can you calculate the measure of an angle in an inscribed quadrilateral?

• Multiply the measure of the known angle by 2.

• Divide 360 degrees by the number of sides in the quadrilateral.

• Subtract the measure of the known angle from 180 degrees.

• Add the measure of the known angle to 180 degrees.

If one angle in an inscribed quadrilateral is 70 degrees, what is the measure of its opposite angle?

• 90 degrees

• 120 degrees

• 80 degrees

• 110 degrees

In an inscribed quadrilateral, if one angle is a right angle (90 degrees), what can you say about the opposite angle?

• The opposite angle is 180 degrees.

• The opposite angle is obtuse.

• The opposite angle is acute.

• The opposite angle is also a right angle (90 degrees).

How can you find the measure of an angle in an inscribed quadrilateral if you know the measure of its opposite angle?

• 90 degrees minus the measure of the opposite angle

• The measure of the opposite angle

• 360 degrees minus the measure of the opposite angle

• 180 degrees minus the measure of the opposite angle

What is the relationship between the angles of an inscribed quadrilateral and the angles of its opposite angles?

• The sum of opposite angles in an inscribed quadrilateral is always 90 degrees.

• The opposite angles in an inscribed quadrilateral are always equal.

• The opposite angles in an inscribed quadrilateral are always supplementary.

• The sum of opposite angles in an inscribed quadrilateral is always 180 degrees.

If the measure of an angle in an inscribed quadrilateral is 120 degrees, what is the measure of its opposite angle?

• 30 degrees

• 60 degrees

• 90 degrees

• 45 degrees

How can you determine if a quadrilateral is inscribed in a circle?

• Check if the sum of opposite angles of the quadrilateral is 180 degrees.

• Check if the sum of all angles is 360 degrees.

• Measure the length of all sides and compare them.

• Verify if the diagonals are perpendicular to each other.