Composing and Decomposing Shapes

What is the measure of a central angle that intercepts an arc of 90 degrees?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

How does the measure of an inscribed angle relate to the measure of its intercepted arc?

• It is equal to the measure of the arc.

• It is twice the measure of the arc.

• It is half the measure of the arc.

• It is unrelated to the measure of the arc.

What is the measure of an inscribed angle that intercepts an arc of 90 degrees?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

What conjecture is made about the opposite angles of a cyclic quadrilateral?

• They are equal.

• They are supplementary.

• They are complementary.

• They are unrelated.

What is the exterior angle theorem?

• The exterior angle is equal to the sum of the opposite interior angles.

• The exterior angle is equal to the adjacent interior angle.

• The exterior angle is half the sum of the opposite interior angles.

• The exterior angle is unrelated to the interior angles.

Which of the following is an essential characteristic of a rectangle?

• All sides are equal.

• Opposite sides are equal and parallel.

• All angles are acute.

• Diagonals are perpendicular.

What is a common characteristic of both rectangles and squares?

• All sides are equal.

• All angles are right angles.

• Diagonals are perpendicular.

• Only opposite sides are equal.

Which of the following is a characteristic of a rhombus?

• All sides are equal

• All angles are 90 degrees

• It has one pair of parallel sides

• It has no equal sides

What is a key characteristic of an isosceles trapezoid?

• Two pairs of parallel sides

• One pair of equal non-parallel sides

• All sides are equal

• No parallel sides

Which of the following is a characteristic of a kite?

• Two pairs of adjacent equal sides

• All sides are equal

• All angles are equal

• One pair of parallel sides