Practice Cyclic Quadrilaterals (9.5) - Circles

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is a cyclic quadrilateral?
Show hintHide hint
Think about the location of its vertices.
Question 2.
If $\angle A = 90°$ and $\angle C = 90°$ , is ABCD cyclic?
Show hintHide hint
Look at the sum of the angles.
3Question 3.
What is a cyclic quadrilateral?
- A quadrilateral with no angles
- A quadrilateral whose vertices lie on a single line
- A quadrilateral whose vertices lie on a circle
Show hintHide hint
Consider where the vertices are located.
4Question 4.
True or False: In a cyclic quadrilateral, the sum of opposite angles equals 180°.
- True
- False
Show hintHide hint
Reflect on your learning about angles.
Question 5.
Show that if a quadrilateral has one angle measuring 90°, and two opposite angles sum to 180°, is it cyclic? Prove your answer.
Show hintHide hint
Look back on theorem implications.
Question 6.
Given a cyclic quadrilateral with angles A, B, C, and D where $\angle A + \angle C = 180°$ and $\angle B + \angle D = 180°$ , design a geometric figure showing these properties.
Show hintHide hint
Use known angles to guide your figure.

4 more questions in this section. Enroll free to practise them all.