Before your quiz, take some time to review the concepts in the questions below. If you get a question wrong, make sure to review the lesson before taking the quiz.
1. When inscribing a triangle inside a circle, what is 360 divided by in order to find the angle between adjacent vertices?
- 2
- 3
- 4
- 5
You would divide 360 by 3 since there are 3 vertices in a triangle.
You would divide 360 by 3 since there are 3 vertices in a triangle.
You would divide 360 by 3 since there are 3 vertices in a triangle.
You would divide 360 by 3 since there are 3 vertices in a triangle.
2. What kind of polygon can always be inscribed in a circle?
- obtuse
- scalene
- regular
- right
All regular polygons can be inscribed in a circle.
All regular polygons can be inscribed in a circle.
All regular polygons can be inscribed in a circle.
All regular polygons can be inscribed in a circle.
3. When using the alternate way to construct a square inscribed in a circle, what must you do after you draw the diameter?
- draw the perpendicular bisector of the diameter
- draw a parallel line to the diameter
- draw the chord of the circle
- draw a tangent to the circle
You must draw the perpendicular bisector of the diameter so that you create four vertices of the square on the circle.
You must draw the perpendicular bisector of the diameter so that you create four vertices of the square on the circle.
You must draw the perpendicular bisector of the diameter so that you create four vertices of the square on the circle.
You must draw the perpendicular bisector of the diameter so that you create four vertices of the square on the circle.
4. Quadrilateral ABCD is inscribed in a circle. Angle B has a measure of 105°. What is the measure of angle D?
- 105°
- 100°
- 95°
- 75°
Angles B and D are opposite angles; therefore, they are supplementary. Angle D = 180 – 105 = 75°
Angles B and D are opposite angles; therefore, they are supplementary. Angle D = 180 – 105 = 75°
Angles B and D are opposite angles; therefore, they are supplementary. Angle D = 180 – 105 = 75°
Angles B and D are opposite angles; therefore, they are supplementary. Angle D = 180 – 105 = 75°
5. Quadrilateral ABCD is incribed in a circle. Angle A has a measure of (4x – 12)° and angle C has a measure of 50°. Find x.
- 16
- 35.5
- 45
- 45.5
You can write and solve the following equation:
4x – 12 + 50 = 180
4x + 38 = 180
4x = 142
x = 35.5
You can write and solve the following equation:
4x – 12 + 50 = 180
4x + 38 = 180
4x = 142
x = 35.5
You can write and solve the following equation:
4x – 12 + 50 = 180
4x + 38 = 180
4x = 142
x = 35.5
You can write and solve the following equation:
4x – 12 + 50 = 180
4x + 38 = 180
4x = 142
x = 35.5
6. Quadrilateral ABCD is incribed in a circle. Which of the following is an equation that can be written about the angles of quadrilateral ABCD?
- m∠A+m∠C=360°
- m∠A+m∠B=180°
- m∠A+m∠D=180°
- m∠A+m∠C=180°
Since opposite angles are supplementary, the only equation that is correct is the following: m∠A+m∠C=180°
Since opposite angles are supplementary, the only equation that is correct is the following: m∠A+m∠C=180°
Since opposite angles are supplementary, the only equation that is correct is the following: m∠A+m∠C=180°
Since opposite angles are supplementary, the only equation that is correct is the following: m∠A+m∠C=180°
Summary
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