Grade 10 · Math · Geometry

10th grade Inscribed angles and inscribed quadrilaterals worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Inscribed angles and inscribed quadrilaterals

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Bo stands at the edge of a round pizza table. Points C, D and F lie on circle O, and arc CF = 84°. What is ∠CDF, in degrees?
Jun draws two lines from the 6 on a clock face. Points C, D and F lie on circle O, and arc CF = 58°. What is ∠CDF, in degrees?
Kira places three candles on the edge of a round cake. Points C, D and F lie on circle O, and arc CF = 150°. What is ∠CDF, in degrees?
Milo draws a triangle on a plate with one side across the middle. CF is a diameter of circle O, D is on the circle, and ∠DCF = 63°. What is ∠DFC, in degrees?
Noah draws a triangle on a clock face with one side through the center. CF is a diameter of circle O, D is on the circle, and ∠DCF = 25°. What is ∠DFC, in degrees?
Pia paints a triangle on a drum top with one side through the center. CF is a diameter of circle O, D is on the circle, and ∠DCF = 47°. What is ∠DFC, in degrees?
Ren designs a four-sided window that fits in a round frame. Quadrilateral CDFG is inscribed in circle O, and ∠C = 76°. What is ∠F, in degrees?
Tala joins four points on a clock face. Quadrilateral CDFG is inscribed in circle O, and ∠C = 119°. What is ∠F, in degrees?
Zee pipes a four-sided shape with corners on a cookie's edge. Quadrilateral CDFG is inscribed in circle O, and ∠C = 98°. What is ∠F, in degrees?
Ari sews a four-sided patch with its corners on a round rug's edge. Quadrilateral CDFG is inscribed in circle O, and ∠C = 61°. What is ∠F, in degrees?

Inscribed angles and inscribed quadrilaterals. Every version has 10 questions, and the answer key prints on the second page.

Standard: G-C.A.2, G-C.A.3

inscribed angle: An angle with its corner on the circle and its sides as chords.

intercepted arc: The arc that lies between the angle's two sides.

inscribed quadrilateral: A four-sided shape with all four corners on the circle.

opposite angles: Two corners of a quadrilateral that are not next to each other.

diameter: A chord through the center; it cuts the circle into two 180° halves.

Your child treated an angle on the circle like an angle at the center.

Your child doubled the arc instead of halving it.

Your child forgot that an angle in a semicircle is a right angle.

Ask: is the corner of this angle at the center or on the circle?

Ask: is an angle on the circle bigger or smaller than its arc?

Ask: CF is a diameter; what is the angle at D?

What is the most common mistake with inscribed angles and inscribed quadrilaterals?

Your child treated an angle on the circle like an angle at the center.

How can I help my child with inscribed angles and inscribed quadrilaterals?

Ask: is the corner of this angle at the center or on the circle?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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