ATLAS Circle Practice 2025

Which is the best definition of a circle?

• the set of all points between two semicircles

• the set of all angles between 0 and 360 degrees

• the set of all points equidistant from another point

• the set of all points equidistant from two other points

• AO = AB

• m∠B = 90°

• AB + BC = AC

• m∠A + m∠B + m∠C = 360°

Quadrilateral QRST is inscribed in circle F, as shown.

The measure of is m∠QTS = 87°. What is m∠QRS?

Line RT is tangent to circle F at point L, as shown. What is the measure of ∠FLR?

Quadrilateral ABCD is inscribed in a circle, with diagonals AC and BD as shown. Which angle is congruent to ∠ADB?

NOT Drawn to scale.

• ∠ABD

• ∠ACB

• ∠BDC

• ∠DBC

Circle O is shown. Points P and R are on the circle. Line segments QP and QR are tangent to the circle at points P and R. The measure of arc PR is 130°. What is the measure, in degrees, of angle PQR?

• 40°

• 50°

• 65°

• 130°

Circle C is shown with diameters BE and AD. The measure of angle BAC is 35°. What is the measure, in degrees, of arc DE?

Which triangle circumscribes the circle?

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Circle R is shown. Segment TV and segment TS are tangent to the circle. The measure of arc VS is 110°. What is the measure, in degrees, of angle ∠STV?

• 55°

• 70°

• 110°

• 125°

Which triangle is inscribed in a circle?

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