T10 Circles p1: Arcs, Chords, Inscribed angles, Tangents, etc.

What is an Inscribed angle?

• An angle formed by 2 chords and its vertex lies on the circle.

• An angle formed by two radii whose vertex is the center of the circle.

• An angle that measures 90 degrees
• An angle that intersects the circle at a tangent

Tags

CCSS.HSG.C.A.2

What type of triangle is formed by two radii and a chord?

• Isosceles

• Equilateral

• Scalene

• Right

Tags

CCSS.2.G.A.1

If a radius is drawn to a point of tangency, what angle is formed between the radius and the tangent?

• 45 degrees

• 90 degrees

• 30 degrees

• 60 degrees

Tags

CCSS.HSG.SRT.C.8

If a quadrilateral is inscribed in a circle, then opposite angles are _____.

• Complementary
• Equal
• Supplementary
• Adjacent

What is the measure of an angle formed by two chords?

• Half the sum of the measures of the intercepted arcs
• Equal to the measure of the smaller intercepted arc
• Equal to the measure of the larger intercepted arc
• Twice the sum of the measures of the intercepted arcs

Tags

CCSS.HSG.C.A.2

What is the measure of the angle formed outside the circle by two tangents, two secants, or a secant and a tangent?

• Depends on the specific configuration of the lines
• Equal to the sum of the angles of a triangle
• Half the difference of the intercepted arcs.

• Always 90 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of arc PQR?

• 270 degrees

• 180 degrees
• 150 degrees
• 90 degrees

Tags

CCSS.HSG.C.B.5

What is the measure of arc IJ?

• 90 degrees
• 100 degrees

• 180 degrees
• 270 degrees

Tags

CCSS.HSG.C.B.5

What is the exact length of arc PQ?

• π units

• 2π units

• 3π units

• 4π units

Tags

CCSS.HSG.C.B.5

What is the area of the shaded sector?

• 54 π square units

• 135 π square units

• 189 π square units

• 324 π square units

Tags

CCSS.HSG.C.B.5