ARC MEASURES
ANGLES
TANGENT AND SECANTS
SURPRISE ME
100

Find the measure of arc BC


140 degrees

100

Find angle CDE. 

76 degrees

100

Find the measure of angle V

114 degrees

100

True or False: 

Opposite angles of an inscribed quadrilateral must be congruent. 

False

200

Find the measure of arc DF


129 degrees

200

DOUBLE POINT QUESTION! Given that angle ABC is 27 degrees, find the measure of angle BAD


153 degrees

200

DOUBLE POINT QUESTION! Find the measure of the arc AD and CB

AD = 80 degrees

CB = 30 degrees

200

DOUBLE POINT QUESTION! 

Always, sometimes, never: 

When a line bisects a chord, that line ______ passes through the center of the circle. 

Sometimes

300

Find arc CFD 


306 degrees

300

Find the sum of the measures ACB and DAE


75 degrees

300

Find x

x = 40 degrees

300

Always, Sometimes, Never: 

An angle inscribed in a semicircle is ______ a right angles. 

Always

400

DOUBLE POINT QUESTION! 

Find the measure of arc AD


48 degrees

400

Find the missing angles n, p, m

n = 41 degrees

p = 61 degrees

m = 29 degrees

400

Find the measure of angle DFE and DGB

angle DFE = 67 degrees

angle DGB = 88 degrees

400

True or False? A diameter that is perpendicular to a chord must bisect the chord. 

True

500

Find angle SPQ 


146 degrees

500

DOUBLE POINT QUESTION! Find angles x, y, z

x = 40 degrees

y = 25 degrees

z = 115 degrees

500

DOUBLE POINT QUESTION! The radius of circle 𝑨 is πŸ’. 𝑫π‘ͺΜ… and π‘ͺ𝑬̅ are tangent to the circle with 𝑫π‘ͺ = 𝟏𝟐. Find the measure of angle C, the arc 𝑫𝑬, and the area of quadrilateral 𝑫𝑨𝑬π‘ͺ rounded to the nearest hundredth.

Angle C = 36.87 degrees

Measure DE = 143.13 degrees

The area of DAEC = 48 square units

500

Always, sometimes, never: 

If a line is tangent to a circle, then the line is perpendicular to the radius drawn at the point of tangency. 

Always

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