This math topic focuses on the geometry of circles, specifically working with inscribed triangles where one side is the diameter. The main skill practiced is solving for missing angles within these triangles. Each problem presents a different triangle inscribed in a circle, with one angle given and the student required to find another. The problems invite the student to apply the theorem that a triangle inscribed in a circle and subtended by the diameter is a right triangle. Various angle values are presented in a multiple-choice format for students to select the correct answer.
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Find angle BNM in degrees given that BMN is 20º and NM forms a diameter
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Math worksheet on 'Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
Find angle CZM in degrees given that CMZ is 70º and ZM forms a diameter |
25º |
10º |
20º |
50º |
65º |
55º |
Find angle MNB in degrees given that MBN is 70º and NB forms a diameter |
65º |
10º |
50º |
55º |
80º |
20º |
Find angle BYM in degrees given that BMY is 60º and YM forms a diameter |
60º |
45º |
15º |
0º |
75º |
30º |
Find angle ZRB in degrees given that ZBR is 30º and RB forms a diameter |
45º |
90º |
75º |
15º |
60º |
120º |
Find angle PXC in degrees given that PCX is 50º and XC forms a diameter |
40º |
130º |
70º |
85º |
20º |
35º |
Find angle BCD in degrees given that BDC is 20º and CD forms a diameter |
115º |
25º |
40º |
100º |
70º |
55º |
Find angle ZBN in degrees given that ZNB is 60º and BN forms a diameter |
15º |
105º |
90º |
30º |
0º |
60º |