Inscribed Triangle on Diameter - Missing Angle (Level 1)
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.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
moreMath 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 DYM in degrees given that DMY is 40º and YM forms a diameter |
65º |
50º |
110º |
10º |
20º |
140º |
Find angle RXP in degrees given that RPX is 20º and XP forms a diameter |
25º |
5º |
55º |
10º |
100º |
70º |
Find angle MZB in degrees given that MBZ is 30º and ZB forms a diameter |
120º |
15º |
60º |
45º |
30º |
0º |
Find angle RBN in degrees given that RNB is 40º and BN forms a diameter |
35º |
125º |
10º |
5º |
65º |
50º |
Find angle YRD in degrees given that YDR is 30º and RD forms a diameter |
60º |
30º |
150º |
75º |
15º |
0º |
Find angle PRB in degrees given that PBR is 50º and RB forms a diameter |
40º |
55º |
35º |
20º |
85º |
115º |
Find angle XPR in degrees given that XRP is 40º and PR forms a diameter |
140º |
10º |
25º |
50º |
110º |
20º |